Find dy dx 1 x 1 t 2 y te t2 x cos 3 ty sec 1tproblem

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Problem 2.Finddydx.
Problem 3.Findd(1)x=t3+1, y=t2-t(2)
Problem 4.Find the points on the curve where the tangent is horizontal or vertical.(1)
Section 10.3 Polar CoordinatesP( r , )θθrOpolepolar axisRemarks1.(-r, θ) = (r, θ+π)2.(r, θ) = (r, θ+ 2) wherenis a integer.2
θ
Problem 5.Convert the following points from polar to Cartesian coordinates.(1) (2,-2π/3)(2) (-2,5π/4)(3) (1,5π/2)(4) (2,-7π/6)
Problem 6.The Cartesian coordinates of a point are given. Find polar coordinates(r, θ) of the point, wherer >0 and 0θ <2π.

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