Use DeMoivre's Theorem to find the following. Write your answer in standard form.
?
?
?
A. ?-8 - 8?i?
B. ?18i111111
C. ?-?16 - 16i
D. ?116 + 16i?1
E. ?81111?1
Answer: D
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Solve the problem.Write parametric equations for the tangent line to the curve of intersection of the surfaces and
at the point
A.
B.
C.
D.
Express the radical in simplest form, rationalize denominators, and perform the indicated operations. -
+
A. 3
B. -3
C. 8
D.
Solve the problem. Round your answer, if appropriate.As the zoom lens in a camera moves in and out, the size of the rectangular image changes. Assume that the current image is 6 cm × 5 cm. Find the rate at which the area of the image is changing (dA/df) if the length of the image is changing at 0.8 cm/s and the width of the image is changing at 0.1 cm/s.
A. 10.6 cm2/sec B. 9.2 cm2/sec C. 5.3 cm2/sec D. 4.6 cm2/sec
Find the measure of the dihedral angle indicated.The figure shown is a right prism whose bases are regular triangles. Find the measure of the dihedral angle between adjacent lateral faces.
A. 120° B. 90° C. 45° D. 60°