# Complex Numbers - Multiplying Brackets, Simplifying & Model Rocket Height

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1. (a) Perform the indicated operation and express the result in the form a + bi.

(1 - i) (3 + i).

(b) Simplify. i15

(c) x - 2y - 7 = 3x i + 5yi - 10 i

2. A model rocket is launched with an initial velocity of 100 feet per second from the top of a hill which is 20 feet high. Determine the time, t , that the rocket reaches its maximum height and find the maximum height.

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#### Solution Preview

1. (a) Perform the indicated operation and express the result in the form a + bi.

(1 - i) (3 + i).

Sol: Expanding original expression to get ...

#### Solution Summary

The solution gives detailed steps on performing basic operations to complex numbers. Attached as Word.

$2.49