1 graph each of the following find the range of

Question

1. Graph each of the following. Find the range of angles that trace out the full graph.

Determine and graph the equations of the tangent lines at each relative maximum of r. This example might be helpful

2. Determine whether the following converge.
a. For each of the following use three tests

3. Let z = (√3+??)/2. Using the de Moivre's formula, find (express you answers in e^iθ and a+bi form)

a. z²
b. z³
c. z⁴
d. z⁵
e. z⁶

4. Find the 11th roots of 1; that is all solutions to x¹¹=1 again using de Moivre's formula