Use the linear approximation (1 + x)k ? 1 + kx, as specified.Find an approximation for the function f(x) = (1 - x)6 for values of x near zero.

A. f(x) ? 6 + 6x
B. f(x) ? 1 - 6x
C. f(x) ? 1 + 7x
D. f(x) ? 1 + 6x


Answer: B

Mathematics

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Simplify by factoring. Assume that any variable in a radicand represents a positive real number.

A.
B. (x + y)
C. (x + y)
D. (x + y)

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Pulsar manufactures a series of 19-in. color television sets. The quantity x of these sets demanded each week is related to the wholesale unit price p by the equation . The weekly total cost incurred by Pulsar for producing x sets is

variablename="impvar_db609fe4ca1347f8ba4475336" /> dollars. Compute , .


A.
B. ?
C. ?
D. ?
E. ?

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Mathematics