Sketch the region of integration and evaluate the following integral.
∫∫R6xydA; R is bounded by y = 3- x, y = 0, and x = 9 - y2 in the first quadrant.
Sketch the region of integration and evaluate the following integral.
8. Sketch the region of integration and evaluate the integral re dx dy, where G is the region bounded by 0,1, -o,y-
8. Sketch the region of integration and evaluate the integral re dx dy, where G is the region bounded by 0,1, -o,y-
Sketch the region of integration, reverse the order of integration, and evaluate the integral. 27 3 03 dy dx y? + 1 3x Choose the correct sketch below that describes the region R from the double integral. O A. B. C. D. Ay y 3- 27- 3- 27 х х 27 27 3 What is an equivalent double integral with the order of integration reversed? X dx dy + 1
please anser 9,10,11
9. Reverse the order of integration in Jo edydr and then evae l integral. 10. Use polar coordinates to evaluate 12+y2 where R is the sector in the first quadrant bounded by y 0, y- z, and 11. Find the area of the surface on the cylinder y2 + z2-9 which is above the rectangle R-((,):0s 32, -3 S yS 3) 9. Reverse the order of integration in S e-dydz and then evaluate the integral 10. Use...
Sketch the region of integral integration only of integration and evaluate the integral by som S (9) sin (9) dy doc 49 4) Find all absolute extrema of f(x,y,z) - 2r + y +32° subject to 2r-3y-4 Identify any extrema you find as a maximum or a minimum. (10 pts)
To evaluate the following integral carry out these steps Sketch the original region of integration in the plane and the new regions in the plane using the given change of variables b. Find the limits of integration for the new integral with respect to and Compute the Jacobian d. Change variables and evaluate the new integral sexy-2- S23, where = {x} Os 105x2 - y2- a. Sketch the original region of integration in the wy plane Choose the comed graph...
2. Sketch the region of integration, and then evaluate the integral by first converting to polar coordinates. 1 V2-x2 (x + y)dydx
The following integral can be evaluated only by reversing the order of integration. Sketch the region of integration, reverse the order of integration: and evaluate the integral. Integrate 4 0 Integrate 2 root x (x^2/y^7+1) dy dx Choose the correct sketch of the region below. The reversed order of integration is integrate integrate (x^2/y^7+1) dx dy. The value of the integral is .
To evaluate the following integrals carry out these steps. a. Sketch the original region of integration R in the xy-plane and the new region S in the uv-plane using the given change of variables. b. Find the limits of integration for the new integral with respect to u and v. c. Compute the Jacobian. d. Change variables and evaluate the new integral. х x,y): 0 5x57, 7 sys 6 - -x}; use x=7u, y = 6v - u. S5x25x+7y da,...
Sketch the given region of integration and evaluate the integral over Rusing polar coordinates Sle**** da: R=(x? #y? 54% R Sketch the given region of integration R. Choose the correct graph below. OA OB Oc OD 55 - A- R (Type an exact answer
9. Sketch the region of integration, then evaluate the integral by first changing the order of integration. 4 2 o V+1 dydt