Question 12 Ñ(0) = B(0) = ♥ Find the Tangent, Normal and Binormal vectors (T, Ñ and B) for the curve r(t) = (4 cos(5t), 4 sin(5t), 4t) at the point t = 0 7(0) = Submit Question < >

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A: The given parametric curve is x=3sint, y=3cost, z=4. (a).  To draw the given curve rt=3sint, 3cost,…

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A: Link between line and plane.

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A: solution

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A: Since you have posted multiple questions i can do first question as per our company guidelines…

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A: Given fx,y,z=4z-x2and point P0 4,0,4

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A: Here, the angle is Here, given that,

Q: Question 1 described by the vector function r(t) = (4t² ln t, ¹-4, -2e-3t). 2 a) Consider the curve…

A: Given: Vector function rt=4t2lnt, t-42, -2e-3t. a. To find the integral ∫rtdt. b. To find the…

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Q: Consider the parametric curve given by x (t) y(t) = t³ + 3t² = t² + t } te [-π, 5/4]. (i) Find the…

A: Please upload the remaining questions separately. The question can be solved as follows. The values…

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Q: (cot. 1)dr sin I cot z/3 cot?

A: Substitute t2=3cot2x-5 So, tdt=-3sin2xcotx dx and cot2x=t2+53 cot2xdxsin2cotx=-13t dtt2+53dxsin2x…

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A: As per guideline we have to do only one question

Q: The parametric equations of a curve is x = 3 sin t, y=3 cos t and z = 4. (a) Sketch the curve r(t)…

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