A piecewise function is given. Use the properties of limits to find the indicated limits, or state that the limit does not exist.f(x) = a. f(x)b. f(x)c. 

style="vertical-align: -21.0px;" />f(x)

A. a. -1
b. -4
c. does not exist
B. a. -1
b. -4
c. -4
C. a. -4
b. -1
c. does not exist
D. a. 24
b. 24
c. 24

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Answer: D

Mathematics

Solve the initial value problem. =  + , y(0) = -5

A. y = 2 tan^-1  + 7 sin^-1 x
B. y = 10 tan^-1 x - 7 sin^-1 x - 5
C. y = 10 cot^-1 x - 7 sin^-1 x
D. y = 2 tan^-1  + 7 sin^-1 x - 5

Simplify the expression. Express the answer so that all exponents are positive. Whenever an exponent is 0 or negative, we assume that the base is not 0.(6x3)-2 

A. 36x⁶
B.
C.
D.

Simplify the expression. Write your answer without negative exponents. Whenever an exponent is negative or zero, assume that the base is not zero.

A.
B.
C.
D.

The sequence is defined recursively. Write the first four terms.a1 = 5; an = 4an-1 - 5

A. a1 = 5, a2 = 15, a3 = 75, a4 = 315 B. a1 = 5, a2 = 20, a3 = 80, a4 = 320 C. a1 = 5, a2 = 25, a3 = 105, a4 = 425 D. a1 = 5, a2 = 15, a3 = 55, a4 = 215