1. Let f(1) = ***+3. (a) (3 points) Sketch the region S below the graph of...
Let f(x) = 14 − 2x. (a) Sketch the region R under the graph of f on the interval [0, 7]. Use a Riemann sum with five subintervals of equal length (n = 5) to approximate the area (in square units) of R. Choose the representative points to be the right endpoints of the subintervals. square units (c) Repeat part (b) with ten subintervals of equal length (n = 10). square units (d) Compare the approximations obtained in parts (b)...
MY NOTES 5. - 6 POINTS SCALCLS15.1.004. (*) Estimate the area under the graph of 4 rectangles and right a r ound your answers to four decimal places) Sketch the graph and the rectangle 6 f(x) = 45 f(x) 4x Is your estimate an underestimate or an overestimate overestimate underestimate (b) Repeat part (a) using left endpoints. Sketch the graph and the rectangles. Sketch the graph and the rectangles. of f(x) = 45 6 f(x) = 45 6 f(x) =...
Consider the following. y 24 y = f(x 12 Y 24 12 (a) Use six rectangles to find estimates of each type for the area under the given graph of ffrom x = 0 to x 36 (i) Sample points are left endpoints. L6 = (ii) Sample points are right endpoints. R6 are midpoints (ii) Sample points M6 (b) Is L an underestimate or overestimate of the true area? overestimate underestimate underestimate or overestimate of the true area? (c) Is...
(10 points) Use six rectangles to find an estimate of each type for the area under the given graph off from x = 0 to x = 12. 1. Take the sample points from the left- endpoints Answer: L6 - 2. Is your estimate L6 an underestimate or overestimate of the true area? Choose one 3. Take the sample points from the right- endpoints. Answer: R6 1. Take the sample points from the left- endpoints. Answer: L - 2. Is...
1. (Section 5.1) Let f(x) . In this problem, we'll numerically estimate the area under the graph of f on [-2, 1] three different ways. (a) First, graph f on [-2,1] in Mathematica, and draw three neat copies of it on your paper for parts (b), (c), and (d). (b) Compute Rs. Show your work by drawing the rectangles you use on the graph of f. Based on your graph, is this a clear overestimate, a clear underestimate, or is...
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...
and the r-axis. 5. Consider the region S bounded by r 1, r = 5, y (a) Use four rectangles and a Riemann sum to approximate the area of the region S. Sketch the region S and the rectangles and indicate your rectangles overestimate or underestimate the area of S. (b) Find an expression for the area of the region S as a limit. Do not evaluate the limit. and the r-axis. 5. Consider the region S bounded by r...
Find an approximation of the area of the region R under the graph of the function f on the interval [-1, 2]. Use n = 6 subintervals. Choose the representative points to be the left endpoints of the subintervals. f(x) = 6 - x2 _______ square units
(a) Estimate the area under the graph of f(x) = 2/x from x = 1 to x = 5 using four approximating rectangles and right endpoints. | R = (b) Repeat part (a) using left endpoints. L = (c) By looking at a sketch of the graph and the rectangles, determine for each estimate whether is overestimates, underestimates, or is the exact area. ? 1. R4 42. L
Find an approximation of the area of the region of the subintervals. under the graph of the function on the interval 1.31. Use 4 subintervals. Choose the representative points to be the right endpoints D s quare units Submit Answer