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.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 36E
Related questions
Question
Single choice questions answer question 6
![Single Choice Question
1. f« f(x)dx + fº f(x)dx=
(A) f f(x)dx
(B) f f(x) dx
(C) f f(x)dx
(D) fd f(x)dx
2. Suppose that F is an antiderivative of function f, if f is continuous on [a, b], then
S f(x)dx=..
·(
(A) F(a)-F(b)
(B) F(b)-F(a)
(C) F(x) + C
(D) F(x)
3. The area between the curves y = f(x) and y = g(x) and between x = a and = b
is..
(A) A = = S₂ g(x) = f(x) dx
(B) A = = S₂|f(x) = g(x)\dx
(D) A= ſő |ƒ(x)— f(x)|dx
(C) A = = S¢ |ƒ(x), g(x)|dx
4. If g' is continuous on [a, b] and f is continuous on the range of u = g(x), then
S f(g(x))g'(x)dx=
...( )
=...
(A) f(b) f(u)du (B) (b) g(u)du (C) f f(u)du
(D) fg(u)du
g(a)
g(a)
5. Suppose f is continuous on [—a, a]. If ƒ is odd, then ſå f(x)dx=· ·
(A) 2 fő f(x)dx
(B) 0
(C) 2 ff(x)dx
(D) ff(x)dx
6. If f is a function of two variables, partial derivatives f, is defined by.……...
f(x+h,y)-f(x,y)
(A) limħ→0
(B) limħ-0
(D) limħ→0
h
f(x+h)-f(x)
h
(C) limh-0
h→0
f(x,y+h)-f(x,y)
h
f(y+h)-f(y)
h
·(
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Transcribed Image Text:Single Choice Question
1. f« f(x)dx + fº f(x)dx=
(A) f f(x)dx
(B) f f(x) dx
(C) f f(x)dx
(D) fd f(x)dx
2. Suppose that F is an antiderivative of function f, if f is continuous on [a, b], then
S f(x)dx=..
·(
(A) F(a)-F(b)
(B) F(b)-F(a)
(C) F(x) + C
(D) F(x)
3. The area between the curves y = f(x) and y = g(x) and between x = a and = b
is..
(A) A = = S₂ g(x) = f(x) dx
(B) A = = S₂|f(x) = g(x)\dx
(D) A= ſő |ƒ(x)— f(x)|dx
(C) A = = S¢ |ƒ(x), g(x)|dx
4. If g' is continuous on [a, b] and f is continuous on the range of u = g(x), then
S f(g(x))g'(x)dx=
...( )
=...
(A) f(b) f(u)du (B) (b) g(u)du (C) f f(u)du
(D) fg(u)du
g(a)
g(a)
5. Suppose f is continuous on [—a, a]. If ƒ is odd, then ſå f(x)dx=· ·
(A) 2 fő f(x)dx
(B) 0
(C) 2 ff(x)dx
(D) ff(x)dx
6. If f is a function of two variables, partial derivatives f, is defined by.……...
f(x+h,y)-f(x,y)
(A) limħ→0
(B) limħ-0
(D) limħ→0
h
f(x+h)-f(x)
h
(C) limh-0
h→0
f(x,y+h)-f(x,y)
h
f(y+h)-f(y)
h
·(
)
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