Write an expression for the position function

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A particle moves along the x-axis that at any time t, 0<=t<=5, its velocity is given by v(t)=sin(t)+e^-t. Went t=0, the particle is at the origin.

(a) Write an expression for the position function, x(t), of the particle at any time t, 0<=t<=5.

(b) What are all values of t for which the particle is at rest?

(c) For 0<=t<=5, find the average value of the position function determined in part (a).

(d) Find the total distance traveled by the particle from t=0 to t=5.

Reference no: EM13178660

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