Assignment 6

due Friday, Mar. 1

Note: An entry such as ``2.1.6'' means question 6 in section 2.1 of Boyce and DiPrima.

3.4.11 Solution

3.4.19 Solution

3.4.25 Solution

E.1      Compute the following in the form a + b i:

(a)      (2+5i)(6-3i)

(b)      (2+5i)/(5-4i)

(c)      (2+5i)⁴

Solution

E.2      Compute the following in polar form $$r {\rm e}^{i\theta}$$:

(a)      $$(2-2i)/(1+\sqrt{3} i)$$

(b)      $$(1-\sqrt{3} i)^{100}$$

Solution