Solve the problem.Find the center of mass of the thin semicircular region of constant density 
bounded by the 
and the curve 
.
A. 
= 0, 
= 
B. 
= 0, 
= 
C. 
= 0, 
= 
D. 
= 0, 
= 
Answer: B
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Solve the problem.Pizzicato Pizza, Inc. finds that the cost to make x pizzas (with one topping) is 
while the revenue produced from them is 
(C and R are in dollars). What is the smallest whole number of pizzas, x, that must be sold for the company to show a profit?
A. 140 B. 182 C. 40,171 D. 30,719
Solve by any method. If there is not one solution to a system, state why.y - 2x = 44y = 8x + 16
A. (1, 1) B. No solution, inconsistent system C. (-1.5, -1) D. Infinite number of solutions, dependent equations
A 30-ft ladder leaning against a wall begins to slide. How fast is the top of the ladder sliding down the wall at the instant of time when the bottom of the ladder is 18 ft from the wall and sliding away from the wall at the rate of 3 ft/sec?
?
Hint: Refer to the accompanying figure. By the Pythagorean theorem, 
. Find 
when 
and 
.
?
a = 30; b = 3
?
A. 4 ft/sec
B. 
ft/sec
C. 
ft/sec
D. 3 ft/sec
E. 
ft/sec
Evaluate the exponential expression.2 ? 35
A. 7776 B. 30 C. 250 D. 486