Write the given iterated integral as an iterated integral with the order of integration interchanged. 11...
13. (5 points) Reverse the order of integration for the following iterated integral. You do not have to integrate. cos y dy dx 14. (5 points) Integrate the function g(r,0) = p sin over the sector of a disc in the first quadrant bounded by the circle r² + y2 = 1, the circle r² + y2 = 4, the line y = rV3, and the r-axis. 15. (5 points) Convert the following iterated integral from Cartesian to polar. You...
please write neatly and no script! 7. (10 points) For the following iterated integral, sketch the region of integration, then switch the order of integration and evaluate the new iterated integral. 1 •1/2 SL e-22 dx dy. y/2
The figure shows the region of integration for the given intsgral. Rewrite the integral as an equ valent iterated integral in the five other orders z20 dz dy dx dy dx dz dy dx dz dy de dx dx dz dy dx dy dz dx dy dz z. 2 3 z-3-y 0 The figure shows the region of integration for the given intsgral. Rewrite the integral as an equ valent iterated integral in the five other orders z20 dz dy...
Changing the Order of Integration. In Exercises 11-14, sketch the region R whose area is given by the iterated integral. Then change the order of integration and show that both orders yield the same area. 11. Slayd SS 12. dx dy
#2 and 3. Given the region of integration of the integral: 2 •4-x² 10 S dydzdx -2 3. Rewrite the integral as an equivalent iterated integral in the order a. dy dx dz b. dx dy dz c. dx dz dy d. dz dx dy e. dz dy dx
15. (15 points. (a) Sketch the region of integration for the iterated integral . Lzi?dz dy. (b) Evaluate the above iterated integral by reversing the order of integration.
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
QUESTION 2 Solve the problem. Write an iterated triple integral in the order dz dy dx for the volume of the tetrahedron cut from the first octant by the plane yz + 9(1 -y/10)3(1 -x/9-y/10) a dz dy dx 0 0 0 10(1 -x/9) ,3(1-x/9-y/10) 9 dz dy dx 0 0 1-x/9-y/10 C.9 1 -y/10 dz dy dx 0 0 0 d. 9 1 -x/9 1-x/9-y/10 dz dy dx 0 0 0
+ -/15 points scacats 15.6.033. The figure shows the region of integration for the integral. ["lib.*rex, y, z) oz oy ok f(x, , z) dz dy dx Rewrite this integral as an equivalent iterated integral in the five other orders. (Assume y(x) = x and z(y) = 9 - y.) ;Y, 2) dz dx dy Y, 2) dx dy dz R(x, y, z) dx dz dy f(x, y, z) dy dx dz F(x, y, z) dy dz dx
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 .