Let r(t) = (t cos t, t sin t, )t . Calculate the velocity, acceleration and speed for the given path.

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A: We can Prove an infinite subset of a compact space has a limit point.

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Q: 1. For the following differential equation: 1 cos(3x) d'y dr² +9y 15x +7+e™ a. Find the general…

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Q: use gauss jordan method to solve x+3y-4z-w=11 4x+y+3z+3w=5 -3x- y+z-5w=-19 x-y-3z-4w=-8

A: We have solve the system of equation by Gauss Jordan method

Q: 06) ["sin": sin¹ x dx Boole's

A: Boole's rule is specifically designed to approximate integrals over equally spaced intervals. It…