Solve the problem.How many different three-digit numbers can be written using digits from the set {2, 3, 4, 5, 6} without any repeating digits?
A. 20
B. 10
C. 120
D. 60
Answer: D
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Find the center of mass of a thin plate of constant density covering the given region.The region bounded by y = x2 and y = 9
A. 
= 0, 
= 
B. 
= 0, 
= 15
C. 
= 0, 
= 
D. 
= 0, 
= 
Convert the decimal number to the given base.503 to base eight
A. 767eight B. 676eight C. 656eight D. 565eight
Provide an appropriate response.Assume that f(x) and g(x) are two functions with the following properties: g(x) and f(x) are everywhere continuous, differentiable, and positive; f(x) is everywhere increasing and g(x) is everywhere decreasing. Which of the following functions are everywhere decreasing? Prove your assertions.i). h(x) = f(x) + g(x)ii). j(x) = f(x)?g(x)iii). k(x) = 
iv). p(x) = 
g(x)v). r(x) = f(g(x)) = (f?g)(x)
What will be an ideal response?
Use the Binomial Theorem to expand the binomial and express the result in simplified form.(4x - 2)4
A. -512x4 + 1024 x3 + 384x2 + 256x + 16 B. 256x4 - 16x4 C. 256x3 - 512x2 + 384x - 128 D. 256x4 - 512x3 + 384x2 - 128x + 16