Question

(5 points) Evaluate the integral $\iint_S xyz \,dS$, where $S$ is the part of the plane $z = 6 - y$ that lies in the cylinder $x^2 + y^2 = 4$

Name: (5 points) Evaluate the integral xyz dS, where S is the part of the plane z = 6 - y that lies in the cylinder x^2 + y^2 = 4
Uploaded: 2022-06-11T11:06:08-08:00
Duration: 6 min 5 s
Channel: Shaiju T
Description: (5 points) Evaluate the integral xyz dS, where S is the part of the plane z = 6 - y that lies in the cylinder x^2 + y^2 = 4

          (5 points) Evaluate the integral $\iint_S xyz \,dS$, where $S$ is the part of the plane $z = 6 - y$ that lies in the cylinder $x^2 + y^2 = 4$

Added by Jennifer J.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Shaiju T

06/11/2022

Step 1

Since S is the part of the plane z=6-y that lies in the cylinder x^(2)+y^(2)=4, we can use the parameterization: x = rcosθ y = rsinθ z = 6 - rsinθ Show more…

Show all steps

Thanks for your feedback!

(5 points) Evaluate the integral ∬_(S)xyzdS, where S is the part of the plane z=6-y that lies in the cylinder x^(2)+y^(2)=4 (5 points) Evaluate the integral JJs &yz dS, where S is the part of the plane