Let f(x) = 3/2 cos x and let a = Complete parts (a) through (d) below. 4 a. Find the linear approximation L for the function f at the point a. L(X) =D b. Graph fand L on the same set of axes. Choose the correct graph below. OA. OB. Oc. OD. c. Based on the graphs in part (b), state whether linear approximations to f near a are underestimates or overestimates. Linear approximations to f(x) = 3/2 cos x near a= are 4 V because the graph of L lies v the graph of f near a. d. Compute f"(a) to confirm the conclusion in part (c). The value of f"(x) at a = isf T=L. which is V 0. This means that f is concave confirming the conclusion in part (c).
Let f(x) = 3/2 cos x and let a = Complete parts (a) through (d) below. 4 a. Find the linear approximation L for the function f at the point a. L(X) =D b. Graph fand L on the same set of axes. Choose the correct graph below. OA. OB. Oc. OD. c. Based on the graphs in part (b), state whether linear approximations to f near a are underestimates or overestimates. Linear approximations to f(x) = 3/2 cos x near a= are 4 V because the graph of L lies v the graph of f near a. d. Compute f"(a) to confirm the conclusion in part (c). The value of f"(x) at a = isf T=L. which is V 0. This means that f is concave confirming the conclusion in part (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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Transcribed Image Text:9n
Let f(x) = 3/2 cos x and let a =
Complete parts (a) through (d) below.
4
a. Find the linear approximation L for the function f at the point a.
L(x) =|
b. Graph f and L on the same set of axes. Choose the correct graph below.
OA.
OB.
OD.
c. Based on the graphs in part (b), state whether linear approximations to f near a are underestimates or overestimates.
9n
Linear approximations to f(x) = 3/2 cos x near a = -
because the graph of L lies
the graph of f near a.
are
4
d. Compute f''(a) to confirm the conclusion in part (c).
9n
The value of f'"(x) at a =
is f"
which is
V 0. This means that f is concave
confirming the conclusion in part (c).
=
4
4
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