1. Let f (x) =4cos The graph crosses the y-axis at the point P and the x- IX axis at the point Q. a. Write an equation of the line through the points (0, 4) and Q(1,0) b. Find the x-coordinate of the point on the graph of f, between P and Q, at which the tangent line is parallel to the line PQ. Q 0.5 1,5 -1 What theorem guarantees that there is a point (c, f(c)) in the interval [0,1] where f'(c) is equal to the slope of the line between P and Q? C.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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1. Let f ( x) =4cos
-TX . The graph crosses the y-axis at the point P and the x-
axis at the point Q.
a.
Write an equation of the line through the points (0, 4) and Q(1,0)
y
2.
b. Find the x-coordinate of the point on the graph of f, between P and Q, at
which the tangent line is parallel to the line PQ.
0.5
1.5
-1
What theorem guarantees that there is a point (c, f(c)) in the interval
[0,1] where f'(c) is equal to the slope of the line between P and Q?
C.
3
Transcribed Image Text:1. Let f ( x) =4cos -TX . The graph crosses the y-axis at the point P and the x- axis at the point Q. a. Write an equation of the line through the points (0, 4) and Q(1,0) y 2. b. Find the x-coordinate of the point on the graph of f, between P and Q, at which the tangent line is parallel to the line PQ. 0.5 1.5 -1 What theorem guarantees that there is a point (c, f(c)) in the interval [0,1] where f'(c) is equal to the slope of the line between P and Q? C. 3
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