Find the center of mass of a thin plate of constant density covering the given region.The region enclosed by the parabolas y = - x2 + 32 and y = x2
A. 
= 0, 
= 16
B. 
= 0, 
= 
C. 
= 16, 
= 0
D. 
= 0, 
= 32
Answer: A
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Describe the orthocentric set of a triangle.
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The function f is one-to-one. Find its inverse.f(x) = (x - 5)3
A. f-1(x) = 
+ 5
B. f-1(x) = 
- 5
C. f-1(x) = 
+ 125
D. f-1(x) = 
+ 5
Determine whether the argument in the problem below is valid or invalid. If valid, name the type of reasoning and if invalid, determine the error in reasoning. ? If I inherit $1,100, I will buy you a cookie. I inherit $1,100. Therefore, I will buy you a cookie. ?
A. valid; direct B. invalid; false chain C. invalid; indirect D. valid; indirect E. invalid; direct
Solve the problem.Assume it costs 25 cents to mail a letter weighing one ounce or less, and then 20 cents for each additional ounce or fraction of an ounce. Let L(x) be the cost of mailing a letter weighing x ounces. Graph y = L(x). Find the intervals on which L(x) is continuous.
A. 
L(x) is continuous on the intervals [0, 1), [1, 2), [2, 3), . . .
B. 
L(x) is continuous on the intervals [0, 1), [1, 2), [2, 3), . . .
C. 
L(x) is continuous on the intervals (0, 1], (1, 2], (2, 3], . . .
D. 
L(x) is continuous on the intervals (0, 1], (1, 2], (2, 3], . . .