Can i just get the final answer for question 3 and 4? Find the Riemann sum sigma

Question

Can i just get the final answer for question 3 and 4?

Find the Riemann sum sigma^m_i = 1 sigma^n_j = 1 f(x*_ij, y*_ij) Delta A of f over the region R with respect to the regular partition P with the indicated values of m and n, f(x, y) = x^2 - 2y; R = [2, 6] times [2, 4]; m = 4, n = 2; (x*_ij, y*_ij) is the upper right-hand comer of R_ij Find the Riemann sum sigma^m_i = 1 sigma^n_j = 1 f(x*_ij, y*_ij) Delta A of f over the region R with respect to the regular partition P with the indicated values of m and n, f(x, y) = 2xy; R = [-1, 1] times [-2, 2]; m = 4, n = 4; (x*_ij, y*_ij) is the center of R_ij The following figure depicts a pond that is 40 ft long and 20 ft wide. The depth of the pond is measured at the center of each sub rectangle in the imaginary partition of the rectangle that is superimposed over the aerial view of the pond. These measurements (in feet) are shown in the figure. Estimate the volume of water in the pond.

Explanation / Answer

3) 104 ---> ANSWER

First off, the endvalues of x are 2,3,4,5,6

And endvalues of y are 2,3,4

4) 0 ---> ANSWER

Here, endvalues of x are -1 , -0.5 , 0 , 0.5 and 1

And endvalues of y are -2 , -1 , 0 , 1 and 2

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