Use an iterated integral to find the area of the region.
Use an iterated integral to find the area of the region. 5. -/3 POINTS LARCALC11 14.1.034....
Sketch the region R whose area is given by the iterated integral. 8 dx dy 9 B B 7 7 00 6 5 5 4 4 3 2 2 1 1 1 1 2 3 4 5 6 7 8 9 1 2 3 5 6 7 9 . В 8 7 7 6 6 5 5 4 3 3 2 2 1 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 9 Change...
Use an iterated integral to find the area of the region bounded by the graphs of the equations y = 27- xand y = x +7.)
Consider the region R shown in the figure and write an iterated integral of a continuous function over R. Choose the correct iterated integral below OA Oc. OD JJ fx.y) dy dx S Study de Consider the region R shown in the figure and write an erated integral a continuous function for Choose the correct terated integral below JJ Roxy) dy dx JJ x) dx dy
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
1. An iterated double integral that is equivalent to *** dx + ry dy JOR 3. Use Groen's Theorem to set up an iterated double integral equal to the line integral $+eva) dx +(2+ + cow y) dy where is the boundary of the region enclosed by the parabolas y rand 1 = y2 with positive orientation. This yields: A. where R is the triangular region with vertices (0,0),(1,0) and (0,1) is: A B. B. So ['(2-z) dr de SL...
4. (10 total points) (a) (5 points) Compute the iterated integral dx dy (b) (5 points) Compute the double integral /9-2dA R-0,4] x [0,3]
1/3 POINTS PREVIOUS ANSWERS LARCALC11 14.1.043. Sketch the region R of integration and switch the order of integration. 14 y 6° 6° fax, y) dx dy 7 OT 1 2 3 4 5 -1 0 012 2 0 3 4 5 1 2 3 4 5 14 y b l'acom a ty = * f(x, y) dx dy = 1 xf f(x, y) dy dx Jo Jo
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...
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.
#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