3. Use integration to determine the formula for the "equatior: given that : F(t) = ( 2t , 12e" , sin t) and 7(0) = (1,2, 4. Consider the plane curve C: F(t) = (b cos(wt), b sin(wt) (a) Find the value of a for which 7+ aĩ = ō.

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A: Given that, r→t=4 cos 5t,  4 sin5t,  5t  at the point   t=0

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A:

Q: Find T, N and B for the curve 7(t) = (4 cos(2t), 4 sin(2t), 2t) at the point t = 0 %3D Give your…

A: given that                                          r→(t)=4cos(2t), 4sin(2t), 2t at t=0…

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Q: w = sqrt(25-4x2- 4y2) ,  x=r cos(theta) ,  y=r sin(theta) (b) Find del w / del r and del w / del ?…

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Q: Find the complete solution of the differential equation, y' = 2 - cot.

A:

Q: 5) Determine the slope of the tangent line to the function with the given information: a. f(x, y) =…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

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Q: Find 7, Ñ and B for the curve (t) = (4 cos(3t), 4 sin(3t), 2t) at the point t = 0 Give your answers…

A: We have to find the  for the given curve.

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A: [x,y]=meshgrid(0:2*pi); z=sin(x)+cos(y); surf(x,y,z)

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Q: Determine the equation of the tangemt line to c(z) = cot (Tz)sin-1(z) at the point where z=1/2.

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Q: Find T, N and B for the curve r(t) = (4 cos(3t), 4 sin(3t), 4t) at the point t = 0 Give your answers…

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