For the pair of functions, find the indicated sum, difference, product, or quotient.f(x) = 16 - x2; g(x) = 4 - xFind (f + g)(x).

A. -x2 - x + 20
B. x3 - 4x2 - 16x + 64
C. 4 + x
D. -x2 + x + 12


Answer: A

Mathematics

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Compare the right-hand and left-hand derivatives to determine whether or not the function is differentiable at the point whose coordinates are given.y = y = -1

A. Since limx?-1+ f '(x) = -1 while limx?-1- f '(x) = 0, f(x) is not differentiable at 
B. Since limx?-1+ f '(x) = 0 while limx?-1- f '(x) = 1, f(x) is not differentiable at 
C. Since limx?-1+ f '(x) = 0 while limx?-1- f '(x) = -1, f(x) is not differentiable at 
D. Since limx?-1+ f '(x) = 0 while limx?-1- f '(x) = 0, f(x) is differentiable at 

Mathematics

Use the rules of exponents to simplify the expression. Use positive exponents to write the answer.

A.
B.
C. 4x3ab
D.

Mathematics

Find the center (h, k) and radius r of the circle with the given equation. 2(x - 1)2 + 2(y - 4)2 = 18

A. (h, k) = (1, 4); r = 3 B. (h, k) = (-1, -4); r = 6 C. (h, k) = (1, 4); r = 6 D. (h, k) = (-1, -4); r = 3

Mathematics

Estimate the variance for the following probability distribution to two decimal places. ?   ?

A. 1.89 B. 1.99 C. 1.41 D. 3.95 E. 1.00

Mathematics