over the interval (10 pts) 2) Approximate the area under the curve given by f(x) =...
A Riemann sum is used to approximate the area under the curve of f(x) = x2 + 2x + 10 on the interval (-1,8). If three equal subintervals and midpoints are used, what is the area of the second rectangle? (a) 39.25 (b) 87.75 (c) 54.25 (d) 135 (e) None of the above
Estimate the area of the region bounded by the graph of f(x)-x + 2 and the x-axis on [0,4] in the following ways a. Divide [0,4] into n = 4 subintervals and approximate the area of the region using a left Riemann sum. Illustrate the solution geometrically. b. Divide [0,4] into n = 4 subintervals and approximate the area of the region using a midpoint Riemann sum· illustrate the solution geometrically. C. Divide [04] into n = 4 subintervals and...
Part 2: Calculate the area under the curve. For the function given below, find a formula for the Riemann sum obtained by dividing the interval [a,b] into n equal subintervals and using the right-hand endpoint for each ck. Then take a limit of this sum as n-oo to calculate the area under the curve over [a,b] 10x+103 over the intervall -10 Find a formula for the Riemann sum.
10. Consider the function f(r) = 3r + 1 over the interval [O.31. into 3 equal subintervals and evaluating f at the right endpoints (this gives an upper sum). (a) Use finite sum to approximate the arca under the curve over |0. 3] by dividing (0.3 (b) Find a formula for the Riemann Sum obtained by dividing the interval (0.3] into n equal subintervals and using the right endpoints for cach . Then take the limit of the sum of...
5. Consider the area under the curve f(x)-on the interval [1.4), (a) Sketch the curve and identify the area of interest. (b) Approximate the area using a right-hand Riemann sum with three rectangles. (c) Find the exact area under the curve. We were unable to transcribe this image 5. Consider the area under the curve f(x)-on the interval [1.4), (a) Sketch the curve and identify the area of interest. (b) Approximate the area using a right-hand Riemann sum with three...
Please answer with work Graph the function f(x) over the given interval. Partition the interval into 4 subintervals of equal length. Then add to 4 your sketch the rectangles associated with the Riemann sum f(ck) Axk, using the indicated point in the kth k=1 subinterval for ck. Then approximate the area using these rectangles. 20) f(x) = cos x + 4, [0, 2TT), right-hand endpoint a) Graph: 2 7 22 b) What is the right Riemann sum from 0 to...
Approximate the area under the graph of f(x) over the specified interval by dividing the interval in number of subintervals and using the left endpoint of each subinterval. 20) f(x) = x2+2; interval [0,5); 5 subintervals A) 66 B) 40 C) 65 201 D) 32 Printed by Ana Dallallallalia mail done e
Use a Riemann sum to approximate the area under the graph of f(x) = x2 on the interval 25x54 using n = 5 subintervals with the selected points as the left end points. The area is approximately (Type an integer or a decimal.)
1) For the function below, approximate the area under the curve on the specified interval as directed. f(x) on [0, 6] with 3 subintervals of equal width and right endpoints for sample points = 7e -72 We were unable to transcribe this image
Approximate the area under the graph of f()=0.037 -2892 +98 over the interval [5.9] by dividing the interval into 4 subintervals. Use the left endpoint of each subinterval The area under the graph of fix) = 0.037 -28972 +98 over the interval [5.9 is approximately I (Simplify your answer. Type an integer or a decimal Approximate the area under the graph of f(x)=0.03** -2.89x2.98 over the interval 15.9| by dividing the interval into 4 subintervals. Use the left endpoint of...