Use the following function and its graph to answer the questions below 10 105 x < 12 The approximate area between the curve and the x-axis between x 3 and x-6 using the midpoints of 3 rectangles....
Use the rectangles to approximate the area of the region. f(x) = -x + 11 [1, 11] y 10 8 6 2 2 4 6 8 10 10 Х Give the exact area obtained using a definite integral. 10 x Need Help? Read it Watch It Talk to a Tutor Use the rectangles to approximate the area of the region. (Round your answer to three decimal places.) f(x) = 25 – x2, (-5,5) y 23 20 15 10 -6 2...
e (10 pts.) Approximate the area between the curve f(x) and x 3, by the following methods: and the x-axis, between x 0 a. Using 6 rectangles (n 6), and the Midpoint Rule. b. Using 6 rectangles, and left endpoints. c. Using 6 rectangles, and right endpoints. d. Find the average of your answers for parts (b) and (c). e. Compute the percent error for you answers in parts (a) and (d), using the following: - exact answer I calculated...
f(x) = 3/x+4, from x = 1 to x = 9 Approximate the area under the graph of f(x) and above the X-axis with rectangles, using the following methods with n=4. (a) Use left endpoints. (b) Use right endpoints. (c) Average the answers in parts (a) and (b) (d) Use midpoints. The area, approximated using the left endpoints, is _______ (Round to two decimal places as needed.)
Approximate the area under a curve using left-endpoint approximation Question Given the graph of the function f(a) below, use a left Riemann sum with 4 rectangles to approximate the integral So f(x) dr. 00 7 6 5 4 3 N 1 2 3 Select the correct answer below: BI Ne
Approximate the area under the following curve and above the x-axis on the given interval, using rectangles whose height is the value of the function at the left side of the rectangle (a) Use two rectangles. (b) Use four rectangles. (c) Use a graphing calculator (or other technology) and 40 rectangles. f(x)-2-x-1,1 (a) The approximated area when using two rectangles is square units (Type an integer or decimal rounded to two decimal places as needed.) (b) The approximated area when...
5) (Read the directions carefully!) For this problem, you will use rectangles to approximate the area between a curve and the x-axis. Approximate the area between the x-axis and the function f(x) = Vx+1 on the interval (1, 3) by partitioning the interval into four equal subintervals, and use the right-endpoint of each subinterval to find the height of the function for that rectangle. You may want to draw these rectangles in this graph. 5 4 3 2 -3 -2...
Consider the graph 12 10 6, 9) y-f(x 8 (2, 7) (4, 5) (0, 3) (8, 0) 10 (a) Using the indicated subintervals, approximate the shaded area by using lower sums s (rectangles that lie below the graph of f) (b) Using the indicated subintervals, approximate the shaded area by using upper sums S (rectangles that extend above the graph of f) +-14 points SullivanCalc1 5.1.019 Approximate the area A under the graph of function f from a to b...
Approximate the area under the graph of f(x) and above the x-axis using n rectangles f(x) = 2x + 3 from x = 0 to x = 2; n = 4; use right endpoints 17 O 15 13 11
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...
19. Given the graph of f(x) below. Find the area between f(x) and the x-axis on ](-2, 8]then determine if the area is equivalent to the definite integral over that same region? Area = a. b. Is the area equivalent to the definite integral? If not, determine the definite integral of the function from (-2, 8]. -2