aluate the cylindrical coordinate integral. TR/2 S 6r4 zsin 0 dz r dr do 10) 2r4...
072 5+292 Evaluate the cylindrical coordinate integral dz r dr do The value is 960 (Type an exact answer, using s as needed.)
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
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.
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...
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
Question Use cylindrical coordinates to set up the triple integral needed to find the volume of the solid bounded above by the xy-plane, below by the cone z = x2 + y2 , and on the sides by the cylinder x2 + y2 = 4. a) 06.* %* ["dz dr do b) $* * S*rde de do JO 0% ] raz dr do a) $** [Lºdz dr do 0906.*|*Lºrdz dr do 2 po dz dr do Jo J- O J-...
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...
Covert 1 = 83 84-** S*-**-»* dz dydx to an equivalent integral in cylindrical coordinates. Let be the region bounded below by the cone z = and above by the sphere x2 + y2 + (z - 1)2 = 1. |3x² + 3y² Set up (Do not evaluate) the triple integral in spherical coordinates to find the volume of D.
(1 point) Evaluate the integral. 16 16- S. 1 (a2y2z2)1/2 dy dz dx 16-r 0 (1 point) Evaluate the integral. 16 16- S. 1 (a2y2z2)1/2 dy dz dx 16-r 0
DO NOT use a calculator. Exact answers only, no decimals. 1. (10 pt each) Evaluate the following integrals: since) dz In(In(x b. dr c. cos(x)(sin(a)2 dz d.2tan (') dr 1. (10 pt each) Evaluate the following integrals: since) dz In(In(x b. dr c. cos(x)(sin(a)2 dz d.2tan (') dr