VI. Let C be a space curve defined by the vector-valued function R(t) = (sint cost, sin²t, √3t). Let P (0,1, 3) be a point on C. 1. Reparametrize (t) using the arc length s measured from the point P in the direction of increasing values of t. 2. Find the coordinates of the point Q located units along C from the point P.

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Q: 4. Evaluate the following integral fel e(-²²-25) dt

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A: Solution: x'=dxdt=-0.25x+y  .....1y'=dydt=-x+4y  .....2B.C.S: x0=0 and  y0=1From equation 1  and 2…

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Q: 2x + 3y + z = 10 2x - 3y - 3z = 22 4x - 2y + 3z = -2 L Answer x = || y = U -E=3 Z =

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Q: B. SOLUTION OF HOMOGENEOUS SYSTEM GIVEN: [1 -1 -13-14 0 2-2 1 10 0 A= 10 0-2 0 0 0011-10

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A: Solution:-