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

Mathematics

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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

Mathematics

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, ?)

Mathematics

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

Mathematics

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

Mathematics