Let A = 2 - i2, B = 3 + i 3, C = 3e pi/3, D = 4e pi/6. Then, (expressed in real

Question

Let A = 2 - i2, B = 3 + i 3, C = 3e pi/3, D = 4e pi/6. Then, (expressed in real and imaginary parts), A + B = _____ C + D = _____ AB= _____ CD = _____ Let A = 2 - i2, B = (x +4) + i(y-2). If A = B, then x = _____ y = _____ Let theta be a function of time, r is constant. Differentiate the functions below with respect to t. Let theta and r be functions of time. Differentiate the functions below with respect to t. A particle moves along a path described as R = rei theta. At r = 2 inch and theta = 90 degree, d theta/dt = 2 rad/sec, dr/dt = 3 in/sec, d2 theta/dt2 = 3 rad/sec2, d2r/dt2 = 10 in/sec2. Find the values of The following figure shows a link rotating about a fixed pivot. OA = r is a constant. theta is the orientation angle of OA. The position of point A can be expressed as R = r ei theta. Differentiate it to obtain the expression for the velocity and acceleration of point A. The angular velocity is 10 rad/sec and the angular acceleration is 100 rad/sec2. Both are in counterclockwise direction. r = 5 mm. Find at theta = 60 degree, for point A, The velocity is

Explanation / Answer

A = B... now compare real parts => 2 = x+4 => x = 2 -4 => x = -2

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