3. Consider the parametric curve x = sin 2t, y = − cos 2t for −π/4...

3. Consider the parametric curve x = sin 2t, y = − cos 2t for −π/4 ≤ t ≤ π/4.

(a) (2 pts) Find the Cartesian form of the curve.

(b) (3 pts) Sketch the curve. Label the starting point and ending point, and draw an
arrow on the curve to indicate the direction of travel.

(c) (5 pts) Find an equation for the curve’s tangent line at the point
√2/2, −√2/2

.

Expert Solution

milcah answered 2 years ago

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