Use the formula for the general term (the nth term) of a geometric sequence to find the indicated term of the sequence with the given first term, a1, and common ratio, r.Find a5 when a1 = 8, r = -5.
A. 5000
B. -25,000
C. -5000
D. 625
Answer: A
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Find the coordinates of the centroid of the curve.Find the coordinates of the centroid of the curve x = e4t cos 4t, y = e4t sin 4t, 0 ? t ? 
.
A. (
, 
) = 
B. (
, 
) = 
C. (
, 
) = 
D. (
, 
) = 
Solve the problem.If f(x, y) = (4000ey)/(1 + 
/2) represents the population density of a planar region on Earth, where x and y are measured in miles, find the number of people within the rectangle -9 ? x ? 9 and -2 ? y ? 0.
A. 8000(1 - e-2) ln 5 ? 16,587
B. 4000(1 - e-2) ln 
? 5896
C. 8000(1 - e-2) ln 
? 11,792
D. 16,000(1 - e-2) ln 
? 23,585
Find the linearization L(x) of f(x) at x = a.f(x) = 5x2 + 4x + 4, a = 5
A. L(x) = 46x + 129 B. L(x) = 46x - 121 C. L(x) = 54x - 121 D. L(x) = 54x + 129
Solve the problem.A football player kicks two consecutive field goals from approximately the same distance. Each field goal is worth three points and has probability of success p = 
. Let X denote the number of points scored. Find the expected value of X.
A. 3.0 points B. 3.6 points C. 2.88 points D. 2.97 points E. 2.4 points