tm11 - MAC 1114 Module Test 11 Name MULTIPLE CHOICE Choose...

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MAC 1114 Module Test 11 Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Convert to trigonometric form and find the quotient. Write your answer in rectangular form. 1) 3i - 1 - i 3 A) 3 4 - 3 3 4 i B) - 3 4 - 3 3 4 i C) - 3 3 4 - 3 4 i D) - 3 3 4 + 3 4 i Find the following quotient, and write the quotient in rectangular form, using exact values. 2) 20 cis 336° 5 cis 66° A) - 4i B) - 4 C) - 2 3 + 2i D) - 2i Find the product. Write the product in rectangular form, using exact values. 3) [7(cos 30° + i sin 30°)] [2(cos 90° + i sin 90°)] A) 2 6 - 2 i B) 7 - 28 3 i C) - 7 + 7 3 i D) - 14 - 14 3 i Solve the problem. 4) The current I in a circuit with voltage E, resistance R, capacitive reactance X c and inductive reactance X L is I = E R + (X L - X C ) i Find I if E = 2 2 (cos 45° + i sin 45° ), R = 3, X L = 3, and X C = 1. Give your answer in rectangular form. A) 10 13 + 2 13 i B) 10 13 + 10 13 i C) 2 13 + 10 13 i D) 2 13 + 2 13 i Use a calculator to perform the indicated operation. Give your answer in rectangular form. Round answers to the nearest hundredth if necessary.
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