Write a double integral and show every step of the calculation of this iterated integral
Write a double integral and show every step of the calculation of this iterated integral 12....
i need help with these 3
please
5. [-12 Points] DETAILS ROGACALCET3 15.2.011. Evaluate Sb 10y da where D is the shaded part of the graph of y = 4 – x2 (a semicircle of radius 2). (Round your answer to four decimal places.) Sl 10y dA = V eBook 6. [-/2 points) DETAILS ROGACALCET3 15.2.016. Integrate f(x,y) = x + y over the region bounded by y = 3x and y = 9x – x2. (Round your answer to...
Thanks
In evaluating a double integral over a region D, a sum of iterated integrals was obtained as follows: 0 f(x, y)dy dr f (r, y)dy d f(x, y) dA -2 2 TJ= Sketch the region and express the double integral integration as an iterated integral with reversed order of
Please show full solutions so i can understand
3. (i) 3pl Set up iterated integrals for both orders of integration forev dA, where D is the region in the ry-plane bounded by y -,4, and z-0 (ii) [3p] Evaluate the double integral in part (i) of this question using the easier order of integration. (ii) [3pl Find the average of the function f(, y) yey over the region D.
3. (i) 3pl Set up iterated integrals for both orders of...
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Evaluate the double integral over the region R that is bounded by the graphs of the given equations. Choose the most convenient order of integration (8x + 9y + 1) dA; y=x2, y=x3 eBook
set up iterated integrals for both orders of integration. then
evaluate the double integral using the easier order and explain why
it's easier.
D y dA, D is bounded by y = x - 2,
x=y2 (the D next to the double integral
should be under the integral. I don't know how to put it in the
right spot.
4. (5 points) Express the integral JI f(x, y, z) dV as an iterated integral in 6 different ways, where E is the solid region bounded by y2 + z-9. x--2, and x-2.
4. (5 points) Express the integral JI f(x, y, z) dV as an iterated integral in 6 different ways, where E is the solid region bounded by y2 + z-9. x--2, and x-2.
Question 9 what is the value of the iterated integral Sd Jae++34 dydz Formulas: Assume a, b, c, and d are real numbers. We define an iterated integral for a function f(x, y) over the rectangular region R = [a, b] x [c, d] = {(x,y) a $$b csy $d} as Si ta f(x,y)dyda ist f(x,y)dyl dz. So [ f(0, 2)dy) do neand there we tanes integrate flt,») The notation with respect to y holding constant fino a 6 from...
This are two parts of the same question, but I don't
know how to work on this question. So, any help would be
much appreciated.
(4pts) Write ||| f(x, y,z)dV as iterated integrals if S is the solid bounded by S: x2 +y2+2=2and z = x2 + y2 a. (4pts) Sketch the region S in R3 over which the integral is computed. 3π/2 3
(4pts) Write ||| f(x, y,z)dV as iterated integrals if S is the solid bounded by S:...
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...
Question 7 5 pts each Write iterated integrals for each of the given calu lations. Do not evaluate. (A) The integral of f(x, )212y over the domain D: 2 y 20. (B) The integral of f(x, y, z) = 12x + 3 over the volume contained in the first octant and below the graph z 8-y 2 (C) The mass of an object occupying the region bounded between the sur faces x2 + y2 + Z2 = 16 and z...