(i) Given f(x,y)=x² + y on the rectangle R = {(x, y) | 0≤x≤ 2,0 ≤ y ≤ 2}. Find the exact values of volume by using the Riemann sum with 9 equal subrectangles. Use the upper right corners, Uƒ (P) of each rectangle as the sample points. (ii) (iii) Evaluate the double integral fff(x,y) dA. R Hence, interpret the accuracy results.

Q: Find the area A of the region between y = 4x2 + 10 and y = 2x + 7 over the interval [-3, 2].

A:

Q: Find the area of the region between the functions y = (x – 5)3,y = x – 5.

A:

Q: QI: Find the area between x =2y2 + 3 and x = y2. %3D

A: x=-2y2+3x = y2

Q: Find the area bounded by y = (11 – x)7, the lines 3x=2, x=10, and the x-axis

A: We have to find the area bounded by the curves.

Q: Find the average value of f(y)=y sqrt(4-5y) on the interval [3,4]

A: For the solution follow the next step.

Q: Estimate the area of the region bound by the graph of f (x) = x² + 3x and the x-axis on [2, 5] using…

A: The area under the graph of f(x)=x2+3x is to be calculated using the right-reimann sum on the…

Q: The area D is the area in the XY-plane bounded by the X-axis, Y-axis, and the 4x + line 5y = 0.…

A:

Q: Determine the max value of the function f (x, y) =x2 + 2y² + z? in the area given by:x* + y* +z*…

A: According to the given information, it is required to find the maximum value of the given function.

Q: integrate ƒ over the given region. ƒ(x, y) = 1/(xy) over the square 1<=x<= 2, 1 <=y<=2.

A: