Let f be a continuous differentiable function on [-3,4]. If ƒ(−3) = ƒ (4), then ƒ is guaranteed to have Select one: O a. a critical number in the interval (-3,0). O b. at least two critical numbers in the interval (-3,0). O c. a critical number in the interval (-3,4). O d. a critical number in the interval (0,4). e. at least three critical numbers in the interval (-3,0).

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.2: Integration By Parts
Problem 24E
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Let ƒ be a continuous differentiable function on [−3,4]. If ƒ(-3) = f(4), then ƒ is guaranteed to have
Select one:
a critical number in the interval (-3,0).
b. at least two critical numbers in the interval (-3,0).
O c. a critical number in the interval (-3,4).
a critical number in the interval (0,4).
a.
d.
e.
at least three critical numbers in the interval (-3,0).
Transcribed Image Text:Let ƒ be a continuous differentiable function on [−3,4]. If ƒ(-3) = f(4), then ƒ is guaranteed to have Select one: a critical number in the interval (-3,0). b. at least two critical numbers in the interval (-3,0). O c. a critical number in the interval (-3,4). a critical number in the interval (0,4). a. d. e. at least three critical numbers in the interval (-3,0).
The area enclosed between f(x) = x² + ex and the x-axis for x E [0,2] is equal to
Select one:
a.
O b.
C.
O d.
e.
xe+1
e + 1
e²
e + 1
+ ex
L
+ C where C is the constant of integration
-e²
e + 1
[²³(x² +
(x² + ex) dx
(x² + ex)dx
Transcribed Image Text:The area enclosed between f(x) = x² + ex and the x-axis for x E [0,2] is equal to Select one: a. O b. C. O d. e. xe+1 e + 1 e² e + 1 + ex L + C where C is the constant of integration -e² e + 1 [²³(x² + (x² + ex) dx (x² + ex)dx
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