Calculate the arc length S and area A for each of the following sectors. Round to the nearest whole number if necessary.a = 82°, r = 7 in.
A. S = 12 in., A = 36 sq in.
B. S = 14 in., A = 28 sq in.
C. S = 10 in., A = 35 sq in.
D. S = 8 in., A = 35 sq in.
Answer: C
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Solve the problem.Suppose that y is inversely proportional to x and that y = 32 when x = 9. Find the constant of proportionality k. Then, find y when x = 8.
A. k = 
; y = 
B. k = 144; y = 18
C. k = 72; y = 9
D. k = 288; y = 36
Use a grapher to graph the function.When a pendulum of length 
has swung so that x is the radian measure of the angle formed by the pendulum and a vertical line, then if y cm is the vertical height of the end of the pendulum above its lowest position, 
. Graph the function for 
A. 
B. 
C. 
D. 
Find the derivative of the function.f(x) = (3x - 2)(2x3 - x2 + 1)
A. 24x3 - 7x2 + 21x + 3 B. 24x3 - 21x2 + 4x + 3 C. 6x3 + 7x2 - 21x + 3 D. 18x3 + 21x2 - 7x + 3
Perform the indicated operation. Assume that all variables are nonnegative.
- 18
A. -17
B. 17
C. -17
D. 19