Find the general solution of the differential equation.
?

?
Solve for y as a function of x.
?

A.
B. ?
C. ?
D. ?
E. ?


Answer: B

Mathematics

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The position vector of a particle is r(t). Find the requested vector.The acceleration at t =  for r(t) = (7t - 4t3)i  + 2tan(3t)j + e5tk

A. a = - 2?i + 72j + 25e5/12?k
B. a = - 2?i - 72j + 25e5/12?k
C. a = - 2?i - 72j + 25k
D. a = 2?i + 72j + 25e5/12?k

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Solve the problem.Find the image of figure ABCD for the dilation with center P and scale factor 2.

A.

B.

C.

D.

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Solve the problem.A pendulum bob swings through an arc 40 inches long on its first swing. Each swing thereafter, it swings only 60% as far as on the previous swing. How far will it swing altogether before coming to a complete stop? Round to the nearest inch when necessary.

A. 100 in. B. 133 in. C. 50 in. D. 67 in.

Mathematics

Solve the problem.Ron throws a ball straight up with an initial velocity of 40 feet per second from a height of 5 feet. Find parametric equations that describe the motion of the ball as a function of time. How long is the ball in the air? When is the ball at its maximum height? What is the maximum height of the ball?

A. x = 0; y = -16t2 + 40t + 5; 4.736 sec; 1.25 sec; 184.439 feet B. x = 0; y = -16t2 + 40t + 5; 2.368 sec; 1.25 sec; 5.001 feet C. x = 0; y = -16t2 + 40t + 5; 2.619 sec; 1.25 sec; 30 feet D. x = 0; y = -16t2 + 40t + 5; 5.239 sec; 1.25 sec; 25 feet

Mathematics