2. Use cylindrical coordinates to solve the integral SSS (x2 + y2) dx dy dz D...
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
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.)
Evaluate the integral by changing to cylindrical coordinates. 13 /9-x² 89-x² - y2 x2 + y2 dz dy dx Jo
Do not evaluate, rewrite the integral using spherical coordinates 25-x² - y2 1 dz dx dy 05 NUS y=0 X-O Z=o
Evaluate the following integral in cylindrical coordinates. 5 125-x² 4 5 0 0 1+x2 + y2 dz dy dx
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
2 147 a. Evaluate the triple integral (convert to oylindrical)12I, J xz dz dx dy b. Find the moment of inertia about the z-axis for the solid in the first octant bounded by x2+y2 -4 and z2-x2 + y2 if the density is given by: z. (Use cylindrical.) c. Find the mass of the solid bounded by z2 -x2 +y2 and z 1 in the first octant, if the density is given by: cos. (Use spherical.) 2 147 a. Evaluate...
1. Use cylindrical coordinates to SET UP the integral for the volume of the portion of the unit ball, 22 +232 + x2 < 1, above the plane z = 12 2. (a) Write in spherical coordinates the equations of the following surfaces: (i) x2 + y2 + x2 = 4 (ii) z = 3x2 + 3y2 (b) SET UP the integral in spherical coordinates for the volume of the solid inside the surface 22 + y2 + x2 =...
Use cylindrical or spherical coordinates to evaluate the integral: inment FULL SCREEN PRINTER Chapter 14, Section 14.6, Question 019 Use cylindrical or spherical coordinates to evaluate the integral. V64-y2 V128-22 Voor z dz dx dy Enter the exact answer. 128-22-yy 22 dz dx dy = Edit SHOW HINT LINK TO TEXT