Evaluate i^(96).

Simplify i^(39).

What is –i^i?

Compute log (3 – 2i).

Evaluate (1 + i) to the exponent (1 - i).

The value of 5i is equal to,

Solve the equation (x^2y – 2) + (x + 2xy – 5) i = 0.

Find all values of z for which e^3z = 1.

Find all values of z for e^(4z) = i.

Simplify i^247.

If zl = 1- i, z2 = -2 + 4i and z3 = sq.rt of 3 - 2i, evaluate Re (2z1^3 + 3z2^2 - 5z3^2)

Find all values of 1^sq.rt of 2.

Find log (3 + j4).

Evaluate the Laplace transform of cos 2kt.

Find the value of k if A = [3, -2] and B = [1, k] are parallel.

Evaluate the integral of (4x/(x^2 + 4)dx from x = 1 to x = 7 by Simpson's Rule with n = 6.

Using Newton's method of approximation, find to 3 decimals the abscissa of the point of intersection of y = cos x and 2y = 2x + 1.

Find a0 for the equivalent Fourier series of x^2 over the interval –π to π.

Evaluate the limit of (z^2 + 1) / (z^6 + 1) as z approaches i.

Find the Eigen values of the 2 x 2 matrix with elements at row 1 of 3 and 2 and at row 2 of 5 and 0.

Find the Laplace transform of f(t) = e^(3t+1)

Find the Laplace transform of f(t) = t^(3/2) e^(-4t).

Evaluate Г(5/2)

What is the coefficient of the x^3 in the Taylor series polynomial for 1/(1+2x) about x = 0?

Find the LT for f(x) = 2 when 0<x<3 f(x) = x when x>3.

Find all values of Re {(-i)^(-i)}

Evaluate LT of F(x) = x, 0 ≤ t ≤ 2 and f(x) e^x, t > 2.

Express -3 + 4i in polar form.

Express -3 - 4i in polar form.

Evaluate the LT of e^x x^2.