Question

1. The rate at which the value, V, of a painting changes, months after it is completed, is given by the function RV) If RV(1)-100 dollars/year, what is the net change in the value of the painting from -0 to 10 years? Why is this problem so easy? b. If RV(1) 6r4 +10 dollars/year, what is the net change in the value of the painting from -1 to -4 years? Why is this problem so "easy"? If RV(t) = t. 2, dollars/year, give an estimate of the net change in the painting's value from t = 1 to t = 5 years by using the L, Riemann Sum ii. L. Riemann Sum iii. R. Riemann Sum iv. M.Riemann Sum d. Draw the graph of RVand the approximating rectangles corresponding to the terms of the R. Riemann Sum. Does the R, Riemann Sum give an over- or an underestimate of the exact net change in the painting's value? e. 42*-1 Estimate dx using L. Is the estimate that you get an over- or underestimate of the definite integral? Briefly explain.

Answer 1

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