Simplify the complex fraction.
?
?
A. 
B. 
C. 
D. 
E. 
Answer: D
Mathematics
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Find the unit tangent vector T and the principal unit normal vector N. r(t) = (t2 - 8)i + (2t - 8)j + 7k
A. T = 
i + 
j; N = 
i + 
j
B. T = 
i + 
j; N = 
i - 
j
C. T = 
i - 
j; N = - 
i - 
j
D. T = 
i + 
j; N = 
i - 
j
Mathematics
Evaluate the integral.
A. ln
- ln 
+ C
B. 
ln
- 
ln
+ C
C. 
ln
- 
ln 
+ C
D. 
ln
+ 
ln
+ C
Mathematics
Find the vertices and foci of the ellipse.
+ 
= 1
A. Vertices: (0, ±10); Foci: (0, ±6) B. Vertices: (0, ±10); Foci: (0, ±8) C. Vertices: (±6, 0); Foci: ( ±8, 0) D. Vertices: (±10, 0); Foci: ( ±6, 0)
Mathematics
Multiply. Write the result in the form a + bi.(4 - 7i)(8 - 2i)
A. 14i2 - 64i + 32 B. 18 + 64i C. 18 - 64i D. 46 - 48i
Mathematics