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
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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
Use the rules of exponents to simplify the expression. Use positive exponents to write the answer.
A.
B.
C. 4x3ab
D.
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
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