In Exercises 45–52, use your answers from Exercises 41–44 and the parametric equations given in Exercises 41–44 to find a set of parametric equations for the conic section or the line.


Line: Passes through (−2,4) and (1,7)

In Exercises 49–58, convert each rectangular equation to a polar equation that expresses r in terms of θ.

x² + y² = 16

In Exercises 37–52, perform the indicated operations and write the result in standard form.

√(−8) (√(−3) − √5 )

In Exercises 49–58, convert each rectangular equation to a polar equation that expresses r in terms of θ.

x² + (y + 3)² = 9

In Exercises 53–58, perform the indicated operation(s) and write the result in standard form. (2 + i)² − (3 − i)²

In Exercises 65–68, find all the complex roots. Write roots in polar form with θ in degrees. The complex square roots of 9(cos 30° + i sin 30°)

In Exercises 53–64, use DeMoivre's Theorem to find the indicated power of the complex number. Write answers in rectangular form. [1/2 (cos π/10 + i sin π/10)]⁵