(1 point) In this problem you will calculate the area between f(x) = x2 and the...
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...
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...
Let f(x) = x on the interval [1,2]. Let the interval be divided into two equal subintervals. Find the value of the Riemann sum endpoint of its subinterval / dx, if each X;" is the left
3. Find the sum of the areas of approximating rectangles for the area under f(x) = 48 - x?, between x = 1 and x = 5 using 4 subintervals and the right endpoints of each subinterval for sample points.
2. Write the limit of the Riemann sums as a definite integral. plz !!! Cancel 1. f(x) = x3 Find the Riemann sum for function f. -2 < x < 3 partitioned into 5 equal subintervals for which u; is the left endpoint of each subinterval. 9 1 • dx a. 성 - 1 b. Sutra ( + r + 6)dx - 3 2. C. { (-6x (-6x3 - 3x² + 2x)dx -2
3. Find the sum of the areas of approximating rectangles for the area under f(x) = 48 - x?, between x = 1 and x = 5 using 4 subintervals and the right endpoints of each subinterval for sample points. 31
4 Graph the function f(x) = cos x on the interval ( - 1,1], showing the addition of the rectangles associated with the Riemann sum Ef() 4x4 given that ck is the right endpoint of the kth subinterval. Choose the correct graph. O C. OA OB. 1 NA VN/ 2
Use finite approximation to estimate the area under the graph of f(x) =x2 and above the graph of f(x) = 0 from x0-0 to xn-14 using i) a lower sum with two rectangles of equal width. ii) a lower sum with four rectangles of equal width ili) an upper sum with two rectangles of equal width iv) an upper sum with four rectangles of equal width. The estimated area using a lower sum with two rectangles of equal width is...
5. (12 pts.) Consider the region bounded by f(x) 4-2x and the x-axis on interval [-1, 4] Follow the steps to state the right Riemann Sum of the function f with n equal-length subintervals on [-, 4] (5 pts.) a. Xk= f(xa) (Substitute x into f and simplify.) Complete the right Riemann Sum (do not evaluate or simplify): -2 b. (1 pt.) lim R calculates NET AREA or TOTAL AREA. (Circle your choice.) Using the graph, shade the region bounded...
(6) Evaluate the Riemann sum for f(x) = x2 + 2x – 1, 1 < x < 4 with six subintervals, taking the sample points to be right endpoints.