Question

Calculate \iint_S (x + z) \,dS where S is the part of the cone $z^2 = x^2 + y^2$ that lies between $z = 3$ and $z = 4$.

Name: Calculate (x + z) dS where S is the part of the cone z^2 = x^2 + y^2 that lies between z = 3 and z = 4.
Uploaded: 2022-04-06T05:45:14-08:00
Duration: 6 min 2 s
Channel: Shyam P
Description: Calculate (x + z) dS where S is the part of the cone z^2 = x^2 + y^2 that lies between z = 3 and z = 4.

          Calculate \iint_S (x + z) \,dS where S is the part of the cone $z^2 = x^2 + y^2$ that lies between $z = 3$ and $z = 4$.

Added by David B.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Shyam P

04/06/2022

Step 1

Since the cone is given by z = 2 + y, we can use the parameterization: r(y, θ) = (y, y, 2 + y), where y ranges from 0 to 2 and θ ranges from 0 to 2π. Show more…

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