Find the Unit Tangent (T (t)) b. Unit Normal Vectors (N(t)) c. Find Curvature (k (t)) & (k (3),t=3) rit)=(-cos (3x³), 2x² sim(3x) 1,2t²,

Q: Show all steps and answers clearly, no short cut, especially how to find T'(t)

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Q: At how many point(s) does the helix with vector equation r(t) : (cos t, sin t, t) intersect the…

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Q: Suppose f(x, y) = sin( (a) Vf(x, y) = = (b) Vƒ(3, π) = 2y x T 2y 2y 2y cos cos 2) Con (2) 200m (20 -…

A: Given that , fx,y=sin2yx and u is the unit vector in the direction of 1,1.

Q: 3. Use grad h(-3,4)=5ī +3j and h(-3,4)=10 to answer the following questions. a) Find the…

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Q: Let r(t) = (-3t³-4, -3e¹, 5 sin( - 3t)) Find the unit tangent vector T' (t) at the point t = 0 T(0)…

A: r(t)=<-3t3-4, -3e4t, -5Sin(-3t) >

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A: Given that r→t=32t,e3t,e-3t. Find the value of r→'t and r'→'t.…

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Q: Use the formula x(x) = = K(x) = y = 3x4 |f"(x)| [1 + (²²(x))²] ¹ to find the curvature.

A: Given information:Function: To find:The curvature of the function .Concept used:The curvature of a…

Q: Find an expression for a unit vector normal, no, to the surface x = (4 – cos (v)) cos (u), y = (4 –…

A: The complete solutions are given below

Q: 4. Find the unit tangent vector T(t) to the curve r(t) = (In(cos t), cost, sin t) at time t. (a)…

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Q: r(t) = (4+t)i+(9+ln(cos t))k, -pi/2 < t < pi/2 Find principal unit  normal vector N for the curve…

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Q: Consider the following vector function. - (46, ½-12², 1²) r(t): (a) Find the unit tangent and unit…

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