Given the graph of the function f(x) below, use a right Riemann sum with 4 rectangles to approximate the area under the curve over the interval [1, 5]. 5 4 3 2 1 2 3 4 Give your answer rounded to the nearest tenth, if necessary. 1.
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Q: For the function given below, find a formula for the Riemann sum obtained by dividing the interval…
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- Riemann sum & excel Approximate the area of the region bounded by the graph of f defined by f(x) = 100 −x^2 and the x-axis on [0, 10] with 20 subintervals, using the midpoint Riemann sum. Use Microsoft Excel to calculate the midpoint Riemann sum. As attached, is that correct? Can I make a riemann sum graph on excel?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.Riemann sums from tables Estimate the area A under the graph of ƒ onthe interval [0, 2] using left and right Riemann sums with n = 4, where ƒ is continuous but known only at the points in Table shown
- Tea leaves are placed in a cup of hot water. Caffeine is infused into the water at a rate of 15 −(x2/14) milligrams per minute. After 6 minutes, the tea leaves are removed. (a) Estimate the amount of caffeine in the cup of water after the tea leaves are removed using a right Riemann sum with 3 subintervals.(a) Sketch the graph of the function on the given interval. Illustrate the midpoint Riemann sum by sketching the appropriate rectangles. Calculate the midpoint Riemann sum for n=4, being sure to show all work. Use a calculator to calculate the left Riemann sum for n=64. f(x)= 1-x^2 on [0,2] ; n=4 (b) For the previous function on the given interval, calculate the definite integral using the infinite limit of the Right Riemann Sum.riemann sum from 1 to 4 x^2+x
- 1. Approximate the area under f(x)=3x^2 +1 on [-5,0] using RIGHT Riemann sum with 5 approximating rectangles. 2. Approximate the area under f(x)=3x^2 +1 on [-5,0] using LEFT Riemann sum with 5 approximating rectangles. Can you please use sigma notations (example included)Evaluating left riemann sum from a tableTea leaves are placed in a cup of hot water. Caffeine is infused into the water at a rate of 15−x^3/14 milligrams per minute. After 6 minutes,the tea leaves are removed. (a)Estimate the amount of caffeine in the cup of water after the tea leaves are removed using a right Riemann sum with 3 subintervals. (b)Find the exact amount of caffeine in the cup of water after the tea leaves are removed
- (a) Find the Riemann sum for f(x) = sin x, 0<=x <= 3 pie/2 , with six terms, taking the sample points to be right end-points. (Give your answer correct to six decimal places.) Explain what the Riemann sum represents with the aidof a sketch.Use a calculator and right Riemann sums to approximate the area of the given region. Present your calculations in a table showing the approximations for n = 10, 30, 60, and 80 subintervals. Make a conjecture about the limitof Riemann sums as n→∞ .The region bounded by the graph of ƒ(x) = 3x2 + 1 and the x-axis on the interval [-1, 1].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?