Find the curvature and the radius of curvature at the stated point. NOTE: Enter the exact, simplified answers. K= π r(t) = 11 cos(t)i + 9 sin(t)j + 2tk; t = 2 p=

Q: Find the moving trihedral and the curvature at any point of R(t) = (t²,– cos 8t, sin 8t).

A: Moving trihedral are three unit vectors of curve  Unit tangent vector  Unit normal vector  binomial…

Q: Consider the curve parametrized by a = e-sin(0) and y = ecos(8) for 0 ≤ 0 < 2π. At what points (x,…

A: The parametrized curve x=e-sinθ and y=ecosθ for 0≤θ&lt;2π.

Q: Let r(t) = = 2t 1+12 1+12 Reparametrize by arclength, and use trigonometric identities to simplify…

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Q: What curves are represented by the following? Sketch them. [cos t, sin 2t, 0]

A: To Sketch: The curves represented by the parametric form [cos t, sin2t, 0].

Q: 1. Let C be a curve with a vector equation r(t) = (4 cos(t), -4 sin(t),-3t) where 0<t<÷. What is the…

A: Since you have asked multiple question, as per our guidelines we are supposed to answer only one…

Q: Find the equation for the tangent line for the following parametric equation, do not change to…

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Q: Find an equation for the circle of curvature of the curve r(t) = 8t i + sin(5t) ja

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Q: .. Find the radius of curvature of the following curve at the given point. Then write the equation…

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Q: Find the exact length of the curve x =t-2sint, y =1-2 cost 0<t<4r.

A: The answer of the question is given below.

Q: Select the graph of the function y = [2(x– 1)]²+1. Compare the graph of this function with the graph…

A: We need to compare the two graphs.

Q: Consider the following parametric curve. Use the information to answer parts ​(a) and ​(b).…

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Q: Find the length of the curve. r(t) (7t, 3 cos t, 3 sin t), -2 sts 2

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Q: 2. Find the radius of curvature for the curve r*cos20 %3D 1.

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Q: Oues. find cof y³ty = x+6x 3. ( please Flugthe Valle of y alse, after taking the duivatlbe]

A: Given an equation, y3+y=x2+6x To find the derivative of the above equation.

Q: C: x² + 4y² = 4; z = 1 R(t) = (2 cost, sint, 1), t = [0, 2π]

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Q: Find the curvature correctly

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Q: Find the curvature K of the curve. r(t) = 4 cos 2nti + 4 sin 2ntj K.

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Q: Consider the following parametric curve. Use the information to answer parts (a) and (b). π x =…

A: Solution :- given that                   x = cost , y = 9 sint and t = -(π/2)                Now we…

Q: Find the exact length of the curve x =t-2 sint, y =1-2 cost 0<t<4n

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