Questions

x 2 1 0 1 2 3 E 6 4 1 22x 5 3 2x 2 FILL OUT THE TABLE OF VALUES EVALUATE THE FUNCTIONS GIVEN IN YELLOW BOXES AT THE CORRESPONDING INPUT VALUES GIVEN IN THE BLUE BOXES BE CAREFUL QUESTIONS ARE IN RANDOM ORDER FILL OUT THE CORRECT BOX FOR EACH ALL ANSWERS SHOULD BE IN DECIMAL FORM IF ANSWERS ARE A TERMINATING DECIMAL PUT THE ENTIRE DECIMAL INTO ANSWER BOX IF ANSWERS ARE NOT TERMINATING ROUND APPROPRIATELY

5 Domain Range Leading Coefficient Degree Number of REAL roots Number of Maxima Number of Minima 0 500 5

Consider the circles shown to the right Assume one circle is selected at random and each circle is equally likely to be selected 000000 Determine the probability of selecting an odd yellow green green number given that the circle is not yellow orange orange yellow The probability of selecting an odd number given that the circle is not yellow is Type an integer or a simplified fraction

Y R 2 3 4 5 1 2 3 4 5 1 2345 5 A board game uses the deck of 20 cards shown to the right If one card is drawn determine the probability that the card shows a lion or a 5 12 The probability of selecting a lion or a 5 is 1 2345 5 95

2 Previous There was a study done on oxygen consumption of snails as a function of pH and the result was a degree 4 polynomial whose graph is shown below 0 101 Oxygen Consumption co hr 0 08 0 06 0 04 0 02 0 00 6 7 8 pH 9 10 Which of the following statements about this function is INCORRECT There is a positive leading coefficient B The degree of the polynomial is even There are two intervals where the function is decreasing At two pH values there is an absolute maximum value

Select the correct choice that completes the sentence below The formula for finding the probability of event A or event B is P A or B P A and B P A P B 1 P A and B

9 If LO 15x 19 and QN 10x 2 find PN 12 1 L P N 2X1

S Given the following graph write a possible equation that could represent the function in factored and standard form LA Factored Form Standard Form

What is the probability of getting either a spade or an ace when drawing a single card from a deck of 52 cards What is the probability that the card is either a spade or an ace Simplify your answer Type an integer or a fraction

For the polynomial function y 3 4 5 2 1 5 match each of its zeros with their multiplicities and their appearance on the graph DRAG DROP THE ANSWER 1 2 3 4 cross cut through bounce wiggle bend Multiplicity Appearance on Graph 2

The function g x is a polynomial with the following end behavior as z 00 f x o as o f x 0 Which of the answer choices could be an expression that represents g x x 2x 6 4x x 5 3x 4x 1 2x 7x 4x

Liam swims the length of a 40 meter pool in 10 seconds and immediately swims back to the starting position in another 14 seconds What was his average speed What is his average velocity

The graph below is the function f x 5 4 3 2 1 5 43 2 1 1 2 3 5 x 2 1 2 3 4 5 Select all statements below that you agree with Note You may be checking more than one box No partial credit f 2 is defined lim f x exists f x f 2 lim x 2 The function is continuous at x 2 The function is not continuous at x 2

The expression shows that 64 can be expressed in powers of 6 as well Since r is already in power of 6 60 61

Spurred by its rapid growth the City of Koronadal is reviewing housing proposals for a new development area designed for a location of marginalized families currently occupying land in what the city has identified as its new commercial center As a result of this relocation the income of the family is reduced and it is estimated that the average daily income is at most P245 000 There is some dispute among members of the City Council as to what goals should be sought The city zoning committee has recommended 2 types of housing single detached family houses and row houses The zoning committee has compiled the following data for each type of housing Single detached S Square meters per unit Families housed per unit Average daily family income Voting base generated per unit Development Cost Unit in thousands of pesos PhP160 PhP125 There are 30 000 square meters available for zoning The City Council has established the following goals which are equally desirable Furthermore the council decided to give a penalty of 5 if Goal 2 is not achieved Due to the importance of real estate in the area penalties of Goal 4 are 8 and 3 for over and under achievement respectively Below are the goals 1 Provide housing for at least 500 families 2 Establish at least 2 500 new voting base 40 2 500 5 3 Limit development cost to PhP80 million 4 Reserve exactly 5 000 square meters for a neighborhood park area Note 1 Use the variables indicated in the table as decision variables 2 For deviational variables use dl dl etc Row houses R 25 1 350 4 3 For coordinates use the format axis axis Always add 1 space after the comma 4 Do not include the commas and units in the answered figures 5 In writing the equation put 1 space only after each term before and after the inequality No multiplication symbol or x in the equation For example the format is 4X 3Y dl dl 20 6 Use fraction for the coordinates Example 0 50 1 2 10 1 8 2 2 3 Solve the problem first before answering the questions to earn credits If you just show your solution based on the questions only you will not get a credit a What will be the deviational variables of goal 2 Blank 1 and goal 4 Blank 2 in the objective function Include all coefficients of the variable if needed b Formulate the goal constraint of goal 3 Blank 3 c Formulate the goal constraint of goal 4 Blank 4 d What are the coordinates of goal 1 Blank 5 Blank 6 e How many solution sets are there in Goal 17 Blank 7 f Identify the multiple solutions for goal 2 For excess coordinates put N A in your answer Blank Blank 9 Blank 10 Blank 11 How many solution sets are there in Goal 3 Blank 12 h Identify the multiple solutions for goal 3 For excess coordinates put N A in your answer Blank 13 Blank 14 Blank 15 Blank 16 What is the satisficing solution S Blank 17 R Blank 18 Z Blank 19 1 Is Goal 4 achieved Answer Yes or No Blank 20 Is is under achieved UA or over achieved OA Write the acronym only Blank 21 By how much Blank 22

log 8 x

11 log 3x log 10 log 6 63

8 points Question 4 Let A 1 2 1 1 21 12 02 20 3 2 12 Find A using super augmented matrix and check your answer Solution

14 log 4 log 2x 1

13 log 4 2x log 4 3 3

6 7 points f x sin 5x 7 7 points h x cot 2x

2 85x 1 3x 11 8

3 a 4 points Assuming that f x is a differentiable function and a is a number in the domain of f state a limit definition of f a your choice b 8 points Let f x x 5x Using only the limit definition of the derivative calculate the derivative of f Please calculate f x not f a You must use a limit definition d 2 points Show that you can arrive at the same answer to part c above by using our derivative rules shortcuts 3

3 Inx In7 In63

8 25 3x 6 125 12 2x

4 6t 1 36

5 logx log4 1

9 2x 6 5 5 54

4 7 2log x 3log4

1 Please use Microsoft equation maker to write the formula for a large samples z test 2 Please use Microsoft equation maker to write the formula for a one sample t test

If log 2 0 4307 and log 3 0 6827 then using the product and power properties of logarithms what is the approximate value of log 6 Your final answer must be accurate to three places after the b decimal

se the change of base formula to evaluate the following expression log n

Find the arc length of a curve defined by trigonometric parametric equations Question Find the arc length of the curve defined by the equations t 5esint y t esint 0 t Round the answer to three decimal places Provide your answer below

c Increase reserve requirements applied to commercial banks d Increase the interest rate on reserves held by commercial banks at the FED According to the quantity theory of money which annual money growth rate should the Centra Bank target to obtain a constant 2 annual inflation rate if money velocity is constant and nominal output grows by 3 5 per year a 1 5 b 3 5 C c 5 5 d None of the above I Which of the following events does not contribute to 2019 US GDP accounting a Mary purchases 1 pound of avocados produced in California in 2019

Question Find the equation of the tangent line to the curve defined by the equations x et y t 1 at 1 1 Give your an in slope intercept form y mx b Sorry that s incorrect Try again

Robinson Company purchased Franklin Company at a price of 3 880 000 The fair market value of the net assets purchased equals 2 790 000 1 What is the amount of goodwill that Robinson records at the purchase date 2 Does Robinson amortize goodwill at year end for financial reporting purposes 3 Robinson believes that its employees provide superior customer service and through their efforts Robinson believes it has created 1 450 000 of goodwill Should Robinson Company record this goodwill Complete this question by entering your answers in the tabs below Required 1 Required 2 Required 3 What is the amount of goodwill that Robinson records at the purchase date

H O Formation of a nucleotide Condensation water removed Hydrolysis water added A nucleotide is formed when phosphoric acid and a base are chemically bonded to a sugar molecule In both cases water is given off and they are therefore condensation reactions Double Stranded DNA The double helix structure of DNA is like a ladder twisted Into a corkscrew shape around its longitudinal axis It is unwound here to show the relationships between the bases The way the correct pairs of bases are attracted to each other to form hydrogen bonds is determined by the number of bonds they can form and the shape length of the beso The template strand the side of the DNA molecula that stores the information that is transcribed into mRNA The template strand is also called the entisense strand The other side often called the coding strand has the same nucleotide sequence as the mRNA except that T in DNA substitutes for U in mRNA The coding strand is also called the sense strand a Sugar deoxyribose b Phosphate c Hydrogen bonds between bases 2 a Explain the base pairing rule that applies in double stranded DNA Formation of a dinucleotide Two nucleotides are linked together by a condensation reaction between the phosphate of one hudentide and the sugar of another 1 The diagram above depicts a double stranded DNA molecule Label the following parts on the diagram d Purine bases e Pyrimidine bases b Explain how this differs in mRNA c Describe the purpose of the hydrogen bonds in double stranded DNA

Hydrolysis water added H O A nucleotide is formed when phosphoric acid and a base are chemically bonded to a sugar molecule In both cases water is given off and they are therefore condensation reactions Double Stranded DNA The double helix structure of DNA is like a ladder twisted into a corkscrew shape around its longitudinal axis It is unwound here to show the relationships between the bases ONA ishin The way the correct pairs of bases are attracted to each other to form hydrogen bonds is determined by the number of bonds they can form and the shape length of the base The template strand the side of the DNA molecule that stores the information that is transcribed into mRNA The template strand is also called the antisense strand The other side often called the coding strand has the same nucleotide sequence as the mRNA except that T in DNA substitutes for U in mRNA The coding strand is also called the sense strand R 3 b Phosphate c Hydrogen bonds between bases a Explain the base pairing rule that applies in double stranded DNA together by a condensation reaction between the phosphate of one nucleotide and the sugar of another 3 Describe the functional role of nucleotides The diagram above depicts a double stranded DNA molecule Label the following parts on the diagram a Sugar deoxyribose d Purine bases e Pyrimidine bases b Explain how this differs in mRNA c Describe the purpose of the hydrogen bonds in double stranded DNA 5 3

Compare and contrast prokaryotic and eukaryotic ribosomes Include two aspects o comparison and two aspects of contrast

Find a formula for a function f that satisfies the following conditions lim f x 0 lim f x f 3 0 X X 0 f x lim f x X 9 lim f x 0 x 9

Make a substitution to express the integrand as a rational function and then evaluate the integral 24e 60 e 7e 10 dx

Water containing 1 lb gal of salt enters tank at a rate of 3 a gal min and leaves the tank at a rate of I gal min Suppose the tank initially contains 100 gallons of water and 20 16 of salt Find the amount of salt in the tank

5 15 pt Water containing 0 1 lb gal of salt enters a tank at a rate of 3 gal min and leaves the tank at a rate of 1 gal min Suppose the tank initially contains 100 gallons of solution in which the salt is 20 lb Find the amount of salt in the tank

Transcribe the following sequence of DNA into mRNA 3 TAC AAG TTT 5 O O O 5 AUG UUC AAA 3 3 ATG TTC AAA 5 3 AUG UUC AAA 5 3 AAA CUU GUA 5

Find amplicit solution dy 1 Y 34 4 2 dx an

Find the general solution 1 x y e sin 2x dy dx X

Find the limit if it exists If an answer does not exist enter DNE 4x6x x 5 lim X X

Substitution Find the solution using the Y UX or U x 14 1 2 Y dy I x dx

M B A A B A C The diagram above shows Eukaryotic transcription Match the letter labels from the diagram to the names t MA M mRNA template strand non template strand N DNA polymerase D

A B C GG GOU GAC AGU GOU tRNA D Anticodon Codon Match the labels from the diagram above to the names below mRNA Ribosome UGG AC A GAU E