C- Find unit vectors tangent and normal to the curves (y=4sine x-1-3cos8) at 8=:

Q: 6. Find the unit vectors that are parallel to the tangent line to the curve 2x3 at the point (2,…

A: The given curve is y=2x33 at the point 2,163. Calculate the unit vector that are parallel tot he…

Q: 7(t) = (3 cos(4t))i + (3 sin(4t))j + (sin(3t)) k at t = 0.

A:

Q: Find the tangent plane to the equation z = 4x² + y² - 2y at the point (2,-4,40) 2= Calculator Check…

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Q: Eliminate the and write an equation of- carve in part (a) Sobely in cartesian coordinates x, y (e)…

A: As asked we shall solve only part (d) and (e).We have to eliminate the variable t and write the…

Q: 2. Let 7(t) = (1, tv2, In(t)). (a) Find 7"(t). (b) Find 7(t) and simplify completely. (c) Find the…

A: Given, r→t=12t2, t2, lnt Used differentiation formulas, ddxxn=nxn-1ddxlnx=1xddxCfx=Cddxfx    C is…

Q: 2) Sketch the curve with the vector equation r(t) = costi- costj+ sin tk. Show the direction of…

A:

Q: Find Components of the Acceleration For the curve defined by T(t) = (e-t cos(t), e' sin(t)) |3D find…

A: To find- For the curve defined by r→t = e-tcost, et sint, find the unit tangent vector, unit normal…

Q: 7. Find the equation for the 'unit tangent vector to the vector-valued function r=. く- I6 Sin(2t),…

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Q: - r(t) = (81²)i + (5t − 2) ƒ + (81³) k at - at t = 7.

A: Please see the below picture for detailed solution.