Find the mass of the wire that lies along the curve r and has density ?.r(t) = (7 cos t)i + (7 sin t)j + 7tk, 0 ? t ? 2?; ? = 2
A. 196?
units
B. 28?
units
C. 4? units
D. 14?
units
Answer: B
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Integrate the function.
dx
A. 
(x2 + 6)3/2 - 
+ C
B. 
- 
+ C
C. 
(x2 + 6)3/2 + tan-1 
+ C
D. 
(x2 + 6)3/2 - 6
+ C
Calculate the area of the surface S. S is the portion of the cone 
+ 
= 
that lies between z = 3 and z = 4.
A. 
?
B. 
C. 
?
D. 
?
Use transformations to graph the function. Determine the domain, range, and the equation of the horizontal asymptote of the function.f(x) = 2(x - 1)
A. domain: (-?, ?); range:(-?, 0)
horizontal asymptote: y = 0
B. domain: (-?, ?); range:(-?, 0)
horizontal asymptote: y = 0
C. domain: (-?, ?); range:(0, ?)
horizontal asymptote: y = 0
D. domain: (-?, ?); range:(0, ?)
horizontal asymptote: y = 0
Find the vertex of the parabola, and determine whether the parabola opens upward, downward, to the left, or to the right.y = -(x - 1)2 - 1
A. (1, -1), down B. (0, -1), up C. (-1, 0), up D. (1, 1), down