Use the definite integral to find the area between the x-axis and the graph of f(x) over the indicated interval.f(x) =
; [1, 4]
A. 2
B.
C.
D. 4
Answer: A
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Find all the second order partial derivatives of the given function.f(x, y) = ex/y
A. =
;
=
;
=
=
B. =
;
= ex/y
;
=
= -ex/y
C. =
;
= -ex/y
;
=
= ex/y
D. =
;
= ex/y
;
=
= -ex/y
Decide whether or not the following is a statement.This test is too hard.
A. Statement B. Not a statement
If s represents the displacement and t represents the time for an object moving with rectilinear motion according to the given function, find the instantaneous velocity for the given time.s = 3t3 - 7t2 - 4t + 4; t = 4
A. 126 B. -24 C. 84 D. 18
Determine the intervals on which the function is increasing, decreasing, and constant.
A. Increasing on (-?, 4); Decreasing on (-4, ?); Constant on (4, ?) B. Increasing on (-?, 4); Decreasing on (-?, -4); Constant on (4, ?) C. Increasing on (4, ?); Decreasing on (-4, ?); Constant on (-4, 4) D. Increasing on (4, ?); Decreasing on (-?, -4); Constant on (-4, 4)