Show clearly your steps answering requests below and upload a single file. (3 points each) (1)Use a Riemann sum to estimate the area under the curve of the function f(x) = x2 - 6x + 10 between x = 0 and x = 8 using the midpoint rule with n= 2 subintervals. State the midpoints and other values that are used, and the answer. (2) Graph the above f (x) between x = 0 and x = 8, show the...
12. Let R ((x, y)l0 s r s 4,0 s y s 6). Let f(x, y)2+2y Express the Riemann sum estimate for Jjf(x, y)dA with m 2,n 3 using both summation notation and expanded sum form if the sample points are the upper right corners of each sub-rectangle. Do not evaluate.
12. Let R ((x, y)l0 s r s 4,0 s y s 6). Let f(x, y)2+2y Express the Riemann sum estimate for Jjf(x, y)dA with m 2,n 3 using...
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...
answer 1-4
6.3.14 Compute the area of the shaded region that is shown in the graph below. The area of the shaded region is (Simplify your answer.) a y = - 2x - 1)(x-6) Q ni core: 0 of 1 pt 1.3.11 Fill in both of the answer boxes to complete the integral Set up the definite integral that gives the area of the shaded region of the graph below. Do not evaluate the integral JO Question Use a Riemann...
(1 point) The following sum 5n n TI is a right Riemann sum for a certain definite integral f(x) dz using a partition of the interval [1, b] into n subintervals of equal length. Then the upper limit of integration must be: b6 and the integrand must be the function f(a)
(1 point) The following sum 5n n TI is a right Riemann sum for a certain definite integral f(x) dz using a partition of the interval [1, b] into...
. 110 pts] Th R -[0,4] x [0,4] e table below gives the values of a function f(x,) on the square region 234 2 42 24-3 You have to approximate |f(x, y) dA using double Riemann sums (a) What is the smallest AA- ArAy you can use for a double Riemann sum given the table above? (b) Sketch R showing the subdivisions you found in part (a) (c) Give upper and lower estimates of f(x, y) dA using double Riemann...
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...
(1 point) In this problem you will calculate the area between f(x) = x2 and the x-axis over the interval [3,12] using a limit of right-endpoint Riemann sums: Area = lim ( f(xxAx bir (3 forwar). Express the following quantities in terms of n, the number of rectangles in the Riemann sum, and k, the index for the rectangles in the Riemann sum. a. We start by subdividing [3, 12) into n equal width subintervals [x0, x1], [x1, x2),..., [Xn-1,...
by
middle Riemann sum please~ not right and left ~Thank you
4-2 on the interval [-1,2], and approximate [12] 1. (a) Sketch the graph of f(x) the area between the graph and the z-axis on [-1,2] by the left Riemann sum Ls using partitioning of the interval into 3 subintervals of equal length. b) For the same f(z) 4-12, write in sigma notation the formula for the left Riemann sum Ln with partitioning of the interval [-1,2 into n subintervals...
Compute the Riemann sum S for the double integral Sla (3x - 6) dA where R = [1,4] [1, 3), for the grid and sample points shown in figure below. S 3 2 . 1 1 2 3 4 Match the functions below with their graphs (A)-(F). (A) (B) (D) (E) (F) (a) f(x,y) - 1x1 + ly! OA B O