and have the same length of base and the same length of altitude.If the area of is 25

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What will be an ideal response?

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12.5

Mathematics

If r(t) is the position vector of a particle in the plane at time t, find the indicated vector.Find the acceleration vector.r(t) = (cos 2t)i + (5 sin t)j

A. a = (-4 cos 2t)i + (-5 sin t)j B. a = (-2 cos 2t)i + (5 sin t)j C. a = (-4 cos 2t)i + (-25 sin t)j D. a = (4 cos 2t)i + (-5 sin t)j

Find the domain and range of the function.f(x) = 

A. D: [0,?), R: 
B. D: [0,?), R: (-?,?)
C. D: (-?,?), R: 
D. D: (-?,0], R:(-?,0]

An object moves in simple harmonic motion described by the given equation, where t is measured in seconds and d in meters . Find the maximum displacement, the frequency, and the time required for one cycle.d = 6 sin 3t meters

A. displacement = 6 meters; period =  seconds; f =  ? oscillations/second
B. displacement = -6 meters; period =  ? seconds; f =  oscillations/second
C. displacement = 6 meters; period = 3 ? seconds; f =  oscillations/second
D. displacement = 6 meters; period =  ? seconds; f =  oscillations/second

Write the quotient in the form a + bi.

A. -2i B. -2 C. 2 D. 2i