## Using the trapezoidal rule and 4 equal intervals (n = 4), the calculated value of the integral (roun….

Using the trapezoidal rule and 4 equal intervals (n = 4), the calculated value of the integral (rounded to the first place of decimal)  is

## Consider the integralover the surface of a sphere of radius = 3 with center at the origin, and surfa….

Consider the integralover the surface of a sphere of radius = 3 with center at the origin, and surface unit normal  pointing away from the origin. Using the Gauss divergence theorem, the value of this integral is

## Using the residue theorem, the value of the integral (counterclockwise) around a circle with center ….

Using the residue theorem, the value of the integral (counterclockwise) around a circle with center at z = 0 and radius = 8 (where z is a complex number and  ), is

## Find the general solution of the differential equation  Given that, C1 and C2 are constants of ….

Find the general solution of the differential equation  Given that, C1 and C2 are constants of integration.

## The value of the limit  is….

The value of the limit  is

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## The stream function in a xy-plane is given below.              &n….

The stream function in a xy-plane is given below.                   The velocity vector for this stream function is

## A root of the equation x4 – 3x + 1 = 0 needs to be found using the Newton-Raphson method. If t….

A root of the equation x4 – 3x + 1 = 0 needs to be found using the Newton-Raphson method. If the initial guess, x  is taken as 0, then the new estimate x, after the first interning is

## Given that  is equal to….

Given that  is equal to

## The Laplace transform of the function shown in the figure below is….

The Laplace transform of the function shown in the figure below is

## The inverse of the matrix  is….

The inverse of the matrix  is

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