Find IT in the circuit below if IR = 3 mA and IC = 4 mA. Express your answer in both rectangular and polar form.


IT = 5/-53è mA (Polar)
IT = 3 mA - j4 mA (Rectangular)

Mathematics

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Evaluate the integral.

A. - 3 B. 45 C. 6 D. 3

Mathematics

Find all the second order partial derivatives of the given function.f(x, y) = cos xy2

A. fxx(x, y) = y2 sin xy2; fyy(x, y) = 2[2y2 cos (xy2) - sin (xy2)] ; fyx(x, y) = fxy(x, y) = 2y[y2 cos (xy2) - sin (xy2)]
B. fxx(x, y) = -y4 cos xy2; fyy(x, y) = - 2x[2xy2 cos (xy2) + sin (xy2)]; fyx(x, y) = fxy(x, y) = - 2y[xy2 cos (xy2) + sin (xy2)];
C. fxx(x, y) = - y2 sin xy2; fyy(x, y) = 2[ sin (xy2)- 2y2 cos (xy2)] ; fyx(x, y) = fxy(x, y) = 2y [sin (xy2)-y2 cos (xy2)]
D. fxx(x, y) = - y2 sin xy2; fyy(x, y) = 2y; fyx(x, y) = fxy(x, y) = 2

Mathematics

Write the fraction in lowest terms.

A.
B.
C.
D.

Mathematics

Simplify the expression. Write the answer using positive exponents.

A. x16y
B. - 
C. x16y2
D. - 

Mathematics