Find the derivative of the function.y = x5cos x - 15x sin x - 15 cos x
A. x5 sin x - 5x4 cos x + 15x cos x
B. -x5 sin x + 5x4 cos x - 15x cos x - 30 sin x
C. -x5 sin x + 5x4 cos x - 15x cos x
D. -5x4 sin x - 15 cos x + 15 sin x
Answer: C
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Solve the problem.In statistics, the sampling distribution of the random variable Z = 
is the standard normal distribution, where 
is the sample mean, ? is the population mean, ? is the population standard deviation, and n is the sample size. Simplify this expression.
A. Z = 
B. Z = 
C. Z = ?
(
- ?)
D. Z = 
If the temperature is 37°C, use the formula F = 
C + 32 to convert it to Fahrenheit.
A. 212°F B. 98.6°F C. 100°F D. 66.6°F
Determine any local or absolute extrema as indicated.Use the graph of f to estimate the absolute extrema.
A. Absolute maximum: ?; absolute minimum: -? B. Absolute maximum: -1; absolute minimum: 2 C. No absolute maximum; no absolute minimum D. Absolute maximum: approx. 1.17; absolute minimum: approx. -3.33
Find the center, foci, and asymptotes of the hyperbola.
- 
= 1
A. C: (1, 1); F: (1, -4), (1, 6); A: y = 
x + 
, y = - 
x - 
B. C: (1, 1); F: (1, 6), (1, -4); A: y = 
x - 
, y = - 
x + 
C. C: (1, 1); F: (1, -2), (1, 4); A: y = 
x + 
, y = - 
x - 
D. C: (1, 1); F: (-2, 1), (4, 1); A: y = 
x - 
, y = - 
x - 