The equation of motion of a particle is s = t³ - 27t, where s is measured in meters and t is in seconds. (Assume t > 0.) (a) Find the velocity and acceleration as functions of t.

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A: -2, 7π5=-2cos7π5, -2sin7π5π+2π5=7π5=2 cos2π5, 2cos2π5  [FIRST Quadrant]A)-2 cos3π5,…

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A: This question can be solved using the concept of points of inflection.

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A: Solve the given

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A: This question is based on length of a parametric curve calculated using definite integral.

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A: This integration can also be found from area under the curve .

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A: Let's find.

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A: Volume of cylinder(V)=πr2hSubstitute r=5V=π52hV=25πhDifferentiate w.r.t 't'

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A: To solve the following initial value problems by the separation of variables.a y'=1+y2, y0=1b…

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A: We can answer the question as below.

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A: Consider the following revenue function, where R(x) is measured in dollars. R(x)=110x-0.1x^2 a. Use…

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A: as points are already find π6,2.70    π3,-0.80    π2,-2.08  3π4,0.77                      π,5…

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A: To find the maximum value of the function.

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