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categoryرياضيات schoolبكالوريوس event_available2026-07-15

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-1 points TanApCalc9 6.3.013. Find an approximation of the area of the region R under the graph of the function f on the interval [0,2]. Use n = 5 subintervals. Choose the representative points to be the midpoints of the subintervals. f(x) = x²+9 Need Help? square units Read It Chat About It -1 points TanApCalc9 6.3.014. Find an approximation of the area of the region R under the graph of the function f on the interval [-1, 2]. Use n = 6 subintervals. Choose the representative points to be the left endpoints of the subintervals. f(x)=7-x² Need Help? square units Read It Chat About It 5. -1 points TanApCalc9 6.3.015. Find an approximation of the area of the region R under the graph of the function f on the interval [1, 3]. Use n = 4 subintervals. Choose the representative points to be the right endpoints of the subintervals. f(x)= Need Help? square units Read It Watch It Chat About It 6. 0-1 points TanApCalc9 6.3.016. Find an approximation of the area of the region R under the graph of the function f on the interval [0,3]. Use n = 5 subintervals. Choose the representative points to be the midpoints of the subintervals. (Round your answer to one decimal place.) f(x) = 5ex Need Help? square units Read It Chat About It -1 points TanApCalc9 6.3.006. Let f(x) 6 -2x. (a) Sketch the region R under the graph of f on the interval [0,3]. Find its exact area using geometry. square units (b) Use a Riemann sum with five subintervals of equal length (n = 5) to approximate the area of R. Choose the representative points to be the right endpoints of the subintervals. square units (c) Repeat part (b) with ten subintervals of equal length (n = 10). square units (d) Compare the approximations obtained in parts (b) and (c) with the exact area found in part (a). Do the approximations improve with larger n? Yes No

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