Find the inverse of the following one-to-one function.f(x) = 7x - 4
A. f-1(x) =
B. f-1(x) = + 4
C. f-1(x) =
D. Not invertible
Answer: C
Mathematics
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Find the first few nonzero terms of the Maclaurin series for the given function.f(x) = sin2 x
A. x2 - 2x4 + x6 - . . .
B. x2 - x4 +
x6 - . . .
C. x2 + x4 +
x6 - . . .
D. x2 + 8x4 + 32x6 - . . .
Mathematics
Solve the problem.Calculate , where R ={(x, y): 0 ? x ? 1, 0 ? y ? 1}. (Hint: This integral represents the volume of a certain solid. Calculuate its volume from elementary principles.)
A. 7.5 B. 6.5 C. 7 D. 14
Mathematics
Perform the indicated operation and simplify. +
A.
B.
C. -
D.
Mathematics
Write the fraction in simplest form. Assume that all variable factors in the denominator are not equal to zero.-
A. -1
B. -
C. -
D. -
Mathematics