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?/dXL for constant XC and R.

A.
B.
C.
D.


Answer: A

Mathematics

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Replace the Cartesian equation with an equivalent polar equation.x2 + (y - 14)2 = 196

A. r2 = 28 cos ? B. r = 28 sin ? C. r = 14 sin ? D. r = 28 cos ?

Mathematics

Solve the problem.A local television station sends out questionnaires to determine if viewers would rather see a documentary, an interview show, or reruns of a game show. There were 450 responses with the following results:135 were interested in an interview show and a documentary, but not reruns.18 were interested in an interview show and reruns but not a documentary.63 were interested in reruns but not an interview show.108 were interested in an interview show but not a documentary.45 were interested in a documentary and reruns.27 were interested in an interview show and reruns.36 were interested in none of the three.How many are interested in exactly one kind of show?

A. 226 B. 216 C. 206 D. 196

Mathematics

Provide an appropriate response. Find the distance from A to B on the surveyed plot shown in the figure.

A. 187.1 ft B. 571.5 ft C. 568.7 ft D. 85.94 ft

Mathematics

Let x be a number. Translate the expression into an English phrase. 49 ÷ x

A. Divide a number by 49. B. The quotient of a number and 49 C. The quotient of 49 and a number D. The ratio of a number to 49

Mathematics