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 f(x)=x^2/8 on the interval [4,8].
The value of this right endpoint Riemann sum is?
To find the value of a Riemann sum, we need to calculate the sum of the areas of all the rectangles used to approximate the area under the curve.
For a left endpoint Riemann sum, the height of each rectangle will be the function evaluated at the left endpoint of each subinterval. In this case, the function f(x) = x^2/8, and the interval [4, 8] is divided into subintervals of equal width. The width of each subinterval will be ((8-4) / n), where n is the number of rectangles used in the approximation.
To calculate the value of the left endpoint Riemann sum, we need to evaluate the function at the left endpoint of each subinterval and multiply it by the width of the subinterval. Then we sum up these values for all the rectangles.
It's important to note that we don't have access to the graph or the specific number of rectangles used, so we cannot provide an exact answer. However, if you have the graph or the specific number of rectangles, you can calculate the value of the left endpoint Riemann sum using the explained method above.
The process for finding the value of the right endpoint Riemann sum is similar, but we evaluate the function at the right endpoint of each subinterval instead of the left endpoint.