Use DeMoivre's Theorem to find the indicated power of the complex number. Write the answer in rectangular form.(-
+ i)6
A. 64i
B. -64
+ 64i
C. -64
D. 64 - 64
i
Answer: C
Mathematics
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Evaluate the integral. 
A. -2sin-1
- x2
+ C
B. 4 sin-1
- 
+ C
C. 4 sin-1
- x
+ C
D. 
- 2 ln
+ C
Mathematics
Express the integrand as a sum of partial fractions and evaluate the integral.
dx
A. ln 
+ 
ln 
+ tan-1 
+ C
B. 4 ln 
- 
ln 
- tan-1 x + C
C. 4 ln 
+ 
ln 
+ 
tan-1 
+ C
D. 4 ln 
+ 
ln 
+ sin-1 
+ C
Mathematics
Solve.A 53-kg skateboarder on a 3-kg board starts coasting on level ground at 8 m/sec. Let k = 3.2 kg/sec. How long will it take the skater's speed to drop to 2 m/sec?
A. 24.26 sec B. 1.30 sec C. 22.96 sec D. -24.26 sec
Mathematics
Factor the binomial completely. If it is prime, say so.x4 - 256
A. (x2 - 16)(x + 4)(x - 4) B. (x2 + 16)(x + 4)(x - 4) C. (x + 4)2(x - 4)2 D. Prime
Mathematics