A particle moves along a line with a velocity v(t) = -2t+4, measured in meters per second. Find the total distance the particle travels from t=0 seconds to t = 3 seconds. Enter an exact answer. Provide your answer below: meters

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A: Here we will find the slope of given line,

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A: We can find the tangent equation at the given point as below.

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A: A linear system is said to be homogeneous if all the constant terms are zero.

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A: Please see the below picture for detailed solution.

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A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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A: topic- indefinite integral 2sinθcos(θ)=sin(2θ)sin2(θ)=1-cos(2θ)2

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