Explanation Given: If f is continuous on [ a , b ] and differentiable on ( a , b ) Concept Used: For mean value theorem f ( x ) is a function that satisfies two condition: 1. f ( x ) is continuous on the closed interval [ a , b ] 2. f ( x ) is differentiable on the open interval ( a , b ) 3. f ' ( c ) = f ( b ) − f ( a ) b − a If f is

Student's Solution and Survival Manual for Calculus

7th Edition

ISBN: 9781524934040

Author: STRAUSS MONTY J, TODA MAGDALENA DANIELE, SMITH KARL J

Publisher: Kendall Hunt Publishing

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The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.

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Question

Chapter 4.2, Problem 38PS

To determine

To prove: f(b)=f(a)+(b−a)f'(c)

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Chapter 4.2, Problem 37PS

Chapter 4.2, Problem 39PS

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4. A car travels in a straight line for one hour. Its velocity, v, in miles per hour at six minute intervals is shown in the table. For each problem, approximate the distance the car traveled (in miles) using the given method, on the provided interval, and with the given number of rectangles or trapezoids, n. Time (min) 0 6 12 18|24|30|36|42|48|54|60 Speed (mph) 0 10 20 40 60 50 40 30 40 40 65 a.) Left Rectangles, [0, 30] n=5 b.) Right Rectangles, [24, 42] n=3 c.) Midpoint Rectangles, [24, 60] n=3 d.) Trapezoids, [0, 24] n=4

The bracket BCD is hinged at C and attached to a control cable at B. Let F₁ = 275 N and F2 = 275 N. F1 B a=0.18 m C A 0.4 m -0.4 m- 0.24 m Determine the reaction at C. The reaction at C N Z F2 D

The correct answer is C,i know that we need to use stokes theorem and parametrize the equations then write the equation F with respect to the curve but i cant seem to find a way to do it, the integral should be from 0 to 2pi but i might be wrongcould you show me the steps to get to 18pi

Chapter 4 Solutions

Student's Solution and Survival Manual for Calculus

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To prove: f ( b ) = f ( a ) + ( b − a ) f ' ( c )

Solution Summary: The author explains that f(x) is a function that satisfies two conditions.

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To prove: f(b)=f(a)+(b−a)f'(c)

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Chapter 4 Solutions