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An equivalent integral of So Tx dx dy with the order of integration reversed is $$*...
Evaluate the integral 1 ET sin(2²) dx dy by reversing the order of integration. With order reversed, 6 sin(x²) dy dx, where a = ,b= C= and d Evaluating the integral, So S, sin(x2) dx dy =
Reverse the order of integration in the following integral. 49 Vy flx.y) dx dy Oy77 Choose the correct reversed integral below. A 7x 7 49 7x [(x,y) dx dy [r(x,y) dy dx 720 OC. 77x D. 7x7 JJ f(x,y) dy dx fix.y) dy dx 02 Click to select your answer.
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
The area inside the circle r = 4 sin and outside the circle r = 2 (see figure) is: -= 4sin r=2 Select one: a. 47 +413 O b. 42 +213 O 47 C. O d. 27 +423
4. Rewrite the following triple integral so that the order of integration is dy dx dz. Do not evaluate it. (3x + y) dz dy dit
8. Interchange the order of integration and evaluate the integral So Size** dx dy.
(a) Evaluate the double integral 4. (sin cos y) dy dr. Hint: You may need the formula for integration by parts (b) Show that 4r+6ry>0 for all (r,y) ER-(x,y): 1S2,-2Sysi) Use a double integral to compute the volume of the solid that lies under the graph of the function 4+6ry and above the rectangle R in the ry-plane. e) Consider the integral tan(r) log a dyd. (i) Make a neat, labelled sketch of the region R in the ry-plane over...
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...
Which of the following is equivalent to -y-dx + xdy + xz-dz where C is the intersection of y + z = 3 and x' + y = 4, oriented counterclockwise when viewed from above. Hint: Consider the surface S lying inside of the slanted circle. Turn it into an integral over S using Stokes' theorem. 2012 (-psine +8rsin? - 8r) drde s "S*(-7°sino +er+sin? "O 21 2 1 (-r?sin?@ +6rsin 8 - 3) drdo 1, " \ *c+2rsin?aydrde 211...
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...