Find a rectangular equation for the curve and describe the curve.x = 2t2, y = t + 4; -? < t < ?
A. y = 2(x - 4)2; parabola
B. x = 2(y + 4)2; parabola
C. x = 2(y - 4)2; parabola
D. y = 2(x + 4)2; parabola
Answer: C
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Use scientific notation to solve the problem.Assume that the volume of the earth is 5 x 1014 cubic meters and the volume of a bacterium is 2.5 x 10-16 cubic meters. If the earth could be filled with bacteria, how many would it contain?
A. 2.0 x 10-30 bacteria B. 5.0 x 1031 bacteria C. 2.0 x 1030 bacteria D. 5.0 x 10-31 bacteria
Find the center and graph the hyperbola.
- 
= 1
A. C(- 2, -1)
B. C(2, -1)
C. C(2, 1)
D. C(0, 0)
Calculate the arc length of the indicated portion of the curve r(t).Following the curve r(t) = 5ti + (12 cos t)j + (12 sin t)k in the direction of increasing of arc length, find the point that lies 104? units away from the point where 
A. (40?, 0, 0) B. (40?, 12, 0) C. (40?, 0, 12) D. (40, 12, 0)
Solve the system by substitution. If the system is inconsistent or dependent, say so.
A. (6, 5) B. (5, 0) C. (-5, -1) D. empty set solution; inconsistent system