Complex numbers Questions and Answers

Express the given function in terms of the unit step function and find the Laplace transform f t 1 if 0 t 2 3t if t 2

e elimination to solve the system 6x 4y 2 3x 2y 4 Points 0 of ect the correct choice below and if necessary fill in the answer box to complete your ch A The solution of the system is Simplify your answer Type an ordered pair B There are infinitely many solutions C There is no solution

Question 12 Identify the hole if possible found in At an x value of 0

Give the domain of k z 3 in interval notation

What type of polar curve is the polar equation r 53 sin 0 Orose O cardiod Olemniscate

It takes 45 minutes for Wise to finish the 60 item test How long will it take him to finish 100 item test

Find the quotient and remainder if there is one If there is a remainder express it in the form T a 4 9a 41a 27a 30a 15 a 4

For the quadrant in which the following point is located determine which of the functions are positive 6 8

Question 3 Find the distance between the two points shown below Round your answer to 2 decimal places A Distance B o

oblem of the Month ections g the grid below color it with 4 blue squares own squares so that NO TWO SQUARES of the fontally or diagonally

Choose the partially colored map that could be completed b with a common border have the same color A Question 1 GA 14 1 1 2

Picture Frame T Sam needs to build a picture frame for a painting that he created during art class The picture with the frame has an area of 375 in 2 and the length of the frame needs to be 10 more inches than its width What are the dimensions of the picture frame

A friend has a 85 average before the final for a course That score includes everything but the final which counts for 20 of the course grade What is the best course grade your friend can earn What is the minnium score your friend would need on the final to earn 75 for the course Give answers accurate to at least on decimal place

E Identify the LCD of the rational expressions in the equation x x 3 1 x 3 x

Converting a decimal percentage to a fraction Write 57 5 as a fraction in simplest form

y A sign of the leading coefficient O It is not possible to determine the sign of the leading coefficient based on the graph O The sign of the leading coefficient is positive because the end behavior is from an equation of od degree and positive leading coefficient O The sign of the leading coefficient is negative because the end behavior is from an equation of oc degree and negative leading coefficient B the degree of the function O It is not possible to determine anything about the degree of the function based on the graph O The degree of the leading term is odd because the end behavior is going in opposite directions O The degree of the leading term is even because the end behavior is going in opposite directions C the number of real zeros This function has 4 real zeros because it changes direction 4 times This function has 5 real zeror hour

7 Simplify the following complex number without changing the polar form and leave your answer in polar form 2 4 32 427

The DIAMETER of a circle is 12 centimeters Enter the area of the circle in 1 po centimeters Round your answer to the nearest hundredth

State how many complex and real zeros the function has f x x 3 x 10

Simplify the complex rational expression using the least common denomin 3 m 4 m 2 15 m 20 m 2

Express the following interval as an inequality in terms of x 2 6

K A house 20 m by S a Find the ar b Find the ar a The area of the

1 O O Choose the correct genus of the ol A spool of thread O A genus 1 OB genus 2 OC genus 3 OD genus 0

blank 11 3 m 3 Volume in 1 10 1 m your answer Type an integer or a d

Derek plans to hang a shelf in his attic The walls are sloped and meet at the peak point A an shown in the figure below where wall All is 9 feet long and wall AC is 11 feet long A hole for shelf DE is drilled on wall AB 4 feet up the wall so that 80 4 Since Derek wants the shelf to be parallel to floor BC where should he drill hole E B 400 feet from C O489 feet from C 5 00 feet from C O611 feet from C E

2 Use the remainder theroem to see if x 2 is a factor of f x 3x4 6x 5x 10 2 points 3 g x x 8x 11x 20 a List the possible rational zeros 2 points b From your list find a zero and use synthetic division with it to find the remain factors of g x 3 points Remaining Factors c Rewrite g x in its completely factored form

y sin x and ske Identify five points or

Suppose parametric equations for the line segment between 1 8 and 5 8 have the form a t a bt ly t c dt If the parametric curve starts at 1 8 when t 0 and ends at 5 8 at t 1 then find a b c and d a b C N 11

Tammy Smith deposits 5 000 in First Internet Bank s 5 year CD which pays 5 22 compounded monthly a How much will she have in the account at the end of 5 years b How much interest did she earn

Perform the following division find the following quotient a 4 b 2 ab 2 ab 2

Perform the operation indicated Sim 5x 6 2x 5 x 1 2x 5 4x 5

A polynomial equation has roots at x 1 and x 21 What is the minimum degree of the polynomial equation assuming all coefficients are real 6 4

Is the set of ODD numbers closed under the operation of ADDITION Examples 5 3 8 Yes it is closed No it is not closed 11 5 16 9 7 16 11 13 2

nd Proportion Solve the proportion equation x 24 9 8 x

Rationalize the denominator and simplify if possible 75 O UN 2 of 5 02 5 04

Which polynomial function has a y intercept at y 2 and intercepts at Question 32 2 2 points e

Given y 1 6 5 find the following information Enter intercepts as ordered pairs Vertex y intercept I intercepts Domain Range Equation of the Axis of Symmetry

tions of the polynomial equation x 2x 9x 18x 0 0 X 2 X 3 1 X 12 X 13 1 2 1 3 X 0 X 2 A 31 2 tion 27 2 2 points function x 2x 2x 3 has what type of symmetry

x 2 1 2 1 0 1 Ox i Ox Question 35 2 2 points Solve the inequality for x 3x 350 Ox511 equation for x 15x11 22 1 15x211 Question 36 2 2 points Saved Final Exam Semest e

3 Find the centroid for the region bounded by the curves y cosx y 0 where 4pts 4

given graph to determine the function s domain range 2 intercept s and y intercept Use interva notation for interval solutions If multiple solutions exist use a comma separated list to enter the solutions If a solution does not exist enter DNE 10 9876 5 3 2 1 The y intercept is y The 2 intercepts are Domain 8 71 shi C H 2 3 4 5 67 7 8 890 9 10 1 2 3 4 5 6 7 8 9 10

Lesson Cool Down How Often Is It Calculated A savings account pays a 3 nominal annual interest rate and has a balance of 1 000 Any interest earned is deposited into the account and no further deposits or withdrawals are made 1 Write an expression that represents the balance in one year if interest is compounded annually 2 If interest is compounded semi annually every six months what interest rate would be used for each calculation 3 If interest is compounded semi annually which expression represents the account balance in t years a 1 000 1 0 015 b 1 000 1 0 015 2 c 1 000 1 0 015 d 1 000 1 0 03

Use the graph of f shown in the figure below 10 5 y 10t 5 5 10 5 10 X

If y varies as x and y 5 when x 4 find y when x 12

C b a A 8 C B Show Transcribed Text Use the Law of Cosines to determine the ndicated angle theta Assume a 64 01 b

Find the Inverse of the graph of y 27x 2 Oy x 2 3 Oy 2 3 y 27x 2 y 3 x 2

Find the Inverse of f x x 3 x20 f x x 3 x 3 x f x x 3 Inverse is not a function

Which of the polynomials below shows the same expression completely factored 00 20 6 ow x

Given h x 4x 10 calculate h 2 18 03 02

b 171y 3 x5 Solve each of the following equations for x 171 3 55