(d) I = √2xy ds_where c is defined by the parametric equations x = 4 cos 0, y = 4 sin 0 between 0 = 0 and 0 = П 3'

Consider the parametric equations for a curve in the xy-plane given by: x = t^3 - 3t y = t^2 - 2 Find the equation of the tangent line to the curve at the point where t = 2.

Eliminate the parameter t from the parametric equationsx =3 +sin t and y = cos t - 2.

Write the parametric equations x = 5 sin² 0, in the given Cartesian form. y = 3sqrt(1-x^2/25) with 0 ≤ x ≤ 5. y = 3 cos²0

Graph the curve with parametric equations  x = sin(t), y = 3 sin(2t), z = sin(3t). Find the total length of this curve correct to four decimal places.

find parametric equation (cartesian) for tagent line to r=cos(2theta) at theta=2

است awat parametric Diffi dy(x) dx x- - 2 Cos (2+) Y= 6 sin (+) السلام

The equation y =1- x² can be described parametricall by x = sin t, y = cos² t. اختر احدى الدجابات True False

Eliminate the parameter in the parametric equations x =7+ sint, y = 2 + sint, for 0sts and describe the curve, indicating its positive orientation. How does this curve differ from the curve x = 7+ sin t, y = 2 + sin t, for 7stsn?

Write an equation of the tangent line to the parametric equation at the given value of t. Please leave the values in exact form