Provide an appropriate response.Find a polar equation for the parametric equations.x = f1( ?), y = f2( ?)

A. r = 
B. y = x tan ?
C. x2 + y2 = [ f1( ?) ]2 + [ f2( ?) ]2
D. r = [ f1( ?) ]2 + [ f2( ?) ]2


Answer: A

Mathematics

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Solve the problem. Unless stated otherwise, assume that the projectile flight is ideal, that the launch angle is measured from the horizontal, and that the projectile is launched from the origin over a horizontal surfaceA baseball is hit when it is 3.4 ft above the ground. It leaves the bat with an initial velocity of  at a launch angle of 25°. At the instant the ball is hit, an instantaneous gust of wind blows against the ball, adding a component of -10.9i (ft/sec) to the ball's initial velocity. Find a vector equation for the path of the baseball.

A. r = (132 cos 25° - 10.9)ti + (3.4 + (132 sin 25°)t + 16t2j B. r = (132 cos 25° - 10.9)ti + (3.4 + (132 sin 25°)t - 16t2)j C. r = ((132 cos 25°)t - 10.9)i + (3.4 + (132 sin 25°)t - 16t2)j D. r = (132 sin 25° - 10.9)ti + (3.4 + (132 cos 25°)t - 16t2)j

Mathematics

Suppose you purchase a home and obtain a 10-year loan of $150,000 at an annual interest rate of 6.5%. Find the amount of interest that will be paid on the loan over the 10 years. Round your answer to the nearest cent.

a.  $54,386.36 b.  $204,386.36 c.  $97,500.00 d.  $131,570.62 e.  $136,827.56

Mathematics

Change the logarithmic expression to an equivalent expression involving an exponent.logb 49 = 

A. 492/3 = b
B. b3/2 = 49
C. b2/3= 49
D. b = 49

Mathematics

Find the limit algebraically. (x2 + 4x + 1)

A. 31 B. 1 C. 33 D. -1

Mathematics