Functions Questions and Answers

Discuss the existence and uniqueness of a solution to the differential equation 8 1 y ty y tant that satisfies the initial conditions y 4 Yo y 4 Y where Y and Y are real constants Select the correct choice below and fill in any answer boxes to complete your choice OA A solution is guaranteed only at the point to OB A solution is guaranteed on the interval OC A solution is guaranteed on the interval t t q t and g t because the functions p t because it contains the point to because it contains the point to are simultaneously defined at that point q t q t and g t and g t and the functions p t and the functions p t are equal on the interval are simultaneously continuous on the interval

Find the general solutions to the following nonhomogeneous Cauchy Euler equation using variation of parameters tz tz 49z tan 7 In t What is a general solution to the corresponding homogeneous equation Zh Use parentheses to clearly denote the argument of each function

te the following compound statement in terms of the my the bills and take the kids to the park and my wife is not happy pay the bills take the kids to the park y wife is happy Vrite the statement in symbolic form in terms of p q and r A pvq v r B p q Ar C p q v r D p q E pv q 1 F pva vr Construct a truth table for the symbolic statement in part a

rect choice that completes the sentence below clusion of an argument does not necessarily follow from the given set of premises it is a n

Consider the following 8x5 2x y 4y7 a Give the degree of the polynomial b Give the coefficient numerical of the highest degree term c Give the constant term d Decide whether it is a polynomial of one or several variables It is a polynomial of one variable It is a polynomial of several variables

Select the correct answer An office building is which type of resource human resource capital resource entrepreneurship

6 Let a b be real numbers and f a b R a function We say that f is Lipschitz on a b if and only if the following statement is true EL 0 such that f x f y Lx y Vx y a b a Prove that if f a b R is Lipschitz on a b then f is uniformly continuous on a b b Suppose f a b R is differentiable Assume moreover that its derivative f is bounded on a b i e there is some M 0 such that f x M for every x a b Prove that f is Lipschitz on a b Hint Mean Value Theorem

Please upload the proof two the following Theorem if h n g n and f n h n for all sufficiently large n then f n g n

Find a solution to the recurrence relations using the iteration method Please see Example 10 a 3 n A Show your work on paper and then upload the image of the work in here Attach File

I Find the power series expansion of the following analytic functions at the given point a 1 2 2 at z 2 b 2 1 at z

Select one De 8 Function Behavior Question 9 Which function could this graph represent Do O O f x 9 x 9 f x x x 9 f x x 3 x 3 x O f x x 3 a

Function Behavior Question 8 Which is the graph of x x 1 f x x 2 x 1 Select one 60 O O O 13 O

Write the following set as an interval using interval notation x 12 x 9

Draw the graph of the given function 1 f R Z defined by f x 2x 3 2 f Z Z defined by f x x 1 Show your work on paper and then upload it here Attach File

Determine if the function f R Z defined by f x 3 is a bijection Justify your answer Show your work on paper and then upload here

The function assigns to each nonnegative integer its last digit Find the domain and range of this function Domain is Range is

Quick Write 3 February 8 2023 Suppose George had time to consider and write about Lennie s actions Write a one page diary entry from George s viewpoint that reflects on his feelings about Lennie how he should handle Lennie s newest trouble and what this means for their future dreams Quick Write 4 March 24 2023 Respond to the Creative Writing A Dog s Life on page 430 write a half to whole page response after reading the excerpt from Travels with Charley Quick Write 5 May 24 2023 Write a one page epilogue to the book That Was Then This is Now imagine that five years have passed since the events described in the final chapter of the novel Tell how the main characters of the novel have continued on with their lives

B Complete the questions using Wh quesion words A a daki c mleleri WH soru t rleriyle tamamlay n z 25P 1 does she work In a bank 2 3 4 does she go to school On foot do you have breakfast At 7 30 does he wear everyday Blue jeans

rmine the truth value for each simple statement Then use these truth values to determine the truth value of the compound stat 0 3 or 423 simple statement 0 3 is true simple statement 423 is COLL

correct choices that complete the sentence below m s laws state that p A q is equivalent to and p v q is equiv

Cool Down Two Reflections 1 Graph the function g given by g x f x 2 Graph the function h given by h x f x Draw each graph in a different color and label each graph with the name of the function YA 4 f 2 1 4 8 2 0 2 0 7 1 6 2

Lesson 5 Some Functions Have Symmetry Cool Down Even or Odd Let h be a function where y h x 1 What is the value of a if h is an even fun tion 2 What is the value of a if h is an odd function 8 4 0 4 Y a 0 12

How would you transform the function given by f x x to fit the data shown YA 6 C 4 2 6 N N 2 f x x 6 X X

Write an equation for the function g whose graph is the graph of f t 100 1 05 translated to the ight 5 units and up 50 units

Cool Down Even More Symmetry Identify each as function even odd or neither Explain or show your reasoning 1 the function k shown here k 2 1 YA 2 X X 2 the function f defined by f x 3 3

A is being converted into a compound B over time The rate of the reaction in moles per liter per second is given by the equation r t k e kt 1 e kt where t is the time in seconds k is a positive constant and e is the base of the natural logarithm a Determine the limit of the rate of reaction as t approaches infinity i e find the value of Lim t oo r t Express your answer in terms of k b Find the value of k that maximizes the initial rate of reaction r 0 c Given that the concentration of compound A at t 0 is 1 mole per liter calculate the time it takes for the concentration of compound A to decrease

Consider the same open top box which is to have volume 216 in Suppose the cost of the material for the base is 20 in and the cost of the material for the sides is 30 in and we are trying to minimize the cost of this box Write the cost as a function of the side lengths of the base Let x be the side length of the base and y be the height of the box

1 point Consider the graph shown below A B D E C F H G Give an example of a Hamiltonian path in the graph shown above Give an example of a Hamiltonian circuit in the

Sketch the vectors 4 4 and 1 2 and find the angle between them in degrees 6 5 4 3 7 6 5 4 3 2 1 Clear All Draw 2 3 4 5 6 7 2 4 K 5 6 7 The angle between the vectors is Round to the nearest tenth of a degree degrees

Find a general solution to the given equation 4x 12y 48y 64y 7e 4 Find a general solution to given differential equation y x

Find a general solution to the given equation 2x y 7y 16y 12y 4e sin x What is a general solution to the corresponding homogeneous equation y x Do not use d D e E i or I as arbitrary constants since these letters already have defined meanings

Use the annihilator method to determine the form of a particular solution for the given equation 0 490 5xex Find a differential operator that will annihilate the nonhomogeneity 5xe7x 7 Type the lowest order annihilator that contains the minimum number of terms Type your answer in factored or expanded form

a find the Vertex form of f x 2x 4X 3 1 find the domain range of f x c find the inverse relation of Y f x d Fird the domain range of the inverse relation in part c e find the domain range of 9 x 2x 4x 3 X 1 f find the inverse of g x g find the domain range of the inverse of g x

Find the values of a in y ax 5x 3 so that the graph has 2 x intercepts

Graph the equation y 5 4 3 2 1 Clear All Draw 5 4 3 2 1 1 2 3 1 x 3 by completing a table of values 3 4 5 1 2 3 4 A O 55

Determine whether the given points are on the graph of y 2x 3 Select all points that lie on the graph 6 14 2 7 0 1 1 0 2

Fill in the t table below for the equation Then graph the line on the grid by selecting two of the points from your table y 2x 6 X 1 0 1 1096 5 y c 10 9 8 3 4

In which quadrant does the point 5 5 lie ON OI Oll

Find the amount of tax and the tax rate Round to two decimal places Cost of item 60 Selling price 68 07 Tax amount Tax rate de

Joyce paid 117 00 for an item at the store that was 35 percent off the original price What was the original price

Tracey paid 170 for an item that was originally priced at 620 What percent of the original price did Tracey pay Round to the nearest tenth of a percent percent

If Marley walks 4 miles in 50 minutes then Marley will walk how far in 90 minutes if she walks at the same speed the whole time If necessary round your answer to the nearest tenth of a mile miles

Question 8 1 You need 1 cups of sugar to make 20 cookies 4 To make 12 cookies you will need cups of sugar Enter your answer as a fraction or whole number Next Question

Which is the better deal O 0 49 for 12 pounds O 0 29 for 8 pounds

Write the polynomial function f x 5 x 1 x 4 in standard form 1 mark and identify the rest of the characteristics 3 marks Standard form equation of possible x intercepts y intercept End behavior Domain Range of possible turning points

The half life of gold 195m is approximately 30 5 seconds Step 2 of 3 How much of a 2 gram sample of gold 195m would remain after 94 seconds Round to three decimal places AnswerHow to enter your answer opens in new window 2 Points

Solve the trigonometric equation for all values 0 x 67 2 cos 1 x 1 0

Two functions are shown below f x 2x 2x 3 S g x 0 51x4 What is the y value when f x g x 1 How many functions do you have 2 What is the question asking you to do 3 What are some ideas of how you could solve this 4 What is the answer

18 Select one Statistical Inferences Question 5 Scores on an intelligence test are normally distributed with a mean of 100 points and a standard deviation of 15 points What is the probability that a randomly selected test taker will score 130 points or below 18 O 95 O 97 5 O 99 7 O 2 5

1 Graph the power function Then use the graph to answer the questions Remember it is OKAY to use Desmos but be sure to do an accurate sketch of the graph it doesn t need to be perfect but it should be close to the shape and position of the real graph 4 points f x 4x Domain Increasing interval s Decreasing interval s Symmetry Discontinues End Behavior Range