Use synthetic division to find the quotient and the remainder.
A. quotient: 2x3 - 5x2 + 3; remainder: -9
B. quotient: 2x3 + 5x2 + 3; remainder: 9
C. quotient: 2x3 - 7x2 + 6x -15; remainder: 45
D. quotient: 2x3 - 7x2 + 6x -15; remainder: - 45
Answer: C
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Evaluate the integral.
dx
A. - 
ln
+ C
B. - 
ln
+ C
C. 
ln
+ C
D. - 
ln
+ C
Use the graph of the function f(x) to locate the local extrema and identify the intervals where the function is concave up and concave down.
A. Local minimum at x = 0; local maximum at x = 2; concave up on (0, ?); concave down on (-?, 0) B. Local minimum at x = 2; local maximum at x = 0; concave down on (0, ?); concave up on (-?, 0) C. Local minimum at x = 0; local maximum at x = 2; concave down on (0, ?); concave up on (-?, 0) D. Local minimum at x = 2; local maximum at x = 0; concave up on (0, ?); concave down on (-?, 0)
Find the product.(0.5 + 9a)(0.4 + 7a)
A. 0.2 + 7.1a + 63a2 B. 0.2 - 7.1a + 63a2 C. 0.2 + 7.1a + 0.63a2 D. 2 + 7.1a + 63a2
Suppose that the functions f and g and their derivatives with respect to x have the following values at the given values of x. Find the derivative with respect to x of the given combination at the given value of x.
g(x + f(x)), x = 3
A. -32 B. -4 C. -36 D. 27