072 5+292 Evaluate the cylindrical coordinate integral dz r dr do The value is 960 (Type...
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
aluate the cylindrical coordinate integral. TR/2 S 6r4 zsin 0 dz r dr do 10) 2r4 26 D) 105 17 8. A)- eb pl B) T8 105 105 Ob b ob
asap please 10 Convert the ts Page 11 of 11 ategral in cylindrical coordinates (do NOT evaluate the integral): (J0p dz dy dr. 10 Convert the ts Page 11 of 11 ategral in cylindrical coordinates (do NOT evaluate the integral): (J0p dz dy dr.
14.7.35 firez) dz r dr do as an iterated integral over the region that is R Give the limits of integration for evaluating the integra SSS«.02) . bounded below by the plane z = 0 on the side by the cylinder r = 2 cos 0 and on top by the paraboloid z = 4r? IssType exact answers, using a as needed) The limits of integration for z are
Evaluate the following integral in cylindrical coordinates. 6 213 16x2 SS S -x2 - y2 dy dx dz e 0 0 X 6 213 16-X2 S ,-x2 - y2 dy dx dz = 0 0 x (Simplify your answer. Type an exact answer, using a as needed.)
5. (15 points) Consider 3 dz r dr d, 20. a. Convert the integral to rectangular coordinates with the order d: dr dy (but don't evaluate.) b. Convert the integral to spherical coordinates (but don't evaluate.) 5. (15 points) Consider 3 dz r dr d, 20. a. Convert the integral to rectangular coordinates with the order d: dr dy (but don't evaluate.) b. Convert the integral to spherical coordinates (but don't evaluate.)
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...
Use cylindrical coordinates to evaluate the integral. S SVO?-?? /o-+?=> p?dzaydx (a > 0) Enter the exact answer. S6 Soy Sa+=2=x?dzdydx ? Edit Use cylindrical or spherical coordinates to evaluate the integral. 36—y2 2-x2y2 6* %* Son z? dz dx dy Enter the exact answer. 6.* 6*** San z2 dz dx dy = x2 + y2
Evaluate the line integral in Stokes Theorem to evaluate the surface integral J J(VxF)-n ds. Assume that n points in an upward direction F (xty,y z,z+x) S is the tilted disk enclosed by r()-(3 cost,4sint,7 cos t Rewrite the surface integral as a line integral. Use increasing limits of integration. dt (Type exact answers, using π as needed.) Find the value of the surface integral. JÍs×F).nds-ロ (Type an exact answer, using π as needed.) Evaluate the line integral in Stokes...
2x 3 sin Evaluate the spherical coordinate integral p sin dp dop de. 0 0 0 The value is (Type an exact answer, using n as needed.)