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) = (4 cos t)i + (3 sin t)j

A. a = (4 cos t)i + (3 sin t)j
B. a  = (-4 sin t)i + (-3 cos t)j
C. a = (-4 cos t)i + (-3 sin t)j
D. a  = (4 sin t)i + (3 cos t)j


Answer: C

Mathematics

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Solve.A boat goes 560 miles downstream in the same time it can go 490 miles upstream. The speed of the current is 3 miles per hour. Find the speed of the boat in still water.

A. 105 mph B. 48 mph C. 42 mph D. 45 mph

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Use exponential notation to write the repeated multiplication.8 ? 8

A. 2 ? 8 B. 83 C. 28 D. 82

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Sketch the graph of the function  and evaluate , if it exists, for the given value of .

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A. ?

 

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C. ?

 

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E. ?

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Mathematics

Provide an appropriate response.Multiply and simplify: (x3 - 9)(x3 + 9)

What will be an ideal response?

Mathematics