Explanation Given Information: The provided graph is: Stationary points lie within the domain, where the derivative is zero and they can be determined by evaluating f ' ( x ) = 0 and find the value of x . Singular points also lie within the domain, where the derivative is not defined and they can be determined by finding the points at f ' ( x ) = undefined . Conditions to find Extremes: Let a continuous function f having c as a critical point, then find the derivative at left and right side of x = c . 1. If f ' ( x ) is positive to the left of x = c and negative to the right, then f has a maximum at x = c . 2. If f ' ( x ) is negative to the left of x = c and positive to the right, then f has a minimum at x = c . 3. The f can neither be maximum nor minimum, if there occurs same sign on both sides of, x = c of f ' ( x ) . Consider the provided graph: It can be deduced from the above graph that f ' ( x ) = 0 at x = 1 , thus from the above definition stationary points is at x = 1

Student Solutions Manual for Waner/Costenoble's Finite Math and Applied Calculus, 7th

7th Edition

ISBN: 9781337275972

Author: Waner, Stefan; Costenoble, Steven

Publisher: Cengage Learning

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Chapter 12.1, Problem 50E

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Whether the function is classified as relative maximum, relative minimum or neither and also finds the x− coordinates of the all stationary and singular points of function f given below,

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Chapter 12.1, Problem 49E

Chapter 12.1, Problem 51E

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u, v and w are three coplanar vectors: ⚫ w has a magnitude of 10 and points along the positive x-axis ⚫ v has a magnitude of 3 and makes an angle of 58 degrees to the positive x- axis ⚫ u has a magnitude of 5 and makes an angle of 119 degrees to the positive x- axis ⚫ vector v is located in between u and w a) Draw a diagram of the three vectors placed tail-to-tail at the origin of an x-y plane. b) If possible, find w × (ū+v) Support your answer mathematically or a with a written explanation. c) If possible, find v. (ū⋅w) Support your answer mathematically or a with a written explanation. d) If possible, find u. (vxw) Support your answer mathematically or a with a written explanation. Note: in this question you can work with the vectors in geometric form or convert them to algebraic vectors.

Question 3 (6 points) u, v and w are three coplanar vectors: ⚫ w has a magnitude of 10 and points along the positive x-axis ⚫ v has a magnitude of 3 and makes an angle of 58 degrees to the positive x- axis ⚫ u has a magnitude of 5 and makes an angle of 119 degrees to the positive x- axis ⚫ vector v is located in between u and w a) Draw a diagram of the three vectors placed tail-to-tail at the origin of an x-y plane. b) If possible, find w × (u + v) Support your answer mathematically or a with a written explanation. c) If possible, find v. (ū⋅ w) Support your answer mathematically or a with a written explanation. d) If possible, find u (v × w) Support your answer mathematically or a with a written explanation. Note: in this question you can work with the vectors in geometric form or convert them to algebraic vectors.

Chapter 12 Solutions

Student Solutions Manual for Waner/Costenoble's Finite Math and Applied Calculus, 7th

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Whether the function is classified as relative maximum , relative minimum or neither and also finds the x − coordinates of the all stationary and singular points of function f given below,

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Whether the function is classified as relative maximum, relative minimum or neither and also finds the x− coordinates of the all stationary and singular points of function f given below,

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