The rectangles in the graph below illustrate a right endpoint Riemann sum for f(æ) = (13/æ) on the interval [2, 6]. The value of this right endpoint Riemann sum is , and this Riemann sum is an underestimate of the area of the region enclosed by y = f(x), the x-axis, an the vertical lines x = 2 and x = 6. 3 2 1 7. Right endpoint Riemann sum for y = (13/x) on [2, 6]
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- Consider the function f(x) = 4x2 −x3. Provide the graph of the region bounded by f(x) and the x-axis over the interval [0, 4]. Which type of Riemann sum (left or right) gives a better estimate for the area of this region? Use n=5 intervals to find the left and right endport Riemann Sum. Please provide all of your work. Justify your answer. You may use the graphing calculator to facilitate the calculation of the Riemann sum, or the webtool. Use four decimal places in all your calculations.Using the left-endpoint Riemann sum with 4 equal subintervals, estimate the area of the region bounded above by the curve f(x) = ex + e-x and below by the x-axis, on the interval [−1, 3]. Provide answer with three decimal places.Using the left-endpoint Riemann sum with 4 equal subintervals, estimate the area of the region bounded above by the curve f(x) =e^x+e^−x and below by the x-axis, on the interval [−1,3]. Give answer correct to three decimal places.
- Left and right Riemann sums Let R be the region bounded by the graphthe x-axis between x = 4 and x = 16.with ƒ(x) = 1/x, does the left Riemannsum or the right Riemann sum overestimate the area under the curve?Let R be the region bounded by the graph of ƒ(x) = 3√x and the x-axis between x = 4 and x = 16. Approximate the area of R using a midpoint Riemann sum with n = 6 subintervals. Illustrate the sum with the appropriate rectangles.Consider the function f(x) = 4x2 −x3. Provide the graph of the region bounded by f(x) and the x-axis over the interval [0, 4]. Which type of Riemann sum (left or right) gives a better estimate for the area of this region? may use the graphing calculator to facilitate the calculation of the Riemann sum
- Estimate the area of the region bound by the graph of f(x) = x^2 + 3x and the x-axis on [2,5] using a right-endpoint Riemann sum with n = 50 rectangles.Use a Riemann sum with 3 subdivisions and right-hand endpoints to find an approximation for the area under the curve y=ln(x^2+1) and above the x-axis from x=1 to x=7. Round to three decimal places THIS TWO PLEASE The Riemann sum approximation with 3 subdivisions and using the right endpoints is A. Equal to exact area B. Smaller than exact area C. Greater than exact areaEstimate the area under the graph of the function f(x)=1/x+3 from x=0 to x=4 using a Riemann sum with n=10 sub intervals and right endpoints Estimate the area under the graph of the function f(x)=1/x+3 from x=0 to x=4 using a Riemann sum with n=10 sub intervals and left endpoints
- (a) Estimate the area under the graph of the function f(x)=1/x+4 from x=0 to x=1 using a Riemann sum with n=10 subintervals and right endpoints. Round your answer to four decimal places. area = (b) Estimate the area under the graph of the function f(x)=1/x+4 from x=0 to x=1 using a Riemann sum with n=10 subintervals and left endpoints. Round your answer to four decimal places. area =(a) Estimate the area under the graph of the function f(x)=1/(x+6) from x=0 to x=3 using a Riemann sum with n=10 subintervals and right endpoints. Round your answer to four decimal places. (b) Estimate the area under the graph of the function f(x)=1/(x+6) from x=0 to x=3 using a Riemann sum with n=10 subintervals and left endpoints. Round your answer to four decimal places.Using a Riemann sum with right endpoints and n=4 subintervals, estimate the area under the graph of f(x)=sin(x) from x=0 to x=pi