W Show that the curve x = 7 cos(t), y = 2 sin(t) cos(t) has two tangents at (0, 0) and find their equations. (smaller slope) y = y = Sketch the curve. (larger slope) y -2-1/ X شد 1 2 2

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A: The given two lines are  r→(t)=<-2, - 5, - 8> +t <2, - 8, 8> r→(t)= <1, 3, - 4> +…

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A: Given velocity is  v(t) = sin(t) - cos(t)

Q: 30. Determine the equation of the tangent to y= 2+ cos 2x at x

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A: The equation of tangent on the curve f(x,y)= 0, at (a,b) is given by, (y - b) = y'|(a,b) (x - a)…

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A: Given:- 2x3y+4.5y-xy2=9 at point  P=(-1,2)

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Q: Implicit differentiation. Given: 2x+3xy+4y=24 Find in terms of x and y and the tangent line at (1,2)

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Q: 6. Determine the equation of the tangent to f (x) 2х-1 where x = 3 х-2 %3D

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Q: 8 Find an equation for the tangent line to the graph of y = (x° - 9x) at the point (- 3,0). .....…

A: A detailed solution is given below