2024 Joe kahlig math 151

Math 151-copyright Joe Kahlig, 23C Page 5 Example: Find the values of x where the tangent line is horizontal for y = x2 4 3 ex2 Example: Find the 5th derivative of y = xe x. Math 151-copyright Joe Kahlig, 23C Page 6 Example Use the graph for the following. A) Find H0( 2) if H(x) = f(g(x)). Oh you know

Engineering Mathematics III Joe Kahlig. Lecture Notes. The class notes contain the concepts and problems to be covered during lecture. Printing and bringing a copy of the …Math 151-copyright Joe Kahlig, 23c Page 1 Section 2.7: Tangents, Velocities, and Other Rates of Change De nition: The instantaneous rate of change of a function f(x) at x = a is the slope of the tangent line at x = a and is denoted f0(a). Example: Use this graph to answer these questions. A) Estimate the instantaneous rate of change at x = 1.Math 151-copyright Joe Kahlig, 19C Page 1 Section 5-1: Additional Problems Solutions. Created Date: 11/8/2019 3:02:42 PMMath 151-copyright Joe Kahlig, 23c Page 2 B) y = 5 m 6 = () = Want to read all 4 pages? Previewing 4 of 4 pages Upload your study docs or become a member. View full document. End of preview. Want to read all 4 pages? Upload your study docs or become a member. View full document. Other ... Math 151. Engineering Mathematics I Fall 2023 Joe Kahlig. Class Information . Office Hours ; Syllabus ; Lecture Notes with additional information Math 151-copyright Joe Kahlig, 19c Page 1 Section 3.2: Additional Problems Solutions 1. Find the equation of the tangent line at x = 2 for f(x) = x x 1 The point that we want the tangent line at is (2;f(2)) or (2;2).Free essays, homework help, flashcards, research papers, book reports, term papers, history, science, politics Math 151 - Fall 2023 Hands On, Grades Up Math 151 - Hands On, Grades Up 12 Soln (Final Review) Justin Cantu Please scan the QR code below. We will begin at 7PM. A problem will be displayed on the table monitors. Collaborate with your table on how to solve each problem. If you have a question, raise your hand. After several minutes, Math 151. Engineering Mathematics I Joe Kahlig. Lecture Notes. The class notes contain the concepts and problems to be covered during lecture. Printing and bringing a ... MATH 171 designed to be a more demanding version of this course. Only one of the following will satisfy the requirements for a degree: MATH 131, MATH 142 , MATH 147 , MATH 151 or MATH 171 . Prerequisite: Grade of C or better in MATH 150 or equivalent or acceptable score on TAMU Math Placement Exam; also taught at Galveston and Qatar campuses. Math 151-copyright Joe Kahlig, 23C Page 2 De nition of the Derivative: The derivative of a function f(x), denoted f0(x) is f0(x) = lim h!0 f(x+ h) f(x) h Other common notations for the derivative are f0, dy dx, and d dx f(x) Note: Once you have the function f0(x), also called the rst derivative, you can redo the derivative MATH 142, MATH 147, MATH 151, or MATH 171 Course Learning Outcomes • Understand and be able to solve problems involving the time value of money. • Develop quantitative and problem-solving skills, ... Spring 2023: Math 325 Syllabus Joe Kahlig Page of 8 course.Math 151. Engineering Mathematics I Fall 2023 Joe Kahlig. Class Information . Office Hours ; Syllabus ; Lecture Notes with additional information ... Paul's Online Math Notes (good explanations, but only notes and practice problems) Coursera ...Math 151-copyright Joe Kahlig, 19C Page 4 . Example: Examine the concavity of the function f (x). Definition: An inflection point is a point on the graph of f (x) where f (x) changes concavity. Discuss the properties of the the derivate …MATH 142, MATH 147, MATH 151, or MATH 171 Course Learning Outcomes • Understand and be able to solve problems involving the time value of money. • Develop quantitative and problem-solving skills, ... Spring 2023: Math 325 Syllabus Joe Kahlig Page of 8 course.Joe Kahlig at Department of Mathematics, Texas A&M University. Joe Kahlig at Department of ... Math Circle. IAMCS: Institute for Applied Mathematics and Computational Science. High School Math Contest. Math Awareness Month. SMaRT Camp. Personalized Precalculus. Menu Featured programs. ABOUT. welcome employment contact. …Math 151-copyright Joe Kahlig, 23c Page 1 Section 3.7: Rates of Change in the Natural and Social Sciences Example: An object is moving in a straight line. Its position is given by s(t) = 4t3 9t2 + 6t + 2, where t is measured in seconds and s is measured in meters. A) Find the velocity of the object at time t. B) When is the object at rest?Math 151-copyright Joe Kahlig, 23C Page 2 De nition of the Derivative: The derivative of a function f(x), denoted f0(x) is f0(x) = lim h!0 f(x+ h) f(x) h Other common notations for the derivative are f0, dy dx, and d dx f(x) Note: Once you have the function f0(x), also called the rst derivative, you can redo the derivativeMath 152-copyright Joe Kahlig, 18A Page 1 Sections 5.2: Additioanal Problems 1. Express this limit as a de nite integral. Assume that a right sum was used. lim n!1 2 n Xn i=1 3 1 + 2i n 5 6! 2. Express this limit as a de nite integral. Assume that a right sum was used. lim n!1 Pn i=1 2 + i n 2 1 n = 3. Evaluate the integral by interpreting it ...math were largely concentrated at the Bank of New ... 151 / Tuesday, August 6, 2002 / Notices. As an ... See also: Haines, Joe. Maxwell. Boston: Houghton ...Math 251. Engineering Mathematics III Joe Kahlig. Lecture Notes. The class notes contain the concepts and problems to be covered during lecture. Printing and bringing a copy of the notes to class will allow you to spend less time trying to write down all of the information and more time understanding the material/problems.Math 151 - Fall 2023 Week-in-Review Math 151 - Week-In-Review 12 (5.5; Final Exam) Justin Cantu Disclaimer: This review does not cover every concept covered in MATH151 and should not be used as your sole source of study for the exam. You should also review lecture notes, Week-in-Review problems, HOGU problems, past exams, quizzes, and … The class notes contain the concepts and problems to be covered during lecture. Printing and bringing a copy of the notes to class will allow you to spend less time trying to write down all of the information and more time understanding the material/problems. Additional examples may be included during the lectures to clarify/illustrate concepts. Fredrick, Joe (Bertha) 2 ch foreman furniture factory T 322 W Logan St. ... 151. Borges, Miss Margaret Maria Stein Mar 83 ... Kahlig, Anton (Anna) 4 ch farmer O ...From what I remember, a lot of it was review, but there was some new material. I took it with Kahlig (would highly recommend him if he's teaching 151 or 152 next semester) and the only new thing that I remembered was the fundamental theorem of calculus.Or anyone that might know, really… Will the sample common exams be helpful if your professor is Joe Kahlig? Any tips or suggestions? [MATH 151 Common Exam Archive, Department of Mathematics, Texas A&M University]( ... Department of Mathematics, Texas A&M University) D wound up with MATH 151, PHYS 218, ENGR …If you have a touchscreen Windows 10 device like a Surface, OneNote can now recognize handwritten math equations and will even help you figure out the solutions. If you have a touc...MATH 151 Engineering Mathematics I (MATH 2413), Rectangular coordinates, vectors, analytic geometry, functions, limits, derivatives of functions, applications, integration, …Math 151-copyright Joe Kahlig, 19c Page 1 Section 4.9: Additional Problems Solutions 1. (a) f0(x) = x4 + 20x2 + 40 5x3 = x4 5x3 + 20x2 5x3 + 40 5x3 = 1 5 x+ 4x 1 + 8x 3 f(x) = 1 5 x2 2 + 4lnjxj+ 8 x 2 2 = x2 10 + 4lnjxj 4 x2 + C (b) f0(x) = 3 1 + x2 + 7 e2x + 15 p x + e 2= 3 1 + x2 + 7e x + 15x 1= + e f(x) = 3arctan(x) + 7e 2x 2 + 15x1=2 1=2 ... Math 325. The mathematics of Interest Spring 2024 Joe Kahlig. Class Information . Office Hours: Monday, Wednesday, Friday: 2pm-4pm in Blocker 624 other times by ... Math 152: Calculus II Spring 2015 Instructor: Joe Kahlig. advertisement ...Found. The document has moved here. I took MATH 152 last semester with a really bad prof, and the only way I passed is Joe Kahlig's (another professor's) website. Is has recordings of all notes, past WIRs, and practice problems with solutions. Google "tamu Joe Kahlig" and you should be able to find it, I highly reccomend checking it out Math 151-copyright Joe Kahlig, 23c Page 1 Section 3.7: Rates of Change in the Natural and Social Sciences Example: An object is moving in a straight line. Its position is given by s(t) = 4t3 9t2 + 6t + 2, where t is measured in seconds and s is measured in meters. A) Find the velocity of the object at time t. B) When is the object at rest?Joe Keller. Anna died July 13, 1934 age 60 yrs ... 151 East Columbus Street, St. Henry. Marv is the ... math and science teacher at St. Henry High School and ...Nelson 151 is the best place in Virginia to go on a craft beverage road trip. Here's where you need to stop. Meandering through Rockfish Valley, a scenic highway in Nelson County, ...Engineering Mathematics II Joe Kahlig. Lecture Notes. The class notes contain the concepts and problems to be covered during lecture. Printing and bringing a copy of the notes to class will allow you to spend less time trying to write down all of the information and more time understanding the material/problems.Math 151-copyright Joe Kahlig, 19c Page 2 8. A person in a rowboat 2 miles from the nearest point, called P, on a straight shoreline wishes to reach a house 6 miles farther down the shore. If the person can row at a rate of 3 miles per hour and walk at a rate of 5 miles per hour, how far along the shore should the person walk inMath 151-copyright Joe Kahlig, 09B Page 4 (d) lim x→2 1 x−2 − 4 x2 −4 = 9. (6 points) For what value(s) of cand mthat will make the function f(x) be diﬀerentiable everywhere. If this can not be done, then explain why. Fully justify your answers. f(x) = ˆ x2 for x<3 cx+m for x≥ 3 Check the back of the page for more problems.Math 151-copyright Joe Kahlig, 23C Page 4 Example: Find the value(s) of xwhere f(x) has a tangent line that is parallel to y= 6x+5 f(x) = x3 5x2 +6x 30 Example: Find the equation of the line(s) thru the point ( 1; 3) that are tangent to y= x2+7x+12. Math 151-copyright Joe Kahlig, 23C Page 5 Example: Find g0( x) when g(x) = Joe Kahlig at Department of Mathematics, Texas A&M University. ... Joe Kahlig Instructional Associate Professor. Office: Blocker 328D: Fax +1 979 862 4190: Email: Math 151-copyright Joe Kahlig, 19c Page 2 6. Here is the picture for this problem. Let L be the length of the cable. L = p x2 + 36 + p (10 x)2 + 64 Taking a derivative and solving L0= 0 gives x = 30 7 With a rst derivative sign chart, you can show that this value is a local min. 7. Here is the picture for this problem. Let C be the total cost ...(a) y = 4 arcsin(7 − x) 1 −4 p y0 = 4 ∗ p ∗ (−1) = 1 − (7 − x)2 1 − (7 − x)2 3 151 WebCalc Fall 2002-copyright Joe Kahlig (b) y = arccos(4x2 ) −1 −8x p y0 = p ∗ 8x = 1 − (4x2 )2 1 − …Advertisement Numbers pose a difficulty for humans. Sure, some of us have more of a gift for math than others, but every one of us reaches a point in our mathematical education whe... COURSE DESCRIPTION. MATH 151 Engineering Mathematics I (MATH 2413), Rectangular coordinates, vectors, analytic geometry, functions, limits, derivatives of functions, applications, integration, computer algebra. MATH 171 designed to be a more demanding version of this course. No category Math 151: Calculus I Spring 2014 Joe Kahlig INSTRUCTOR: advertisement Math 151. Engineering Mathematics I Fall 2023 Joe Kahlig. Class Information . Office Hours ; Syllabus ; Lecture Notes with additional information math were largely concentrated at the Bank of New ... 151 / Tuesday, August 6, 2002 / Notices. As an ... See also: Haines, Joe. Maxwell. Boston: Houghton ...If you have a touchscreen Windows 10 device like a Surface, OneNote can now recognize handwritten math equations and will even help you figure out the solutions. If you have a touc...Mar 27, 2021 ... ... 151 Legacy Lane Salem,. OH 44460. 3/18/2020 ... Math, CS + Engineering. Bldg. 36 East 5th Ave ... Kahlig Dozing & Excavating, Inc. 611 Union City ...MATH 151 - Common Exams Archive. Beginning in Fall 2017, the syllabus, content, and textbook for Math 151 were changed. All of the exams below do not cover the exact same content and sections. Only use the exams below as a general reference for more problems, NOT as your sole source of practice for exams. Make sure you know …Math 151-copyright Joe Kahlig, 09B Page 4 (d) lim x→2 1 x−2 − 4 x2 −4 = 9. (6 points) For what value(s) of cand mthat will make the function f(x) be diﬀerentiable everywhere. If this can not be done, then explain why. Fully justify your answers. f(x) = ˆ x2 for x<3 cx+m for x≥ 3 Check the back of the page for more problems.Advertisement Numbers pose a difficulty for humans. Sure, some of us have more of a gift for math than others, but every one of us reaches a point in our mathematical education whe...Math 151-copyright Joe Kahlig, 23C Page 6 Example: De ne g(a) by g(a) = Za 0 f(x) dx where f(x) is the graph given below. 1) Compute g(10) and g(20). 2) Find the intervals where g(a) is increasing. 3) If possible, give the values of … Math 151-copyright Joe Kahlig, 19c Page 6 B) lim x!1 1 + 3 x 2x = Created Date: 10/20/2023 3:23:49 PM Math 151-copyright Joe Kahlig, 19c Page 1 Section 4.9: Additional Problems 1. Find f(x). You might consider doing some algebra steps before nding the antiderivative. Math 151-copyright Joe Kahlig, 19C Page 2 Example: A circular cylindrical metal container, open at the top, is to have a capacity of 192ˇ in3. the cost of the material used for the bottom of the container is 15 cents per in2, and that of the material used for the side is 5 cents per in2. If there is no waste of material, nd the dimensions that Math 151. Engineering Mathematics I Joe Kahlig. Lecture Notes. The class notes contain the concepts and problems to be covered during lecture. Printing and bringing a copy of the notes to class will allow you to spend less time trying to write down all of the information and more time understanding the material/problems.Math 152-copyright Joe Kahlig, 19c Page 1 Section 3.1: Additional Problems 1. Use any method to nd the derivative of g(x) = j2x+ 5j 2. At what point on the curve y= x p xis the tangent line parallel to the line 3x y+ 6 = 0? 3. At what point does the curve y= 3ex 5xhave an instantaneous rate of change of 1? 4.Math 151 - Fall 2023 Week-in-Review Math 151 - Week-In-Review 12 (5.5; Final Exam) Justin Cantu Disclaimer: This review does not cover every concept covered in MATH151 and should not be used as your sole source of study for the exam. You should also review lecture notes, Week-in-Review problems, HOGU problems, past exams, quizzes, and …Math 151-copyright Joe Kahlig, 23c Page 3 De nition let y = f(x), where f is a di erentiable function. Then the di erential dx is an inde-pendent variable; that is dx can be given the value of any real number. The di erential dy is then de ned in … Math 151-copyright Joe Kahlig, 23c Page 1 Section 2.2: The Limit of a Function A limit is way to discuss how the values of a function(y-values) are behaving when xgets close to the number a. There are three forms to the limit. lim x!a f(x) lim x!a+ f(x) lim x!a f(x) We write lim x!a f(x) = Land say "the limit of f(x) as xapproaches afrom the ... Math 152-copyright Joe Kahlig, 19c Page 1 Section 3.1: Additional Problems 1. Use any method to nd the derivative of g(x) = j2x+ 5j 2. At what point on the curve y= x p xis the tangent line parallel to the line 3x y+ 6 = 0? 3. At what point does the curve y= 3ex 5xhave an instantaneous rate of change of 1? 4. Math 151-copyright Joe Kahlig, 23C Page 2 De nition of the Derivative: The derivative of a function f(x), denoted f0(x) is f0(x) = lim h!0 f(x+ h) f(x) h Other common notations for the derivative are f0, dy dx, and d dx f(x) Note: Once you have the function f0(x), also called the rst derivative, you can redo the derivative Math 151-copyright Joe Kahlig, 23C Page 1 Section 1.5: Inverse Trigonometric Functions De nition: A function is a rule that assigns to each element in set A exactly one element in set B. Set A is called the domain. The range of fis the set of all possible values of f(x) where xis in the domain, i.e. range = ff(x)jx2Ag. Example: Find the domain ... COURSE DESCRIPTION. MATH 151 Engineering Mathematics I (MATH 2413), Rectangular coordinates, vectors, analytic geometry, functions, limits, derivatives of functions, applications, integration, computer algebra. MATH 171 designed to be a more demanding version of this course. Engineering Mathematics III Joe Kahlig. Lecture Notes. The class notes contain the concepts and problems to be covered during lecture. Printing and bringing a copy of the notes to class will allow you to spend less time trying to write down all of the information and more time understanding the material/problems.Math 151-copyright Joe Kahlig, 23C Page 1 Section 1.5: Inverse Trigonometric Functions De nition: A function is a rule that assigns to each element in set A exactly one element in set B. Set A is called the domain. The range of fis the set of all possible values of f(x) where xis in the domain, i.e. range = ff(x)jx2Ag. Example: Find the domain ...Math 151: Calculus I Fall 2007 Joe Kahlig 862–1303. advertisement ...Math 151-copyright Joe Kahlig, 23C Page 3 Example: Compute the following for a = h3;4i, b = h6;2i, c = h 2;5i D) 3a 2c+ b De nition: A unit vector is a vector of length 1. The vectors i = h1;0iand j = h0;1iare referred to as the standard basis vectors for the xy plane. Example: Find a vector of length 7 that is in the same direction as a = h3;4iMath 251: Engineering Mathematics III Joe Kahlig Page 3 of 9 Homework Electronic homework assignments will be completed online in WebAssign. Please note that this homework may NOT be a comprehensive set of problems in terms of preparing for exams and quizzes. Some additional practice problems can be found on my webpage and in the … Math 151 - Fall 2023 Week-in-Review 9.Rancher John wants to fence a new pasture using a straight river as one side of the boundary. If Rancher John has 1200 yards of fencing materials, what are the dimensions of the largest area of the pasture that Rancher John can enclose? (a)300 yards ×300 yards (b)300 yards ×600 yards (c)250 yards ×700 yards Math 151-copyright Joe Kahlig, 23C Page 2 The Extreme Value Theorem: If f is a continuous on a closed interval [a;b], then f will have both an absolute max and an absolute min. They will happen at either critical values in the interval or at the ends of the interval, x = a or x = b. Restricted Domains:Math 152: Engineering Mathematics II Joe Kahlig Page 1 of 10 Course Information Course Number: Math 152 Course Title: Engineering Mathematics II Sections: 501 - 503, 510 - 512 Lecture Times: Sections 501 – 503: MWF Noon – 12:50 Sections 510 – 512: MWF 1:35 – 2:25 Location: Heldenfels 200*The math professor and TV presenter has advice for parents and teachers Our free, fast, and fun briefing on the global economy, delivered every weekday morning. Advertisement Adver... Math 151-copyright Joe Kahlig, 23C Page 2 De nition of the Derivative: The derivative of a function f(x), denoted f0(x) is f0(x) = lim h!0 f(x+ h) f(x) h Other common notations for the derivative are f0, dy dx, and d dx f(x) Note: Once you have the function f0(x), also called the rst derivative, you can redo the derivative Math 151-copyright Joe Kahlig, 23c Page 4 Example: A revolving beacon in a lighthouse makes one revolution every 15 seconds. The beacon is 200ft from the nearest point P on a straight shoreline. Find the rate at which a ray from the light moves along the shore at a point 400 ft from P.Fredrick, Joe (Bertha) 2 ch foreman furniture factory T 322 W Logan St. ... 151. Borges, Miss Margaret Maria Stein Mar 83 ... Kahlig, Anton (Anna) 4 ch farmer O ...MATH 142, MATH 147, MATH 151, or MATH 171 Course Learning Outcomes • Understand and be able to solve problems involving the time value of money. • Develop quantitative and problem-solving skills, ... Spring 2023: Math 325 Syllabus Joe Kahlig Page of 8 course.Math 151. Engineering Mathematics I Fall 2023 Joe Kahlig. Class Information . Office Hours ; Syllabus ; Lecture Notes with additional information ... Paul's Online Math Notes (good explanations, but only notes and practice problems) Coursera ...Math 151-copyright Joe Kahlig, 19c Page 6 B) lim x!1 1 + 3 x 2x = Created Date: 10/20/2023 3:23:49 PM5. / 5. Overall Quality Based on 170 ratings. Joe Kahlig. Professor in the Mathematics department at Texas A&M University at College Station. 88% Would take again. 4. Level …Please refer students to the link on the Math 151 course home page for information and instructions. As Joe Kahlig, who is conducting the Spring 2000 Math 151 Week in Reviews and Night Before Drills, sends problem sets and answers from week to week, students are apprised to refer frequently to the Web for updates (see date and time stamps at the …

Math 151-copyright Joe Kahlig, 23C Page 2 De nition of the Derivative: The derivative of a function f(x), denoted f0(x) is f0(x) = lim h!0 f(x+ h) f(x) h Other common notations for the derivative are f0, dy dx, and d dx f(x) Note: Once you have the function f0(x), also called the rst derivative, you can redo the derivative. Wa usa current time

MATH 151 Engineering Math I Fall 2023 Page 2 of 10 – Kahlig. S PECIAL C OURSE D ESIGNATION This is a CORE curriculum course in Mathematics equivalent to MATH 2413. Courses in this category focus on quantitative literacy in logic, patterns, and relationships. Courses involve the understanding of key mathematical concepts and the 5. / 5. Overall Quality Based on 170 ratings. Joe Kahlig. Professor in the Mathematics department at Texas A&M University at College Station. 88% Would take again. 4. Level …Math 142: Business Mathematics II Spring 2009 INSTRUCTOR: Joe Kahlig. advertisement ...Engineering Mathematics II Joe Kahlig. Lecture Notes. The class notes contain the concepts and problems to be covered during lecture. Printing and bringing a copy of the notes to class will allow you to spend less time trying to write down all of the information and more time understanding the material/problems. The class notes contain the concepts and problems to be covered during lecture. Printing and bringing a copy of the notes to class will allow you to spend less time trying to write down all of the information and more time understanding the material/problems. Additional examples may be included during the lectures to clarify/illustrate concepts. Math 151-copyright Joe Kahlig, 23C Page 5 Example: Find the values of x where the tangent line is horizontal for y = x2 4 3 ex2 Example: Find the 5th derivative of y = xe x. Math 151-copyright Joe Kahlig, 23C Page 6 Example Use the graph for the following. A) Find H0( 2) if H(x) = f(g(x))It isn’t just where you end up that counts, it’s how you got there and what happened along the way. The notion that math and writing ought to be taught in a similar way feels simul...Math 151-copyright Joe Kahlig, 23c Page 4 Example: A revolving beacon in a lighthouse makes one revolution every 15 seconds. The beacon is 200ft from the nearest point P on a straight shoreline. Find the rate at which a ray from the light moves along the shore at a point 400 ft from P.Math 151-copyright Joe Kahlig, 23C Page 4 Example: Find the value(s) of xwhere f(x) has a tangent line that is parallel to y= 6x+5 f(x) = x3 5x2 +6x 30 Example: Find the equation of the line(s) thru the point ( 1; 3) that are tangent to y= x2+7x+12. Math 151-copyright Joe Kahlig, 23C Page 5 Example: Find g0( x) when g(x) =Math 151-copyright Joe Kahlig, 19C Page 1 Sections 4.1-4.3 Part 2: Increase, Decrease, Concavity, and Local Extrema De nition: A critical number (critical value) is a number, c, in the domain of f such that f0(c) = 0 or f0(c) DNE. If f has a local extrema (local maxima or minima) at c then c is a critical value of f(x).Math 151-copyright Joe Kahlig, 23C Page 2 The Extreme Value Theorem: If f is a continuous on a closed interval [a;b], then f will have both an absolute max and an absolute min. They will happen at either critical values in the interval or at the ends of the interval, x = a or x = b. Restricted Domains:Math 152: Engineering Mathematics II Joe Kahlig Page 1 of 10 Course Information Course Number: Math 152 Course Title: Engineering Mathematics II Sections: 501 - 503, 510 - 512 Lecture Times: Sections 501 – 503: MWF Noon – 12:50 Sections 510 – 512: MWF 1:35 – 2:25 Location: Heldenfels 200* Math 151-copyright Joe Kahlig, 23c Page 2 Example: A person 1.8 meters tall is walking away from a 5meter high lamppost at a rate of 2m/sec. At what rate is the end of the person’s shadow moving away from the lamppost when the person in .

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