Determine all critical points for the function.f(x) = x3 - 12x - 1

A. x = -2 and x = 2
B. x = 2
C. x = -2, x = 0, and x = 2
D. x = -2


Answer: A

Mathematics

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Write the compound statement in symbols. Then construct a truth table for the symbolicstatement.Let r = "The food is good," p = "I eat too much,"q = "I'll exercise."If the food is good or if I eat too much, I'll exercise.

A. (r ? p) ? q  

TTT T
TTF F
TFT T
TFF T
FTT T
FTF T
FFT T
FFF T

B. (r ? p) ? q

TTT T
TTF F
TFT T
TFF F
FTT T
FTF F
FFT T
FFF T

C. r ? (p ? q)

TTT T
TTF T
TFT T
TFF F
FTT T
FTF T
FFT T
FFF T

D. r ? p ? q

TTT T
TTF T
TFT T
TFF F
FTT T
FTF T
FFT T
F F F T

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Solve.For a cross-section of pipe with an inside diameter of 4 inches, how much additional material is needed to make the pipe  inch thick than to make it  inch thick? Round to the nearest thousandth.

Fill in the blank(s) with the appropriate word(s).

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Solve the problem.A young woman wins $150,000 and buys 5 new cars. She chooses from cars that are priced at $40,000, $30,000, and $25,000 and spends all of the money. How many $25,000 cars did she buy?

A. 0, 1, 2, or 3 B. 0 C. 0 or 2 D. 6

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If a< b, then a - c  >  b - c.

Answer the following statement true (T) or false (F)

Mathematics