Consider the triple integral LLL 3- 2z sin(x² + y2 + 22 - 2x) dy do dz. -3-2- Set up, but do not evaluate, an equivalent triple integral with the specified integration order. a) (6 pts) do dz dy b) (7 pts) dz dr do (Cylindrical Coordinates) c) (7 pts) dp do do (Spherical Coordinates)
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)
(a) Evaluate | SL via de dy ds. e dadydx by using cylindrical (b) Evaluate the iterated triple integral coordinates.
Setup and eval the triple integral.
spherical set up triple Integral and evaluate, in coordinates the solid inside the sphere x²+42+ z² = 44 and below the cone z= √²+ya. 8 de do do A c E
Evaluate the below triple integral in the region R bounded by the cylinder y2 + z2 = 9 and the planes I = 0 and 2 = . SlS (82) sin (52)dzdydz (Enter at least three digits after the decimal separation) Yanit:
JJJE Evaluate the triple integral (2 + xy) dV, where is the solid region above the paraboloid z = 22 + y2 and below the plane z = 9. O 817 O 547 O 1627 O 1087 O 727
Suppose you have to use spherical coordinates to evaluate the triple integral SI z dV where D is the solid region that lies inside the cone z = 22 + y2 and inside the sphere 22 + y2 +22 = 144 D Then the triple ingral in terms of spherical coordinates is given by Select all that apply p3 cos • sin o dp do do D [!] > av = 6*6** ? [!] > av = 6"* )*S" So*%*%**...
16. Question Details LarCalc11 14.6.017. (3865000) Set up a triple integral for the volume of the solid. Do not evaluate the integral. The solid that is the common interior below the sphere x2 + y2 + 2+ = 80 and above the paraboloid z = {(x2 + y2) dz dy dx L J1/2012 + y2 Super 17. LarCalc11 14.7.004. (3864386] Question Details Evaluate the triple iterated integral. 6**6*6*2 2/4 2 2r rz dz dr de Jo lo 18. Question Details...
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triple integral problem.
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thanks.
Evaluate the triple integral y dV, where E is the solid that lies under the plane x+z = 1° and above the triangle with vertices at (0, 0), (2, 1), (0, 3)
Evaluate the triple integral y dV, where E is the solid that lies under the plane x+z = 1° and above the triangle with vertices at (0, 0), (2, 1), (0, 3)
Evaluate the triple integral below where E is enclosed by the paraboloid 2= 4 - - y2 and 2 = -2. SIJ. 20 zdV