Mathematics Homework Solutions

Evaluate the iterated integral

Evaluate the iterated integral (See attached) SEND ANSWER AS ATTACHMENT

Evaluate the integral

Evaluate the attached integral. SEND AS ATTACHMENT

Calculus find dy/dt of a function

Find dy/dt of the function y= 2/(2t^3-5)^4 Could you please explain each step required to complete this question?

Find the Gradient of the function

Find the gradient of the function: (3√θ^3) / 2sin2θ I have a number of these questions to complete could you please explain each step involved to get the correct answer

Determine a normal vector to this surface at the point...

Let X: R^2  R^3 be the parameterized surface give by X(s,t) = (s^2 – t^2 , s + t, s^2 + 3t) A) Determine a normal vector to this surface at the point (3, 1, 1) = X(2, -1) b) Find an equation for the plane tangent to this surface at the point (3, 1, 1)

Find the area of the surface cut from the parboloid...

Please see the attached file for full problem description.

Calculate the surface area of the portion of the plane x + y + z = a...

Calculate the surface area of the portion of the plane x + y + z = a cut out by the cylinder x^2 + y^2 = a^2 in two ways... Please see the attached file for full problem description.

Find the flux

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Multivariable Calculus

Please see the attached file for full problem description. --- Let S denote the closed cylinder with bottom given by z=0, top given by z=4, and lateral surface given by the equation x^2 + y^2 = 9. Orient S with outward normals. Determine the indicated scalar and vector surface integrals.

7.2.4 Multivariable Calculus

Please see the attached file for full problem description.

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