Consider the vector function given below. r(t) =   7t, 5 cos(t), 5 sin(t)   (a) Find the unit tangent and unit normal vectors T(t) and N(t). T(t)  = N(t) (b) Use the formula  ?(t) =  |T ′(t)| |r ′(t)| to find the curvature. ?(t) =

Q: 2. C. b. Let (t)= and (u) = At what point P do these two space curves intersect. a. Find the tangent…

A: As per rule I need to solve only first three subparts.

Q: r(t) = (3√2t, e³t, e-3t) (a) Find the unit tangent and unit normal vectors T(t) and N(t). 3√2e³x +…

A: Question (1) (a) We need to find the unit tangent and unit normal vector T(t) and N(t) of the vector…

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Q: Suppose z is implicitly given as a function of x and y, according to The equation: y−zx3=1−yz2 The…

A: Suppose z is implicitly given as a function of x and y, according to The equation: y−zx3=1−yz2 The…

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Q: 3. Consider the following helix with vector equation 7 (t) = 2 cos (t) 7 (t) 7 + tỉ + 2 sin (a)…

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Q: Consider the following vector function. r(t) = (5√2t, est, e-st) (a) Find the unit tangent and unit…

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Q: Consider the vector function given below. r(t) = (7t, 5 cos(t), 5 sin(t)) (a) Find the unit tangent…

A: Given:              r(t)=< 7t , 5cost , 5sint >⇒      r'(t) =< 7, -5sin(t) , 5cos(t) >⇒…

Q: Write a formula for curvature in terms r1(t) and t1(t)

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A: In the given question given that f(x) is a bounded real valued function on [a,b] then we have to…

Q: r(t) = (t cos(t), t sin(t), t)

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Q: Consider the following vector function. r(t) = (2√/2t,6²², 6-2t) (a) Find the unit tangent and unit…

A: Given:  The vector function:  rt = 22t, e2t, e-2t To find: Unit tangent and unit normal vectors.

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A: Explained below

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A: Given that it needs 5meters of stick to make a picture frame.

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A: Since you have posted a multi subparts question according to guidelines I will solve first…

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Q: Find the curvature correctly

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Q: Find the unit tangent vector of the given curve. r(t) = (6 sin 39t) i + (6 cos ³9t)j O A. T(t) = (6…

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Q: (a) Find the unit tangent and unit normal vectors T(t) and N(t). (b) Use Formula 9 to find the…

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Q: (i) = 5. If r(t) = tcostī + tsintī+3tk, Answer each of the following: Find an equation of the…

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Q: DETAILS SCALCET9 13.XP.2.009.MI. Find the unit tangent vector T(t) at the point with the given value…

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Q: 2. Write all formula's you have learned to calculate curvature.

A: We have to write all formula for curvature.