(a) Find dy dx (b) Find || dy dx d²y dx² expressed as a function of t for the given the parametric equations: ď²y dr² expressed as a function of t. x Y = 9t+Int 8t - Int ||||

Q: Find X || d'y dx² t' Od²y dr² = for the following parametric functions. y = √t 43/2 4 015/2

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Q: Consider the parametric curve given by (a) Find dy/dx and d²y/dx² in terms of t. dy/dx = |d²y/dx² =…

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Q: (d) § (Vx+sinx) dx

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Q: osen y

A: Is it sen y =x

Q: d² y dx² Linear Equatoin/ variatoin parametee + y = tan x

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Q: 2. Consider the parametric curve r = t + 1, y = t - t. dy (a) Find d.r dy (b) Find da?

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Q: Let x = 3t², y = −2t³ + 18t². dy Determine as a function of t, then find the slope of the parametric…

A: Let To determine  as a function of t, then to find the slope of the parametriccurve at .To…

Q: Find the slope and concavity of the parametric curve at the point t = (1/2), x(t) = (1/2)t² -1,…

A: To find the slope of the curve at t = 1/2, we need to find the derivative of y with respect to x:…

Q: (c) Find the value of √a²-x² Sa giving your answer in terms of a. 1+ 2(x + y) x² + y² dx dy,

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Q: Sketch the curve given by the parametric equations x= t³ - 1 and y= t² + t. Construct a table with…

A: Given problem:- Sketch the curve given by the parametric equations x= t3 - 1 and y= t2 + t.…

Q: Graph the parametric equations below (x(t) = t - sint ly(t) = 1- cost

A: The given parametric equations are: xt=t-sin tyt=1-cos t Find the value of x and y for multiple…

Q: dy Consider the parametric equations x = e' -1 and y=1-t. Which of the following represents dx 1-12…

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Q: (ii) Find for the parametric equations dx2 dy x =t – sint, y = 1 – cost

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Q: - 1. Evaluate the x for parametric equations x = 3t² – 6t a y = 3t³ + 3t with respect to the…

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