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The rate of change of profit for a company is given by p(t) = 362 e-0.2t thousand dollars per year, t years since 2000,

 

The rate of change of profit for a company is given by p(t) = 362 e-0.2t thousand dollars per year, t years since 2000, 0sts 8. Check: p(2)=242.655856664901 p(t) thousand dollars per year 0 1 2 3 4 5 6 7 8 t years since 2000 We wish to estimate the area trapped between p(t) and the t-axis from t = 0 tot 8 using two right rectangles of equal width. (a) Complete the sigma notation for the area estimation described above by providing the width of each rectangle and the input values used to calculate the height of each rectangle. Area = p(t)At= At [p(t1)+p(t2)] where 1-1 At= t = 12- (b) Complete the calculation for the rectangle area estimation described above. Round your answer to 3 decimal places. Area = p(t)At= 1=1

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