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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 43E
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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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