Estimate the volume of the solid that lies below the surface z=1+x^2+3y
Estimate the volume of the solid that lies below the surface z = xy and above the following rectangle. R = = {(x, y) | 2 5x58,2 sys vs6} (a) Use a Riemann sum with m = 3, n = 2, and take the sample point to be the upper right corner of each square. (b) Use the Midpoint Rule to estimate the volume of the solid.
Consider the solid that lies below the surface z = xy and above the following rectangle. R = {(x, y) | 0 SXS6, 2 sys 6} (b) Use the Midpoint Rule with m = 3, n = 2 to estimate the volume of the solid. 324
(1 point) Consider the solid that lies above the rectangle (in the xy-plane) R = [-2, 2] x [0, 2], and below the surface z = x2 - 7y + 14. (A) Estimate the volume by dividing Rinto 4 rectangles of equal size, each twice as wide as high, and choosing the sample points to result in the largest possible Riemann sum. Riemann sum = (B) Estimate the volume by dividing Rinto 4 rectangles of equal size, each twice as...
(4) Consider the surface f(r, y) -7441, over the domain 0 < x < 3,0 y 4. (a) Estimate the volume of the solid over this domain by calculating the Riemann sum for m 3 and n 2 using the lower left corners as your sample points. (b) Estimate the volume of the solid over this domain by calculating the Riemann sum for m 3 and n = 2 using the upper right corners as your sample points. (c) Calculate...
(a) Estimate the volume of the solid that lies below the surface z = xy and above the following rectangle.R = (x, y)|0 = x = 6, 6 = y = 10Use a Riemann sum with m = 3, n = 2, and take the sample point to be the upper right corner of each square. (please give exact answer)V = ______V = ______
(1 point) Consider the solid that lies above the square (in the xy-plane) R = [0,2] x [0,2], and below the elliptic paraboloid z = = 64 – x2 – 2y2. (A) Estimate the volume by dividing R into 4 equal squares and choosing the sample points to lie in the lower left hand corners. (B) Estimate the volume by dividing R into 4 equal squares and choosing the sample points to lie in the upper right hand corners. (C)...
Find the volume of the solid bounded above by the surface z = f(x,y) and below by the plane region R. f(x, y) = x2 + y2; R is the rectangle with vertices (0, 0), (9, 0), (9, 6), (0, 6) ( ) cu units
12. Let R ((x, y)l0 s r s 4,0 s y s 6). Let f(x, y)2+2y Express the Riemann sum estimate for Jjf(x, y)dA with m 2,n 3 using both summation notation and expanded sum form if the sample points are the upper right corners of each sub-rectangle. Do not evaluate. 12. Let R ((x, y)l0 s r s 4,0 s y s 6). Let f(x, y)2+2y Express the Riemann sum estimate for Jjf(x, y)dA with m 2,n 3 using...
can i get answer for all thses questions pllllleeeease Evaluate the double integral by first identifying it as the volume of a solid. STS- (7 - x) DA, R = {(x,y) 10 sxs 7,0 y s 6} 144 x Need Help? Read It Talk to a Tutor Calculate the iterated integral. 12 Sex + 3y dx dy 4397. 107 Х Need Help? Read It Talk to a Tutor 6. [-/1 Points) DETAILS SESSCALCET2 12.1.035. MY NOTES Find the volume of...
Let E be the solid that lies inside the cylinder x^2 + y^2 = 1, above the xy-plane, and below the plane z = 1 + x. Let S be the surface that encloses E. Note that S consists of three sides: S1 is given by the cylinder x^2 + y^2 = 1, the bottom S2 is the disk x^2 + y^2 ≤ 1 in the plane z = 0, and the top S3 is part of the plane z...