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Q: 2 Find the volume of the ellipsoid 2y 7z 16

A: Volume of the ellipsoid for the equation,

Q: Consider the following. f(x) = x − 5 x2 − 25 Find any vertical and horizontal asym...

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Q: how to solve problem in photo attached

A: Given:

Q: Questions 19

A: Given:

Q: Solve using trig substitution.

A: To evaluate the algeberaic integral using trigonometric substitution

Q: The force exerted by an electric charge at the origin on a charged particle at a point (x, y, z) wit...

A: The position vector,

Q: Find the derivative of the vector function ta x (b tc), where r(t) = (-1,1,-2) а %3 (-2,3, -1), ь 3 ...

A: Given vector function is,

Q: Use the method of partial fraction decomposition to perform the required integration. X1 (x-7)2 x 1 ...

A: Write x+1 as x-7+8 to simplify the integrand

Q: Find the area of the region enclosed by one loop of the curve. r=sin(8theta)

A: Draw the given curve as shown below.