Functions Questions and Answers

A designer has designed different tops pants and jackets to create outfits How many differ outfits can the models wear if she has designed the following pieces four tops nine pants three jackets There are a total of different outfits CLE

Before you begin your thesis statement or any writing for your analysis essay complete this prewriting chart which will help guide you through the analysis process To complete this assignment you should select ONE video from the 5 posted in the discussion forum This one video will be the one that you will analyze in order to complete an analysessay This prewriting chart assignment will help you organize your thoughts about your selected video The chart shown below is an example of what you will do when completing your own chart

1 1 point Find an example of u v w R to show that the cross product is not associative i e find an instance where ux v x wux v xw

Write the numeral in the Babylonian numeration system 0000 199 ADDDAAA wwwwwwwwwwww wwwwwwvY A DDDDDDDDDDDD

Two brothers Steven and Michael each inherit 36000 Steven invests his inheritance in a savings account with an annual return of 3 2 while Michael invests his inheritance in a CD paying 4 2 annually How much more money than Steven does Michael have after 1 year Answer How to enter your answer opens in new window Keypad

Note In roster form the order in which the elements are listed is immaterial Thus the above set can also be represented as 1 3 7 21 2 6 14 42 b The set of all vowels in the English alphabet is a e i o u c The set of odd natural numbers is represented by 1 3 5 The dots tell us that the list of odd numbers continue indefinitely Note It may be noted that while writing the set in roster form an element is not generally repeated i e all the elements are taken as distinct For example the set of letters forming the word SCHOOL is S C H O L or H O L C S Here the order of listing elements has no relevance ii In set builder form all the elements of a set possess a single common property which is not possessed by any element outside the set For example in the set a e i o u all the elements possess a common property namely each of them is a vowel in the English alphabet and no other letter possess this property Denoting this set by V we write P V x x is a vowel in English alphabet It may be observed that we describe the element of the set by using a symbol x any other symbol like the letters y z etc could be used which is followed by a colon After the sign of colon we write the characteristic property possessed by the elements of the set and then enclose the whole description within braces The above description of the set V is read as the set of all x such that x is a vowel of the English alphabet In this description the braces stand for the set of all the colon stands for such that For example the set A x x is a natural number and 3 x 10 is read as the set of all x such that x is a natural number and x lies between 3 and 10 Hence the numbers 4 5 6 7 8 and 9 are the elements of the set A If we denote the sets described in a b and c above in roster form by A B C respectively then A B C can also be represented in set builder form as follows A x x is a natural number which divides 42 B y y is a vowel in the English alphabet C is an odd natural number Example 1 Write the solution set of the equation x x 2 0 in roster form Solution The given equation can be written as x 1 x 2 0 i e x 1 2 Therefore the solution set of the given equation can be written in roster form as 1 2 Example 2 Write the set x x is a positive integer and x 40 in the roster form

Change the number to base ten 325 1

9 points Solve the Bernoulli equation xy xy Obtain an explicit solution dx

Select ALL statements below that are part of a CORRECT list of steps when your choices are read in order top to bottom for the Clown to act out the computation 3 4 6 Start on 3 Start on 3 Face left and walk forward 4 steps Face left and walk backward 4 steps Face right and walk forward 4 steps Face right and walk backward 4 steps Face right and walk forward 6 steps Face right and walk backward 6 steps Face left and walk forward 6 steps Face left and walk backward 6 steps They end on 7 They end on 5 They end on 1

Demand for the first six periods are shown below The weights are 0 1 0 3 and 0 6 where 0 6 is applied to the most recent period Compute a three period weighted moving average forecast for period seven That is F7 Period Demand 1 2 3 4 5 6 1 976 2 084 2 192 2 292 2 318 2 345 Do not round intermediate calculations Round your final answer to a whole number Your Answer

3 10 Given that the general solution to the differential equation y y 6y 0 is y C e x c e 2x give the solution to the initial value problem y 6y 0 y 0 0 y 0 5

4 12 Solve the initial value problem 3exdy2e 1 dx y 0 2 Give an explicit solution

Demand for periods 1 4 are shown below The forecast for period one is 1 010 Alpha is 0 23 Compute the simple exponential smoothing forecast for period five That is F5 Period Demand 1 2 3 4 1 000 1 012 1 035 1 047 Do not round intermediate calculations Round your final answer to a whole number Your Answer

Demand for the first six periods is as shown below Compute a four period simple moving average forecast for period seven That is F7 Period Actual 1 2 3 4 5 6 1 992 2 004 2 118 2 244 2 308 2 363 Round your answer to a whole number Your Answer

A wrapping paper company produced 4 752 rolls of red paper one day Labor cost was 288 material cost was 60 and overhead was 395 Determine the multifactor productivity Round your answer to two decimal points Your Answer

years and to have a residual value of 100 000 Zeta Manufacturing uses the straight line method to depreciate its machinery Zeta Manufacturing used the machine for six years and sold it on January 1 2026 for 375 000 Read the requirements 1 Compute accumulated depreciation on the machine at January 1 2026 same as December 31 2025 The accumulated depreciation is Requirements 1 Compute accumulated depreciation on the machine at January 1 2026 same as December 31 2025 2 Record the sale of the machine on January 1 2026 X

assume that on September 30 2020 LuxAir an international airline based in Germany purchased a Jumbo aircraft at a cost 40 000 000 is the symbol for the euro LuxAir expects the plane to remain useful for five years 5 000 000 miles and to have a esidual value of 5 500 000 LuxAir will fly the plane 400 000 miles during the remainder of 2020 Read the requirements a Compute LuxAir s depreciation on the plane for the year ended December 31 2020 using the straight line method The depreciation on the plane for the year ended December 31 2020 using the straight line method is b Compute LuxAir s depreciation on the plane for the year ended December 31 2020 using the units of production method Do not round intermediary calculations Only round the amount you input in the cell to the nearest whole number The depreciation on the plane for the year ended December 31 2020 using the UOPmethod is Requirements Compute LuxAir s depreciation on the plane for the year ended December 31 2020 using the following methods a Straight line b Units of production c Double declining balance Which method would produce the highest net income for 2020 Which method produces the lowest net income X 1 725 000

Jaipur Date 23 Feb 2023 Respected sir madam With due Respect I beg to say that I am a student of class 8th in your school I am not feeling well today and also have some weakness Hence I request you to please grant me two days leave I hope you will consider my application I will definitely try to remain present after 2 days Thanking you Yours obediently Name Neeraj Class 8th Roll No 101 Applicationsmat

The quantity R of rice in billions of bushels that rice suppliers in a certain country are willing to produce in a year and offer for sale at a price P in dollars per bushel is determined by the relation The quantity 7 of rice in billions of bushels that rice consumers are willing to purchase in a year at price P is determined by the relation The equilibrium price is the price at which the quantity supplied is the same as the quantity demanded Find the equilibrium price for rice Give an exact answer Use symbolic notation and fractions where needed equilibrium price dollars per bushel

Let A 1 4 7 and B 2 7 Compute the Cartesian product A x B Enter your answer as a list of ordered pairs separated by commas Answer A x B 2

The graph of f is given State the numbers at which f is not differentiable Enter your answers as a comma separated list y X AJ 4 2 5 4 0 Enhanced Feedback X X

2 5 If f x 3x 6 and g x x z 6 identify the rule and domain for

3 20 points I am the only toolkit function that has a single number for the range Which function am I Square Root Function Linear Function Cubic Function Absolute Value Function Logarithmic Function Exponential Function Sine Function O Constant Linear Function Rational Function Quadratic Function

uniformly at 8 m s determine the magnitude of it acceleration at this instant 12 115 Determine the maximum constant speed a rac car can have if the acceleration of the car cannot excee 7 5 m s while rounding a track having a radius of curvatur of 200 m

Convert 10 degrees Celsius into Fahrenheit degrees Simply state the numerical answer in your response i e 11 26 etc

Plot the point 5 0 in the rectangular coordinate system Plot 5 0 10 4 Ay 10 8 16 4 2 2 14 64 8 N 6 8 THROWER INTROD PROST DILAKUNYE iampere ASESO INTRUSIOPO BAR ZAKON HUMOHUES CONTANT APATO TA MEN MATION EXPOZIBA HARMON AFORE ADAMUNDITIAN HER ANTE X 10 COLORA PATASI stanice FIGURA AUTH

What do we mean by density A Density is used to describe compactness or crowding B Density is used to describe how much liquid is in a container C Density is used to describe the area on a surface OD Density is used to describe how thick a liquid is What do we mean by concentration OA Concentration is used to describe how hot or cold a substance is OB Concentration is used to describe the amount of one substance that is mixed with another OC Concentration is used to describe how thick a liquid is O D Concentration is used to describe how fast a substance is changing in volume

What do we mean by density What do we mean by concentration Describe common units of density concentration and blood alcohol content What do we mean by density A Density is used to describe compactness or crowding OB Density is used to describe how much liquid is in a container OC Density is used to describe the area on a surface D Density is used to describe how thick a liquid is C

28 Decide which of the two given prices is better and explain why Storage locker Arents for per month Storage locker B rents for yd Click here to view the USCS measurements Click here to view the USCS to Metric conversions Select the correct choice below and if necessary fill in the answer box within your choice OA OB CITE 1 57 1 per week Assume 1 month 4 weeks Storage locker B is the better deal because after converting to the units of B s rental price the cost of locker A is the units of B s rental price the cost of locker A is per week which is more expensive than B s rental cost of week Round to the nearest cent as needed per week which is cheaper than B s rental cost of Storage locker A is the better deal because after converting to the units of B s rental price the cost of locker A is Round to the nearest cent as needed OC Both storage rental prices are the same value because after converting to the units of B s rental price the cost of locker A is the same as the rental cost of locker B ft 1 57 ft 1 57 11 per per week

The sets below are described in set builder notation Write each one using the roster list method eg 1 2 3 a n 4 5 6 7 b x R x 7x c c c 3 2 1 0 1 2 3 d te Z t is a divisor of 24

Consider the following sets 3y y 1 2 3 4 6 7 8 9 A B z EZ 15 z 90 C 5c c 3d d 1 2 3 4 5 D w w 3n 15 n a non zero integer 4 n 4 E x Z 1 x 30 and x is divisible by 3 but not by 5 F 15a 30 a Z and 1 a 3 Group A B C D E and F into as few groups as possible so that all the members of each group are equal Enter your answ as a comma separated list of groups For example if A B C are in the same group E F are in the same group different from the group of A and D is in its own group enter your answer as ABC D EF without the quotation marks The order doesn t matter

Let S 7 8 16 Which of the following sets A satisfy the property that A 2 and A CS Select all that apply DA 7 9 16 OB 9 15 DC 7 17 OD 8 16 DE 2

Let S kEZ k 3 is a multiple of 5 Which of the following are elements of S Select all that apply OA 2 OB 5 OC 13 OD 3

Select all of the following that describe the set 1 2 3 OA ala Z OB bER 6 Z OC ffe R and f Z recall that If denotes the absolute value of f OD d de Z OE CER c EZ

Sam is an agricultural inspector who earns 3 528 per month He pays 308 per month for health insurance and 56 23 per month for vision insurance for himself and his wife His federal tax rate is 15 How much money will Sam save by having insurance premiums withheld before taxes are calculated

For any function y f x the average rate of change of y with Ay Ar respect to x is Estimate the instantaneous rate of change when t 35

Example 2 An antiseptic spray is applied to a culture of bacteria The percent of bacteria b that are alive after t minutes is shown on the graph A secant has been drawn through the points for t 5 min and t 35 min A tangent has been drawn at the point where t 20 min a Calculate the slope of the secant Describe what the slope represents Explain the sign of the slope b Estimate the instantaneous rate of change of b with respect to t at t 20 min 100 Percent of bacteria 50 Percent of Bacteria against Time 0 5 80 20 43 35 26 20 Time minutes 40

3 What is the Domain of each of the following y 4 x 4 7 x y Y 1

3 3 2 3

Find the equation of a line determined by the given information 3 a slope of 3 b passes through 2 4 and 6 8 c slope of 3 passing through 1 3 a y intercept of 4

3 a What does the limit lim o f h 4 f 4 h 8 indicate about the function f x x

Sketch the graphs here 2 Part D Use the graph to find the x value where the two designs have the same surface area to volume ratio For which values of x would the engineer choose the dorian Explain

6 The volume of air in a diver s lungs increases as the diver resurfaces This expansion can cause damage to the membranes of the lungs A diver fills her lungs with 4 qt of air at a depth of 66 ft How many quarts of air will she need to exhale during her ascent to still have 4 qt of air in her lungs when she reaches the surface Explain

3 1 The volume V of a sphere is given by V Tr where r is the sphere s radius Part A Solve the equation V 4 3 3 r for r Part B If a spherical ball has a volume of about 33 51 cm what is the ball s radius Round if needed Part C If a spherical ball has a volume of 500 cm what is the ball s radius Round if

1 Graph f x x 2 What are the domain and range of the function

3 3 Solve the equation 4x 32

Each of the following families of the differential equations depends on a parameter a Sketch the corresponding bifurcation diagrams as well as the phase lines on both sides of bifurcation values Identify the types of bifurcations that occur a x 1 ax x 3 b x x ax c x x x a X

Q3 Consider the matrix A 0 1 0 0 0 1 a Find the eigenvalues A s doubly degenerate and the eigenvectors la i 1 2 3 c the operator A b Show that each of the sets la la la3 forms an orthonormal and complete basis c Consider the matrix U which is formed from the normalized eigenvectors of A Verify that U is unitary U U 1 d Show that U satisfies the relation U AU 12 0 0 0 22 0 1 2 22 23 are the eigenvalues of A

2 A portion of the graph of f x sin x is shown a What is the domain of the function b What is the range of the function 2 y 24 1 5 1 0 5 1 9 0 5 1 5 2 2

Simplify a 45 x 4 b 55 x 53 0