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10 questions
Let f be the function given by f(x)=300x − x3 . On which of the following intervals is the function f increasing?
(−∞,−10] and [10,∞)
[−10,10]
[0,10] only
[0,103] only
[0,∞)
Which of the following could be the graph of f', the derivative of f?
A
B
C
D
E
A particle moves along the x-axis. The velocity of the particle at time t is 6t−t2 . What is the total distance traveled by the particle from time t = 0 to t = 3?
3
6
9
18
27
∫dx
x1+C
Not Possible
x+C
C
∫sin(5x)dx=
cos(5x)+C
−51cos(5x)+C
51cos(5x)+C
−5cos(5x)+C
5cos(5x)+C
∫(x4 − ex + 6x)dx
x24−xex+6x23+C
4ln∣x∣−ex+4x23+C
4ln∣x∣−ex+6x23+C
4ln∣x∣+ex+4x23+C
∫2x cosx2 dx
sinx2 + C
2sin2x + C
21sinx2 + C
4cos(2x) + C
What is the area of the region in the first quadrant bounded by the graph of y = e2x and the line x = 2 ?
2e−2
2e
2e−1
2e−1
e−1
Find the volume of a solid generated by the graph bounded by y=x2 and the line y =9 when it is revolved around the x-axis.
456
610.73
194.4
610.726
Which derivative represents the slope field?
dxdy=−x
dxdy=x2
dxdy=yx
dxdy=xy
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