Consider the curve given by f(x)= 2x' +3x-36x+4 . Find the coordinates of the stationary points. 6. (i) (ii) Determine the nature of the stationary points. (iii) Find the point of inflexion and determine its type. Sketch the graph of the curve y f(x) for -5

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A: Given: x=3+2t y=-12-6t            - ∞ < t < ∞ To find: curve generated by given functions.

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A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

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Q: Q3: Find equations of all lines having slope (-1) that are tangent to the curve y = 1/(1-x)

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Q: [8] Find y' of e'sinx=y/x

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Q: 11. The point (9, 16- A. (3,4)

A: y=f(x)after transformation y=f(x)(x,y)→(x , y)(9,16)→(9 , 16)=(9,4)

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A: Given: y=2x+kat 2 distinct points

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Q: Find the point on the curve g(x) = x² – 2 that is closest to the point (3,-2)

A: We can represent all the points on the curveg(x) = x2-2 as (x, x2-2)Now we will use the distance…