Use DeMoivre's Theorem to find the indicated power of the following complex number. 
a. 32
b. 64
c.
d.
e. –64
b. 64
Mathematics
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Differentiate the function.r(t) = (cot t)i + (csc t)j
A. r'(t) = (-sec2 t)i - (tan t sec t)j B. r'(t) = (-csc2 t)i - (cot t csc t)j C. r'(t) = (sec2 t)i + (tan t sec t)j D. r'(t) = (csc2 t)i + (cot t csc t)j
Mathematics
Find the derivative.g(x) = 3x2e-x
A. 3xe-x(2 - x) B. 3xex(2 - x) C. 3xe-x(x + 2) D. 6xe-x(1 - x)
Mathematics
Determine whether the given equation is an identity.8x + 74 = 4(2x + 17)
A. Yes B. No
Mathematics
Find the exact value of the expression if ? = 30°. Do not use a calculator.f(?) = sin ?Find [f(?)]2.
A.
B. 1
C.
D.
Mathematics