Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.log 
A. log (5x5) - log (7(x + 1)2)
B. log 5 + 5log x + log (1 - x) - log 7 + 2log (x + 1)
C. log 5 + 5log x + log (1 - x) - log 7 - 2log (x + 1)
D. log 5 + log x5 + log (1 - x)1/5 - log 7 - log (x + 1)2
Answer: C
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Use Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated direction.F = 3yi + yj + zk; C: the counterclockwise path around the boundary of the ellipse +
= 1
A. 36? B. 12? C. -36 D. -36?
Use the Trapezoidal Rule with n = 4 steps to estimate the integral.
A. -
B. -
C. -1 -
D. -
Find the domain and range of the inverse of the given function.f(x) = x3 - 2
A. Domain: [0, ?); range: [0, ?) B. Domain: [-2, ?); range: all real numbers C. Domain and range: all real numbers D. Domain: all real numbers; range: [-2, ?)
Simplify.
A.
B.
C.
D.