1. For the parametric equations: x = 4t3, y= 2 +60t – 8t?, find: a) All values of t at which the tangent line has slope 1. d²y b) dx x2

Given the parametric curve. x = 5t2 – 6t + 4 y = t2 + 6t – 1 Please find 1) The slope of the curve 2) Find the concavity of the curve. 3) Find the points at which the tangent line of the curve is horizontal.

Find the parametric equation of the line segment from A(1,2,3) to B(5.0, 1), where for t = 0 you are at point A and for t= 1 at point B..

Sketch the curve r = 3 sin 20. a b Show that its Cartesian equation is (x² +y² ) =36x²y².<