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 coor...
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.)
2. Convert to cylindrical coordinates. Do not evaluate. V5 10-22-y2 cos(.x2 + y²) dz dx dy. 22+y?
(1 point) Evaluate the integral by changing to cylindrical coordinates. 2 ,2 (a2 +y2)32 dz dy dz 2L,2 (1 point) Evaluate the integral by changing to cylindrical coordinates. 2 ,2 (a2 +y2)32 dz dy dz 2L,2
Convert the given integral to an equivalent integral in cylindrical coordinates and evaluate the result, 15 p/25-x² px² V x2 + y2 dz dy dx Jo
Question 15 Convert the triple integr V yzé dz dy dr to cylindrical coordinates. © SE S SA--> »?z? sin º dz dr de So So S4_»(4 – „2)2 sin 0 dz dr de SL S4rz2 sin 0 dz dr de p2z2 sin dz dr do LT S Sone p222 sin 0 dz dr de
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
10. Rewrite the following integral using cylindrical coordinates. Do NOT evaluate. V 25-y2 Lolo /x²+42 uz dz dx dy **
3. Consider the triple integral 2z sin(x2 + y2 +22 - 2x) dy da dz. Set up, but do not evaluate, an equivalent triple integral with the specified integration order. a) (6 pts) da dz dy b) (7 pts) dz dr de (Cylindrical Coordinates) c) (7 pts) dp do do (Spherical Coordinates)
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...
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.)