Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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- Use the Riemann Sum to find the area of the region bounded by the graph of f(x)=tan(x/6) and the x-axis between x = 0 and x = 2π. Write out the expression of the summation, but don’t evaluate it.arrow_forwardFind the right Riemann sum of f(x)=x²-1 on [2, 4] n = 4 Provide your answer below:.arrow_forwardLet f(x) = x², and compute the Riemann sum of f over the interval [3, 5], choosing the representative points to be the left endpoints of the subintervals and using the following number of subintervals (n). (Round your answers to two decimal places.) (a) Two subintervals of equal length (n = 2) (b) Five subintervals of equal length (n = 5) (c) Ten subintervals of equal length (n = 10) (d) Can you guess at the area of the region under the graph of f on the interval [3, 5]? 32.67 square unitsarrow_forward
- Consider the function y= √x over the interval [0,9]. (a) Use a Riemman sum with a partition of [0,9] into three equal-length subintervals to estimate the area under the y= √x over the interval [0,9]. Use the right-hand endpoints of the subintervals to calculate the height for the rectangles. (b)Check your estimate from part (a) by integrating an appropiate integral to find the exact areaarrow_forwardHow do we calculate the lower Riemann sum L(f,P) and the upper Riemann sum U(f,P) given the partition P = {0, 1, 2, 3} of the interval [0, 3].arrow_forward
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