Convert the first rational expression into an equivalent one that has the indicated denominator.
, 
A.
B.
C.
D.
Answer: C
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Find the limit.
A.
B.
C. 15
D. No limit
Use power series operations to find the Taylor series at x = 0 for the given function.f(x) = x6 sin x
A.
B.
C.
D.
Evaluate the function for the given values of a and b. Then use the intermediate value theorem to determine which of the statements below is true.a = -2 and b = -1f(x) = 9x3 - 8x + 3
A. f(-2) and f(-1) have the same sign, therefore f does not have a real zero between -2 and -1. B. f(-2) and f(-1) have the same sign, therefore the intermediate value theorem cannot be used to determine whether f has a real zero between -2 and -1. C. f(-2) and f(-1) have opposite signs, therefore f does not have a real zero between -2 and -1. D. f(-2) and f(-1) have opposite signs, therefore f has a real zero between -2 and -1.
Divide. Write the answer in lowest terms and as a whole or mixed number where possible. ÷ 5
A.
B. 58
C. 2
D. 7