Simplify. Write your answer in the form a + bi, where a and b are real numbers.Let z = -5 + 5i and w = 5 + 2i. Find 2z + w.
A. -5 + 7i
B. -5 + 12i
C. -10 + 12i
D. -15 + 20i
Answer: B
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Determine the area of the surface generated when the curve is revolved about the indicated axis.x = 3
, for 0 ? y ? 
; about the y-axis
A. 5?
B. 
?
C. 
?
D. 
?
Find the value of a? so that the slope of the line joining points P(a, 6) and Q(4, 4) is equal to 4. ?
A. ?
B. ?
C. ?
D. ?12
E. ?
Find the general form of the equation of the the circle.Center at the point (-4, -2); tangent to x-axis
A. x2 + y2 + 8x + 4y + 24 = 0 B. x2 + y2 + 8x + 4y + 4 = 0 C. x2 + y2 + 8x + 4y + 16 = 0 D. x2 + y2 - 8x - 4y + 16 = 0
Find the vertex, the focus, and the directrix of the parabola.y = x2 + 12x + 37
A. V: (-6, 1); F 
; D: y = 
B. V: (-6, 1); F 
; D: y = 
C. V: (-6, 1); F 
; D: x = 
D. V: (-6, 1); F (-6, 2); D: y = 0