Suppose R is the shaded region in the figure, and f(x, y) is a continuous function on R. Find the limits of integration for the following iterated integrals.
I had to add a negative sign for the equatin of the line:
-(y+2)/(-2-4) = (x-2)/(-3-2)
Suppose R is the shaded region in the figure, and f(x, y) is a continuous function on R. Find the limits of integration for the following iterated integrals.
Suppose R is the shaded region in the figure, and f(x,y) is a continuous function on R. Find the limits of integration for the following iterated integrals. BD (a) [f $12,9)da = S, "Lº f12, y) dy de PH dA= JE JG f(x,y) dc dy I
Suppose \(R\) is the shaded region in the figure, and \(f(x, y)\) is a continuous function on \(R\). Find the limits of integrationfor the following iterated integral.(a) \(\iint_{R} f(x, y) d A=\int_{A}^{B} \int_{C}^{D} f(x, y) d y d x\)
6AHW7: Problem 5 Prev Up Next (1 pt) Suppose R is the shaded region in the figure, and f(x,y) is a continuous function on R. Find the limits of integration for the following iterated integrals. Bp D -» [f(3, 3)dA = SL" $12, 9) dy de x,y) dA= f(x,y) dy dx ЈА Јc so || 13 wyda= [." 15:19) de dry We were unable to transcribe this image
UYU TUTI9W Calc3 Section 14.2: Problem 2 Previous Problem Problem List Next Problem (1 point) Suppose R is the shaded region in the figure, and f(x,y) is a continuous function on R. Find the limits of integration for the following iterated integrals. ** ſf 515,)da = $\S.° 13,5v) dydz => [f 12, )dA = S"L" s13,1) de dy
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
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 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...
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,...
Enter the correct limits of integration. Use increasing limits of integration. Set up the iterated integral for evaluating SS S40,0,.2)dz f(r,0,z)dz r dr de over the region D, D where D is the solid right cylinder whose base is a region in the xy-plane that lies inside the cardioid r = 6 +6 cos 0 and outside the circle r=6, and whose top lies in the plane z = 24 SSS fr, 0z) dz r dr de (Type exact answers,...
11.1) a) Verify that the function f(x,y) given below is a joint density function for r and y: ſ4.ty if 0 <r<1, 0 <y<1 f(x, y) = { 10 otherwise b) For the probability density function above, find the probability that r is greater than 1/2 and y is less than 1/3. 11.2) For the same probability density function f(x,y) as from Problem #1. Find the expected values of r and y. 11.3) a) Let R= [0,5] x [0,2]. For...