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5. Let f(x)= 12-x for x ≥ 0 and f(x) ≥ 0. (a) The line tangent to the graph off at the point(k, f(k)) intercepts the x-axis at x = 4. What is the value of k? (b) An isosceles triangle whose base is the interval from (0,0) to (c,0) has its vertex on the graph off. For what value of c does the triangle have maximum area? Justify your answer.

5. Let f(x)= 12-x for x ≥ 0 and f(x) ≥ 0. (a) The line tangent to the graph off at the point(k, f(k)) intercepts the x-axis at x = 4. What is the value of k? (b) An isosceles triangle whose base is the interval from (0,0) to (c,0) has its vertex on the graph off. For what value of c does the triangle have maximum area? Justify your answer.

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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Part b only pls.

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5. Let f(x) = 12-x for x ≥ 0 and f(x) ≥ 0. (a) The line tangent to the graph off at the point(k, f(k)) intercepts the x-axis at x = 4. What is the value of k? (b) An isosceles triangle whose base is the interval from (0,0) to (c,0) has its vertex on the graph off. For what value of c does the triangle have maximum area? Justify your answer.
Transcribed Image Text:5. Let f(x) = 12-x for x ≥ 0 and f(x) ≥ 0. (a) The line tangent to the graph off at the point(k, f(k)) intercepts the x-axis at x = 4. What is the value of k? (b) An isosceles triangle whose base is the interval from (0,0) to (c,0) has its vertex on the graph off. For what value of c does the triangle have maximum area? Justify your answer.
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