Complex numbers Questions and Answers

5 Find the indicated sum 15 a 4 0 7 1 k 1 14 c 8 0 8 3 k 0 infinity e 4 0 7 1 k 1 25 b 5 0 85 1 k 7 30 d 5 1 1 k k 11 infinity f 3 1 35 k 1 k 4

Sketch the graph of a function that has the following properties f is discontinuous at 3 but continuous from the left at 3 and continuous elswhere

The general equation of the circle is x h y k r2 center h k radius r Select one True False

Graph g x In x 2 Write the equation of the asymptote in line form For example y 4

Evaluate log 12 log 6 Round to the nearest hundredth

Find a g of a geometric sequence if the first few terms of the sequence are given by 1 3 9 27 Select one a 2 187 b 3 405 O c 1 934 OO d 7 880

Which expression s is are equivalent to log100 Select one or more a In100 In10 b In 100 10 C 2 d In 100 In10 e In 100 In10

harmacist wishes to r tain the desired 3 so

K Jonathon and Sam and the river s curr The speed at whi

Identify the fractions on the number line Assume all marks are equally spaced a b C d 2 c b 1 0 a d 2

e slope intercept form ope intercept form of for answer se

D Determine an equation for the quadratic function given below 10 points 3 0 5 5 0 2 0 1 2 E What is the vertex of your parabola 5 points F What is the range of your parabola Give your answer in intenral notati 5

Find the values of x and y based upon the values for the angles in the following figure The measure of angle 1 is 33x 32y the measure of angle 2 is 7x 5y the measure of angle 3 is 10x 3y and the measure of angle 4 is 33x 45y Find the values of x and y x Type an integer or a fraction 2 4

Suppose that you received an unexpected inheritance of 37 600 You have decided to invest the money by placing some of the money in stocks that pay 6 4 and the rest in bonds that pay 8 How much should you place in each investment in order to earn 7 or 2632 annually I should be invested in stocks Type an integer or a decimal

5 2 points Find the quotient Q z and remainder R z using synthetic division 25 32 6 2 1 6 4 points Find the quotient Q x and remainder R z using long division 2 2 2 x 2 2 2

2 What values do you find for x when you solve the equati x 4 x 2 x 3 equals 0 by factoring A 1 2 and 1 2 B 1 2 and 1 C 2 and 1 2 D 2 and 2

Find the Exact Value cos 2 x 3sin 4 x Please show work Please see attached image nor

Question 1 Solve the equation for 2 in C 2 8 7i z 4 28i 0 The roots are Question 2 Solve the equation f r in C x5 32i 0 The roots are

Gina rented a moon walk for 5 hours at a total cost of 200 Lori rented the same moon walk for 3 hours at a total cost of 140 The cost of renting is based upon a flat set up fee plus a rental rate per hour How much is the set up fee What is the hourly rental fee The set up fee is SODE

What is one solution to cos x 1 sin x for the interval 0 x 360 Use degrees

Select one O b a 04 04 02 42 circle at represents how radians are measured on a circle

G Directions Download and print the PDF worksheet follow the activity Puzzle 1 Directions Using the digits 1 to 9 fill in the boxes to produce log that log log Produ 0 0 Produ

domain of the linear function b What is a single filer s tax bill if adjusted gross income is 10 000 c Which variable is independent and which is dependent d Graph the linear function over the tax bill of a single person whose adjusted gross income is x dollars for income between 4400 and 17 600 inclusive a What is the implied domain specified in part a e What is a single filer s adjusted gross income if the tax bill is 1240 a The domain is x 4400 x 17600 Type a compound inequality b A single filer s tax bill is 1560 if their adjusted gross income is 10 000 c The independent variable is adjusted gross income x The dependent variable is tax bill T d Choose the graph of the function A AT 4000 18000 e A single filer s adjusted gross income is B AT 4000 0 0 18000 if their tax bill is 1240 Q O C 18000 Ax 0 4000 Q O D Ax 18000 0 4000 Q Q E

599 Quiz 3 6 Write the first four terms of the ge

Find a linear function f such that f 3 3 and f 4 5 Then find f 3 The linear function is f x Type an expression using x as the variable

x 4 81 Find value s of x Select one a x 3 O b x 9 O c x 3 Od x 3

Find the inverse of the function y x 1 2 Where the domain is x 1 Select one a y x 5 y x 4x 5 b O c y x 5 d y x 4x 5

9 Find the product m 9 2m 6m 8 Answer 11 Find the product 4s 9 3s 4 10 Find the product m 7 9m 1 Answer 12 Find the product 2p 5

A function is defined by f x x 2 X where x 0 Find f 1 x Select one O a 2 x 1 b 2 OC d x 1 x 1 2x x 1

Select all that are equal to 64 6 1 6 1 0 AND 1 6 21 21 9 6 1 6

Choose the values of x where the graph crosses the x axis for y 3 cos 3x Select one or more a S 18 O b 11 18 C 7x 9

Solve the following equation for x on the interval 0 2 2cos x 3cosx 1 0 Select one or more a 0 O b 4 3 C T O d 3

6 Let A 1 0 1 2 1 0 1 2 2 3 2 DONN and let b 0 1 0 a Find the rref A b Find the rank of A c Find a such that b is in the column space of A

0 13 Correct ur answer as either an exact expression or a decimal approximation 4 log 4 x 1 3 rounded to log 4 x ad If there is more than one solution separate your answers with a comma

expressions completely a 9x 21 c x 2x 48 b 2y 12y 7y

Use the hypotenuse adjacent and opposite sides and the reference angle to solve for x and y in the given right triangle Solve for the x and y in the given triangle y 90 10 27

Marcos is observing the launch of a Space X rocket from the command center When he first sees the rocket the angle of elevation to it is 12 degrees Later the angle of elevation is 76 degrees If the command center is 1 mile From the launch pad how far did the rocket travel while Marcos was watching Round to the nearest tenth of a nile

certain polynomial p x in U has p x 1 1 2 Find p x s

4 Find 2 different values that would go in the blanks to make a factorable quadratic Then provide the factors 2x 3x

sketch a degree 3 polynomial with 1 turning point and an 0 or explain why it is impossible

Let f z 1 z a What is the image of the line y 2 under f b Show that w 1 z maps the interior of the unit circle in the first quadrant to the exterior of the unit circle in the fourth quadrant

A tank holds 1000 gallons of water which drains from the bottom of the tank in half an hour The values in the table show the volume V of water remaining in the tank in gallons after t minutes min 5 10 15 20 25 30 V gal 682 443 260 104 26 0 a If P is the point 15 260 on the graph of V find the slopes of the secant lines PQ when Q is the point on the graph with the following values Round your answers to one decimal place slope Q 5 682 10 443 20 104 25 26 30 0 b Estimate the slope of the tangent line at P by averaging the slopes of two adjacent secant lines Round your answer to one decimal place

U X Reflection along X axis Vicepression by 2 x 1 2 LEFF 2 UP S 0 2 F43 mby 4 2 1 1 1 010 1 11411 194 2 0 de 2 2 11 05 010 1 015 21 2 8 6 4 2 B 210 1105 01 2 6 2 6 NO 2 6 sub 2 From X 4 2 3 05 2 Ast 6 3 and sy 4 3 3 4 5 1 215 114 15 013

mework C Solve the following inequality Write t 4 2x 7 2 4x 2

2 1 Homework K Qu Determine the intervals of the doma continuous Select the correct choice below and box to complete your choice

Find the steady periodic solution Xsp t C cos wt a of the given equation mx cx kx F t with periodic forcing function F t of frequency w Then graph Xsp t together with for comparison the adjusted F t function mo F t x 3x 33x 8 cos 5t Xsp t

The Pinewood Furniture Company produces chairs and tables from two resources labor and wood The company has 12 hours of labor and 16 pounds of wood available each day Demand for chairs is limited to 3 per day Each chair requires 2 hours of labor and 4 pounds of wood to produce while a table requires 3 hours of labor and 2 pounds of wood The profit derived from each chair is 40 and from each table 33 The company wants to determine the number of chairs and tables to produce each day to maximize profit 10 points X1 of chairs X2 of tables Max Z 40 X1 33 X2 2 X1 3 X2 12 hrs labor 4 X1 2 X2 16 lbs wood X1 3 chairs per day Xi 0

3 Solve the following thi 17 4x 3 What is the solution s

mework Qu Solve the following inequality Write the s x 0 x 0 7x 3 2 Select the correct choice below and

point Let X 9 24 6 4 5 Give an example of two 2 x 2 matrices A and B neither of which is the identy matrix I such that AB X B