Solve the problem.The relation between escape velocity, ve, and orbital velocity, vc, is described by the equation 
. If a spacecraft requires a velocity of 85,800 miles per hour in order to escape the gravitational pull of Planet A, what velocity is needed to travel in a circular orbit around Planet A? Round to the nearest hundredth.
A. 85,798.59 miles per hour
B. 121,339.52 miles per hour
C. 60,669.76 miles per hour
D. 414.25 miles per hour
Answer: C
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Graph the numbers on a number line.- 3
, - 
, 0, 
A. 
B. 
C. 
D. 
Find the vertices and the foci of the given ellipse.
+ 
= 1
A. V: (-5, 0), (5, 0); F: (-3, 0), (3, 0) B. V: (0, -5), (0, 5); F: (0, -4), (0, 4) C. V: (-5, 0), (5, 0); F: (-4, 0), (4, 0) D. V: (0, -5), (0, 5); F: (0, -3), (0, 3)
Evaluate the definite integral and interpret the result.
A. 10.25; the total shaded area is equal to 10.25 B. 10.25; the shaded area above the x-axis minus the shaded area below the x-axis is equal to 10.25. C. 12,206.25; the total shaded area is equal to 12,206.25. D. 12,206.25; the shaded area above the x-axis minus the shaded area below the x-axis is equal to 12,206.25.
Identify the base and the exponent for the exponential expression.-y10
A. Base is -y; exponent is 10. B. Base is 10; exponent is y. C. Base is y; exponent is 10. D. Base is 10; exponent is -y.