Find the area of the specified region.Shared by the circles r = 9 cos ? and r = 9 sin ?
A. 
?
B. 
(? - 2)
C. 
(4? - 3
)
D. 
(2 - 
)
Answer: B
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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. -5 B. -30 C. -35 D. 21
Find all the roots of the function. Use preliminary analysis and graphing to determine good initial approximations. Round to six decimal places.f(x) = cos 2x - 
+ 3
A. x ? -2.579947, 2.801947 B. x ? -2.690947, 2.690947 C. x ? -2.801947, 2.579947 D. x ? -4.190947, 1.190947
For the pair of functions, perform the indicated operation.f(x) = 2x - 2, g(x) = 5x - 8
Find (f - g)(x).
A. -3x - 10 B. 7x - 10 C. -3x + 6 D. 3x - 6
Write the first six terms of the sequence beginning with the given term. Then calculate the first and second differences of the sequence. State whether the sequence has a linear model, a quadratic model, or neither. ? a?1 = 3 an = n - an - 1 ?
A. 3, -1, 4, 0, 5, 1First differences: -9, 9, -9, 9Second differences: -4, 5, -4, 5, -4Linear B. 0, 3, -1, 4, 0, 5First differences: -4, 5, -4, 5, -4Second differences: -9, -9, -9, -9Quadratic C. 3, -1, 4, 0, 5, 1First differences: -9, -9, -9, -9Second differences: -4, 5, -4, 5, -4Neither D. 3, -1, 4, -0, 5, -1First differences: -9, -9, -9, -9Second differences: -4, 5, -4, 5, -4Linear E. 3, -1, 4, 0, 5, 1First differences: -4, 5, -4, 5, -4Second differences: 9, -9, 9, -9Neither