The eccentricity is given of a conic section with one focus at the origin, along with the directrix corresponding to that focus. Find a polar equation for the conic section. e =
, y = 5
A. r =
B. r =
C. r =
D. r =
Answer: C
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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.f(g(x)), x = 4
A. 8 B. -32 C. 24 D. -20
Give a rule for the piecewise-defined function. Then give the domain and range.
A. f(x) = ; Domain: (-?, ?), Range: (-?, 3] ? [3, ?)
B. f(x) = ; Domain: (-?, 3] ? [3, ?), Range: (-?, ?)
C. f(x) = ; Domain: (-?, 3) ? (3, ?), Range: (-?, ?)
D. f(x) = ; Domain: (-?, ?), Range: (-?, 3) ? (3, ?)
Give the equation of the horizontal asymptote, if any, of the function.h(x) =
A. y = 0
B. y = 9
C. y =
D. no horizontal asymptote
Following the order of operations, evaluate by working from left to right.(13)(-4.7)(-0.3)
A. -18.33 B. -1.833 C. 183.3 D. 18.33