4) Consider f(x) = 4 sin x, part of which is shown. The point A has coordinates (5,4) and the point B has coordinates (, 0). a) Find an exact equation of the line passing through points A and B. b) Find an exact equation of the line tangent to the graph at point B. B 3m4 c) Find the x-coordinate of the point on the graph, between points A'and B, whose tangent line is parallel to the line passing through points A and B. d) Find the area of the region bounded by the graph of f(x) and the line connecting A and B.

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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I need help with this calculus graphing problem. Thanks

4) Consider f(x) = 4 sin x, part of which is shown. The point A
has coordinates (,4) and the point B has coordinates (, 0).
a) Find an exact equation of the line passing through points A
and B.
b) Find an exactequation of the line tangent to the graph at
point B.
B
3t/4
c) Find the x-coordinate of the point on the graph, between points A'and B, whose tangent line is parallel to the
line passing through points A and B.
d) Find the area of the region bounded by the graph of f(x) and the line connecting A and B.
Transcribed Image Text:4) Consider f(x) = 4 sin x, part of which is shown. The point A has coordinates (,4) and the point B has coordinates (, 0). a) Find an exact equation of the line passing through points A and B. b) Find an exactequation of the line tangent to the graph at point B. B 3t/4 c) Find the x-coordinate of the point on the graph, between points A'and B, whose tangent line is parallel to the line passing through points A and B. d) Find the area of the region bounded by the graph of f(x) and the line connecting A and B.
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