e'y x+y² a) Find the equation of the tangent plane to the surface at the point P(0, -2). Present your answer in the exact form (don't use a calculator to convert your result to the floating- point format). A surface is defined by the following equation: z(x, y) = -

Trace the curve r² = 4cos⁴(theta) tan²(theta).

Verify algabraically whether the parametric equation x(t) = 10-2.5t, y(t) = 1.5t and the rectangular equation y = 6-0.6x represent the same line on a graph

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