Solve the problem.When an alternating current passes through a series RLC circuit, the voltage and current are out of phase by angle ?. Here ? = tan-1[(XL - XC)/R], where XL and XC are the reactances of the inductor and capacitor, respectively, and R is the resistance. Find d?/dR for constant XL and XC.

A.
B.
C.
D.


Answer: C

Mathematics

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Change to a percent.

A. 9%
B. 1%
C. 10%
D. 93%

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Graph the inequality.-3x - 4y ? 12

A.

B.

C.

D.

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Use the summation properties to evaluate the series. The following rules may be needed:      

A. 57 B. 51 C. 39 D. 63

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For the pair of functions, find the indicated sum, difference, product, or quotient.F(x) = x2 + 1 and G(x) = 3x - 5.Find (F ? G)(x).

A. 3x3  - 5 B. 3x3 + 3x2 - 5x  - 5 C. 3x2 + 3x  - 5 D. 3x3 - 5x2 + 3x  - 5

Mathematics