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MI 4 Complex Quiz Name __________________________ You may use a TI-30 calculator on this exam. 1. Let a 2cis40 and b cis(50) . Find the following. State your answers in polar form. a) a 3 b) a 4 ·b 4 a3 c) 2 b 2. One of the solutions to the equation z 2 6 z 25 0 is 3 4i . With this information, graph all of the roots of z 2 6 z 25 0 on the grid below. 3. Find a complex number that you can multiply z with so that z gets rotated 60 degrees clockwise, if z 2 cis(20 ) . Give your answer in rectangular form. MI 4 Complex Quiz 4. Solve for z: 1 i z z 2i 2i 5. Solve the equation z 5 16 16 3i . Leave your answers in cis form.