14.7.35 firez) dz r dr do as an iterated integral over the region that is R...
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,...
QUESTION 9 Set up the iterated integral for evaluating S SS Fr, 0, 2) dz r dr de over the given region D. D D is the right circular cylinder whose base is the circle 1-2cose in the xy-plane and whose top lies in the plane 26-x-y. cos sin ) S" s2.com fit, 0, 2) dar dr de 0 sin e 6-sin-coso 52" s 'S ft , z) dar dr de so 0 0 0 0 2 cos 0 -pleos...
Q3. Sketch the region of integration for the integral [5(8,19,2) dr dz dy. (2, y, z) do dzdy. Write the five other iterated integrals that are equal to the given iterated integral. Q4. Use cylindrical coordinates and integration (where appropriate) to complete the following prob- lems. You must show the work needed to set up the integral: sketch the regions, give projections, etc. Simply writing out the iterated integrals will result in no credit. frs:52 (a) Sketch the solid given...
5. Set up the iterated integral for evaluating SSS, f(r,0,z)dzrdrde over the given region D. D is the prism whose base is the triangle in the xy-plane bounded by the x-axis and the lines y = x and x = 1 and whose top lies in the plane z = 2 – y. z 2 z = 2 - y y = x
Please try helping with all three questions.......please 1 point) Integratef(x, y, z) 6xz over the region in the first octant (x,y, z 0) above the parabolic cylinder z = y2 and below the paraboloid Answer Find the volume of the solid in R3 bounded by y-x2 , x-уг, z-x + y + 24, and Z-0. Consider the triple integral fsPw xyz2 dV, where W is the region bounded by Write the triple integral as an iterated integral in the order...
6. Set up, but do not evaluate, an iterated integral that gives the volume of the solid region that lies below the paraboloid z =エ2 + V2 and above the region in the zy-plane bounded by the curves-8a2 and i-z. 6. Set up, but do not evaluate, an iterated integral that gives the volume of the solid region that lies below the paraboloid z =エ2 + V2 and above the region in the zy-plane bounded by the curves-8a2 and i-z.
6. (4 pts) Consider the double integral∫R(x2+y)dA=∫10∫y−y(x2+y)dxdy+∫√21∫√2−y2−√2−y2(x2+y)dxdy.(a) Sketch the region of integration R in Figure 3.(b) By completing the limits and integrand, set up (without evaluating) the integral in polar coordinates.∫R(x2+y)dA=∫∫drdθ.7. (5 pts) By completing the limits and integrand, set up (without evaluating) an iterated inte-gral which represents the volume of the ice cream cone bounded by the cone z=√x2+y2andthe hemisphere z=√8−x2−y2using(a) Cartesian coordinates.volume =∫∫∫dz dxdy.(b) polar coordinates.volume =∫∫drdθ. -1 -2 FIGURE 3. Figure for Problem 6. 6. (4 pts)...
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
Evaluate the following integral in cylindrical coordinates. z T 4 4 dz r dr de 00-4 -4 4 T 4 4 SSS dz r dr do = (Type an exact answer, using a as needed.) 00-4
Evaluate the integral: (x) dzdrdy, where B is the cylinder over the rectangular region R-(z, y) є R2 :-1 z 1,-2 y of the zy-plane, bounded below by the surface ะ1-sin|cos y and above by the sur- 2) face of elliptical paraboloid 22-2-4-9 Evaluate the integral: (x) dzdrdy, where B is the cylinder over the rectangular region R-(z, y) є R2 :-1 z 1,-2 y of the zy-plane, bounded below by the surface ะ1-sin|cos y and above by the sur-...