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y 7. 5+ y = g(x) 4- 3- 2- 1. X- 1 2 3 4 5 6 7 The figure above shows the graph of the differentiable function g and the line tangent to the graph of g at the point (5, 2). Let f be the function given by ƒ (x) = | | g(t) dt. Let h be the function with first derivative given by h' (x) = x² sin() for 0 < x < 7. If the line tangent to the graph of h at x = a is parallel to the line tangent to the graph of f at x = 5, what is the value of a ?

y 7. 5+ y = g(x) 4- 3- 2- 1. X- 1 2 3 4 5 6 7 The figure above shows the graph of the differentiable function g and the line tangent to the graph of g at the point (5, 2). Let f be the function given by ƒ (x) = | | g(t) dt. Let h be the function with first derivative given by h' (x) = x² sin() for 0 < x < 7. If the line tangent to the graph of h at x = a is parallel to the line tangent to the graph of f at x = 5, what is the value of a ?

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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7 6. 5- y = g(x) 4+ 3- 2- 1. 1 2 3 4 6 7 The figure above shows the graph of the differentiable function g and the line tangent to the graph of g at the point (5, 2). Let f be the function given by f (æ) = / 9 (t) d't. Let h be the function with first derivative given by h' (x) = x2 sin() for 0 < x < 7. If the line tangent to the graph of h at x = a is parallel to the line tangent to the graph of f at x = 5, what is the value of a ? 1.273 1.857 C 2.572 •.. 24.885 CO
Transcribed Image Text:7 6. 5- y = g(x) 4+ 3- 2- 1. 1 2 3 4 6 7 The figure above shows the graph of the differentiable function g and the line tangent to the graph of g at the point (5, 2). Let f be the function given by f (æ) = / 9 (t) d't. Let h be the function with first derivative given by h' (x) = x2 sin() for 0 < x < 7. If the line tangent to the graph of h at x = a is parallel to the line tangent to the graph of f at x = 5, what is the value of a ? 1.273 1.857 C 2.572 •.. 24.885 CO
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