# Maths

1. What is the Right Riemann Sum for f(x)=x−3 over the interval [8,11], with n=3 rectangles of equal width?
2. What is the right Riemann sum of f(x)=x+3 when using 3 rectangles in the range [−3,−1]?
3. What is the left Riemann sum of f(x)=−2x+1 when using 2 rectangles in the range [−2,0]?
4. What is the left Riemann sum of f(x)=−3x+2 when using 4 rectangles of equal width in the interval [2,4]?

1. 👍 0
2. 👎 0
3. 👁 180
1. since the right side of the intervals are at 9,10,11 just add up (1)* f(9)+f(10)+f(11)

Again use the right sides, of width 2/3 each, to get (2/3)*(f(-7/3)+f(-5/3)+f(-1))

Do the left sums similarly, using the appropriate widths.

1. 👍 0
2. 👎 0
posted by Steve

## Similar Questions

1. ### Calc 2

Can you give me the step by step instructions on how to do this problem? I'm having difficulty understanding Riemann Sum. Let f(x) = 2/x a. Compute the Riemann sum for R4 using 4 subintervals and right endpoints for the function

asked by Bae on May 2, 2014
2. ### calculus

consider the function f(x)= x^2/4 -6 Rn is the Riemann sum where the sample points are chosen to be the right-hand endpoints of each sub-interval. Calculate Rn for f(x)= x^2/4 -6 on the interval [0,4] and write your answer as a

asked by amanda on November 30, 2006
3. ### Calculus

9) The rectangles in the graph illustrate a left endpoint Riemann sum for f(x)=(x^2/8) on the interval [4,8]. What is the value of this left endpoint Riemann sum? The rectangles in the graph illustrate a right endpoint Riemann sum

asked by Hailey on November 12, 2014
4. ### Calculus

The rectangles in the graph illustrates a left endpoint Riemann sum for f(x)=−(x^2/4)+2x on the interval [3,7]. The value of this left endpoint Riemann sum is? The rectangles in the graph illustrates a right endpoint Riemann sum

asked by Hailey on November 17, 2014
5. ### Calculus

The rectangles in the graph illustrate a left endpoint Riemann sum for f(x)=x^2/8 on the interval [4,8]. The value of this left endpoint Riemann sum is? The rectangles in the graph illustrate a right endpoint Riemann sum for

asked by Hailey on November 17, 2014
1. ### calculus(Lab)

Well, first graph the graph of f(x)=-1/10x^2 + 3 2. We are going to approximate the area between f and the x-axis from x = 0 to x = 4 using rectangles (the method of Riemann sums). This is not the entire area in the first

asked by Yoona on January 25, 2012
2. ### Calculus

Evaluate the Riemann sum for (x) = x3 − 6x, for 0 ≤ x ≤ 3 with six subintervals, taking the sample points, xi, to be the right endpoint of each interval. Give three decimal places in your answer and explain, using a graph of

asked by nan on March 10, 2016
3. ### Calculus

Evaluate the Riemann sum for (x) = x3 − 6x, for 0 ≤ x ≤ 3 with six subintervals, taking the sample points, xi, to be the right endpoint of each interval and please explain, using a graph of f(x), what the Riemann sum