1) For the function below, approximate the area under the curve on the specified interval as...
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...
SHORT ANSWER. Show all work. Find the area under the curve of the function on the stated interval. Do so by dividing the interval into n equal subintervals and finding the area of the corresponding circumscribed polygon. Draw the curve and the rectangles. Use right endpoints. 1) f(x) = 2x2 + x + 3 from x = 0 to x = 6; n = 6
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
over the interval (10 pts) 2) Approximate the area under the curve given by f(x) = 5x2 - x (-3,5) using a Riemann sum with 6 equal subintervals.
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...
Integrals are often introduced in Calculus 1 as an “area under the curve” problem. But does the area under the curve make sense for the integral of a vector function? Discuss what integration might mean in the context of a vector function, where is an interval. Give specific examples of problems that illustrate your points. f:1R We were unable to transcribe this image f:1R
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
Approximate the area under the graph of F(x)=0.7x3 +7x2-0.7x-7over the interval [-9,-4) height of the rectangles using 5 subintervals. Use the left endpoints to fird te The area is approximately (Type an integer or a decimal)
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
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.