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:

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step-by-step explanation:

u send me a picture of ur work

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.