3. Find the critical numbers of the function. (Enter your answers as a comma-separated list.) h(x) = sin2 x + cos x    0 < x < 2? x =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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3. Find the critical numbers of the function. (Enter your answers as a comma-separated list.)

h(x) = sin2 x + cos x    0 < x < 2?
x = 
4. Find the critical numbers of the function. (Enter your answers as a comma-separated list.)
g(x) = 5x2(9x)
x = 
5. Find the critical numbers of the function. (Enter your answers as a comma-separated list.)
g(t) = 2t ln t
t = 
 
7. Determine whether Rolle's Theorem can be applied to f on the closed interval 
[a, b].
 (Select all that apply.)
f(x) = −x2 + 8x,    [0, 8]
Yes, Rolle's Theorem can be applied.No, because f is not continuous on the closed interval [ab].No, because f is not differentiable in the open interval (ab).No, because f(a) ≠ f(b).


If Rolle's Theorem can be applied, find all values of c in the open interval 
(a, b)
 such that 
f '(c) = 0.
 (Enter your answers as a comma-separated list. If Rolle's Theorem cannot be applied, enter NA.)
c = 
 
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