Use a parametrization to express the area of the surface as a double integral. Then evaluate the integral. The portion of the cylinder x^2+y^2=16 between the planes z=4 and z=5 Let u=z and v=θ and use cylindrical coordinates to parameterize the surface. Set up the double integral to find the surface area.

This question is based on the parametrization. Therefore, 8 is the surface area as a double integral by using parametrization.

Given:

The portion of the cylinder between the planes z=4 and z=5.

Let u=z and v=θ and use cylindrical coordinates to parameterize the surface.

We need to express the area of the surface as a double integral.by using parametrization.

According to the question,

It is given that u=z and v=,

Therefore, r(v,u) = (4 Cos v,4 Sin v, u)

Range of v : 0 v 2

Range of u : 4 u 5

Now calculating the surface area,

Therefore, 8 is the surface area as a double integral by using parametrization.

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The answer is ""

Step-by-step explanation:

Calculating the surface area:

57.09 minus 7.0435 equals

step-by-step explanation:

just subtrach them both and u get the answer of 50.0465