Solve the problem.The range R of a projectile is related to the initial velocity v and projection angle ? by the equation  where g is a constant. How is  related to  and  if neither v nor ? is constant?

A.  = 
B.  = 
C.  = 
D.  = 


Answer: D

Mathematics

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Evaluate the integral.

A.
B.
C.
D. - 

Mathematics

Solve the problem.If a satellite reaches a speed of 7.91 kilometers per second, it will attain a circular orbit. If a satellite is placed in an orbit of 370 kilometers above the Earth, what is the equation of the path of the satellite if the origin is placed at the center of the Earth (the diameter of the Earth is approximately 12,740 kilometers)?

A. x2 + y2 = 136,900 B. x2 + y2 = 45,427,600 C. x2 + y2 = 171,872,100 D. x2 + y2 = 40,576,900

Mathematics

Solve.x2 + y2 = 91 x = y2 - 1

A. (10, -), (10, ), (-9, -2i), (-9, 2i)
B. (-10, -i), (-10, i), (9, -2), (9, 2)
C. (-10, -3), (-10, 3), (9, -), (9, )
D. (-10, -3i), (-10, 3i), (9, -), (9, )

Mathematics

Solve the problem.Two elliptical pathways in a park intersect as shown below. If the equations of the ellipses that represent the outermost perimeter of the pathways are  and 4x2 + y2 = 2500, at which points do the pathways intersect? 

A. (-10, -10), (-10, 10)
B. (-10, 10), (10, 10)
C. (10, -10), (10, 10)
D. (-10, -10), (-10, 10), (10, -10), (10, 10)

Mathematics