Find a rectangular equation for the plane curve defined by the parametric equations.x = 2t - 1, y = t2 + 2; -4 ? t ? 4
A. y = x2 + 1; for x in -2 ? x ? 2
B. y = 
x2 + 1; for x in -6 ? x ? 4
C. y = 
x2 + 
x + 
; for x in -9 ? x ? 7
D. y = - 
x + 30; for x in -6 ? x ? 4
Answer: C
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Solve the problem.A space shuttle is in a circular orbit 250 km above the Earth's surface. Use Kepler's third law( with 
) to find the orbital period of the satellite.(G = 6.67 × 10-11 Nm2 kg-2, 
and Earth's radius is 
).
A. T = 1 hr B. T = 9 min C. T = 2 hr D. T = 90 min
Find the unit tangent vector of the given curve.r(t) = 
i + 
j - 5tk
A. T = 
i + 
j - 
k
B. T = 
i + 
j - 
k
C. T = 
i + 
j - 
k
D. T = 
i + 
j - 
k
Find the probability.A family has five children. The probability of having a girl is 1/2. What is the probability of having 3 girls followed by 2 boys?
A. 
B. 
C. 
D. 
Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the 
. y = 
, y = 0, x = 0, x = 7
A. 196?
B. 
?
C. 14?
D. 
?