Evaluate the triple integral. 5x dv, where e is bounded by the paraboloid x = 7y2 + 7z2 and the plane x = 7. e

Following are the triple integral calculation to the given question:

Given:

To find:

Evaluate the triple integral=?

Solution:

by using parameterization convert the cylindrical coordinates:

In the given question the E is the set of points like  and  

by solving the value we get:

Therefore, the final answer is ""

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Convert to cylindrical coordinates:

Then is the set of points such that , , and or .

Now

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step-by-step explanation:

let m = monomial

let t = trinomial

so, m times t = t.

monomial times a trinomial = another trinomial.