Find the area of the surface generated when the given curve is revolved about the x-axis. y =
on 
A.
B.
C. (19
- 7
)
D. (21
-
)
Answer: C
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Find the center of mass of a thin plate covering the given region with the given density function.The region bounded by x = y2 and the line x = 1, with density ?(x) = y2
A. =
,
= 0
B. = 0,
=
C. =
,
= 0
D. =
,
= 0
Form a polynomial whose zeros and degree are given. Use a leading coefficient of 1. Zeros: -3, -2, 2; degree 3
A. f(x) = x3 - 3x2 + 4x - 12 B. f(x) = x3 + 3x2 + 4x + 12 C. f(x) = x3 + 3x2 - 4x - 12 D. f(x) = x3 - 3x2 - 4x + 12
Decide whether the composite functions, f ? g and g ? f, are equal to x.f(x) = , g(x) = x2
A. Yes, no B. No, no C. No, yes D. Yes, yes
Solve the problem.Super Sally, a truly amazing individual, picks up a rock and throws it as hard as she can. The table below displays the relationship between the rock's horizontal distance, d (in feet) from Sally and the initial speed with which she throws. Assume that the horizontal distance travelled varies linearly with the speed with which the rock is thrown. Using a graphing utility, find the line of best fit, and estimate, rounded to two decimal places, the horizontal distance of the rock if the initial speed is 33 feet per second.
A. 26.67 ft B. 31.33 ft C. 31.34 ft D. 34.76 ft