# Complex numbers Questions and Answers

Algebra

Complex numbersRationalize the denominator 6 5 6 Use sqrt to input a square root into WeBWork For example sqrt 5 represents 5 Make sure to simplify all square roots completel Make sure your fraction is completely reduced a well

Algebra

Complex numbersTrue or false for all real numbers x if x 1 then 2x 3 2 is a proposition True False

Algebra

Complex numbersLet u 5 2 3 v 0 1 5 and w 2 6 5 Compute the indicated vectors v 7 25 5 a u v b u v c u v w 7 25 5 d w w v 21 6 31 000 e w w 0 0 0 X X

Algebra

Complex numbersFactor the following polynemial given that it has a zero at 5 with multiplicity 2 x 4 1x 3 57x 3 5x 700

Algebra

Complex numbersAn amount A is initially 13 To find next year s amount we multiply this year s amount by 6 Find a formula that gives the amount A after t years

Algebra

Complex numbersA a b c d e f g x y z B c r a z y Find the following See Example 1 a n A b n B c n ANB d n A U B

Algebra

Complex numbersA television camera is positioned 4 000 ft from the base of a rocket launching pad The angle of elevation of the camera has to change at the correct rate in order to keep the rocket in sight Also the mechanism f focusing the camera has to take into account the increasing distance from the camera to the rising rocket Let s assume the rocket rises vertically and its speed is 600 ft s when it has risen 3 000 ft a How fast in ft s is the distance from the television camera to the rocket changing at that moment ft s b If the television camera is always kept aimed at the rocket how fast in rad s is the camera s angle of elevation changing at that same moment rad s

Algebra

Complex numbersraph of a polynomial function shows the lef ing polynomials represents the function de 1 4 x 6 3x 5 4x 4 5x 3 4x 2 2x 3

Algebra

Complex numbers5 The table shows the total weight of shrimp a fisherman catches each week Time weeks Weight pounds 2 3 5 6 110 170 500 530 What is the average rate of change from Week 2 to 5 in pounds per week

Algebra

Complex numbersUse transformations of the graph of f x x2 to determine the graph of the given function h x x 5 2