Questions

The following table shows the results of an analysis of variance comparing three treatment conditions with a sample of n 10 participants in each treatment Note that several values are missing in the table What is the missing value for SS total Source SS df MS Between 20 XX xx F xx Within XX XX 2 Total XX XX 54 30 22

Find the area of the region between the graphs of y 12 and y 2x 3 ove the interval 2 x 9

The area is Question Help Video Written Example Question 26 Find the area of the region between the graphs of 0 1 pt 3 98 O 2 and

What value is expected on average for the F ratio in ANOVA when the null hypothesis is true Explain why this value is expected Edit View Insert Format Tools Table

The area of the region between the graph of y x x 20 and the x axis is

A psychologist would like to examine the effects of sugar consumption on the activity level of preschool children Three samples of children are selected with n 5 in each sample One group gets no sugar one group gets a small dose and the third group gets a large dose The psychologist records the activity level for each child The data from this experiment are presented below a Do these data indicate any significant differences among the three groups Test with a 05 b Compute n the percentage of variance accounted for by the treatment No Sugar Small Dose Large Dose 5 3 6 3 3 8 1 5 G 60 1 4 2 EX 298 5 4 T 15 T 20 T 25 SS 16 SS 12 SS 20

An analysis of variance produces SS total 80 and SS within 30 For this analysis what is SSbetween 50 30 80 O110

Suppose F 2 9 F 3 5 and F z f x 3 f z 2 F z dz

Find the area of the region between the graphs of y 14 2 and y 3x 26 ove the interval 8 x 3

C Suppose F 2 1 5 dt and G x 3 3 F x 1 x7 Find the following DO NOT attempt to find a formula for F x F 3 F 3 G 3 G 3

Set up the definite integral required to find the area of the region between the grap 10 2 and y 5x 4 of y dx

Suppose F 8 2 F 9 10 and F x f x 9 f x dx 1 61 c F x

Set up the definite integral required to find the area of the region between the grap of y 12 2 and y 4x 48 over the interval 9 x 4 dm

Find the area of the region between the graphs of y 15 x and y 2x

3 Consider the language L ab2c2dkdli 0 j 0 k 1 Is this language context free If so give a PDA for the language If not prove it is not a CFL

10 Parallelogram HIJK 1J HK 18 4 JK d x x HI P A 0 6 H K 4 B B X

In 3 11 Find the indicated information P is perimeter A is area Round answers to the nearest tenths Drawings are not to scale Don t Forget Units 3 11 m 4 X 21 ft 8 1 m P 6 4 m x P A 20 ft

In 1 2 Use Pythagorean s Theorem to find the value of x in each right triangle Round answers to the nearest tenths Drawings are not to scale Don t Forget Units 1 18 in 5 in x X 2 8 in A 36 in 11 in x

1 Consider the following grammar ScScc A AaaaAbb aaaDbb DddD d a Describe the language produced by this grammar in set notation i e L ie th same format used in other problems e g 2 below Briefly explain your reasoning b Come up with a PDA that accepts the same language

Find the value of the trig function indicated sin e 5 13 13 13 12 12 13 2 6

2 Consider the language L amb2mc m n 0 m odd n even Is this language context free If it is give a GRAMMAR that accepts it else prove it s not a CFL

Find the value of the trig function indicated tan e 13 12 12 3

5 The order is Ampicillin 500 mg in 100 mL of 0 9 Normal Saline IVPB The order is to administer the IVPB over 45 minutes Your tubing delivers 12 gtts mL How many mL hour should the IV pump be set 60mix 9 m2 125 100 me mt What is the correct rate of the infusion in gtts minute 45 The 72000 IL 00 mL

10 Given to the right is the graph of f t Additionally let the function g x be defined to be ff t dt a Where does the graph of g have a relative max b Where is the graph of g concave down

q The graph of the function f in the figure below consists of line segments and a quarter of a circle Let g be the function given by g x f t dt Determine the following a g 6 sidot art mo Dedi ort ofbmixo quo of almidue Strange 0 toq mawa oy bbw b g 4 de quoy al fotonu palabonont auc c g 8 Sydw Seulov U17 90 885 10 93 653211 6 S910

Solve the differential equation with the given conditions 21 f x 12x 6x 1 and f 1 5

5 3 For questions 6 8 use the Fundamental Theorem of Calculus to find the derivative of the functions 6 g s t t2 8 dt 7 F x x 3 t dt 8 g x 3 2t 5 dt

A Phosphate Group Lipid D Nonaqueous Cytosol Nonaqueous Aqueous Nonaqueous Environment Cytosol Environment B C Nonaqueous Cytosol Nonaqueous Environment Nonaqueous Cytosol E F Aqueous Nonaqueous Cytosol Environment Nonaqueous Environment Aqueous Cytosol Nonaqueous Environment Figure 1 Proposed models of hypothetical plasma membranes Each model represents a small portion of the hypothetical plasma membrane and illustrates the orientation of the phospholipids A student proposes six models of a hypothetical plasma membrane Figure 1 Identify the model that best represents the plasma membrane of a hypothetical cell that exists in a nonaqueous environment and whose cytosol is similar to that of an animal cell Provide TWO pieces of reasoning to support your identification AGE FOR ANSWERING QUESTION 8

DNA mRNA OR 1 2 4 5 1 3 4 5 Ligand A Ligand B Protein Protein A Plasma Membrane Protein B Plasma Membrane Exon Intron 2nd Messenger Figure 1 Receptor proteins produced as a result of alternative splicing followed by activation of a second messenger 4 Cell signaling in eukaryotes is often dependent on receptor proteins located in the plasma membrane During the production of the mature mRNA molecules coding for these receptors pre mRNA molecules are processed to remove introns and to connect exons together The exons contain the sequences that code for proteins In certain instances different mature mRNA molecules can be formed from the same pre mRNA by alternative splicing which results in different protein sequences in the resulting polypeptides Figure 1 represents the expression of a gene with 5 exons that can be alternatively spliced to produce receptor protein A and receptor protein B a Explain how ligand A and ligand B can cause identical cellular responses in a cell b Predict the most likely effect of a two nucleotide deletion in the middle of the intron located between exc 4 and 5 on the structure of protein A Justify your prediction

Find the critical point or points for the given autonomous system Then identify its phase portrait dx x 2y dt dy 16x x 3 Select the correct choice below and if necessary fill in the answer box to complete your choice A The critical point s is are Type an ordered pair Use a comma to separate answers as needed B There are no critical points Choose the phase portrait which matches the system A O B y 54321O12345 5432101234 C O D 1043210123 5 4 3 2 1 X 5 4 3 2 10 1 2 3 4 5 5 4 3 2 1 0 1 2 3 4 5 5 4 3 2 1 0 1 2 3 4 5 5 4 3 2 1 0 1 2 3 4

TheMortgageReports com reported the median price of a home sold in the United States hit a record high in 2020 at just above 320 000 Juan Carlos Soto Jr wants to purchase a new home for 306 500 Juan puts 20 down and will finance the remainder of the purchase Compare the following two mortgage options he has 15 years at 4 5 or 20 years at 5 5 Use Table 15 1 Note Round your intermediate calculations and final answers to the nearest cent a Calculate Juan s monthly payment for both the 15 and 20 year mortgage Answer is not complete Monthly payment for 15 year mortgage Monthly payment for 20 year mortgage b Calculate Juan s total cost of interest for both the 15 and 20 year mortgage Answer is not complete Total cost of interest for 15 year mortgage Total cost of interest for 20 year mortgage 92 436 800 c What is the difference in interest paid between 15 and 20 year mortgage

If you buy a home with less than 20 down you will pay an additional monthly fee PMI private mortgage insurance until you reach 20 equity Keep track of when you reach 20 equity so you can request to have your PMI removed Ken Buckmiller s home recently appraised at 297 000 His mortgage was for 282 000 at 5 for 30 years with PMI of 299 17 per month What is his monthly payment plus PMI His mortgage balance is currently 183 000 Has he reached 20 equity Use Table 15 1 Note Round your intermediate calculations and final answer to the nearest cent Monthly payment Has he reached 20 equity Yes

If you buy a home with less than 20 down you will pay an additional monthly fee PMI private mortgage insurance until you reach 20 equity Keep track of when you reach 20 equity so you can request to have your PMI removed Ken Buckmiller s home recently appraised at 297 000 His mortgage was for 282 000 at 5 for 30 years with PMI of 299 17 per month What is his monthly payment plus PMI His mortgage balance is currently 183 000 Has he reached 20 equity Use Table 15 1 Note Round your intermediate calculations and final answer to the nearest cent Monthly payment Has he reached 20 equity Yes

Find the six trigonometric function values for the angle a shown

Daniel and Jan agreed to pay 546 000 for a four bedroom colonial home in Waltham Massachusetts with a 50 000 down payment They have a 25 year mortgage at a fixed rate of 6 Use Table 15 1 a How much is their monthly payment Note Round your answer to the nearest cent Monthly payment b After the first payment what would be the balance of the principal Note Round your answers to the nearest cent Payment number Portion to Balance of loan Interest Principal outstanding

Find the consumer s surplus for the following demand curve at the given sales level x p 3 X x 24 12 The consumer s surplus is Round to the nearest cent as needed

6t 1 1 2 degrees What was the average temperature during that period During a certain 9 hour period the temperature at time t measured in hours from the start of the period was T t 41 6t The average temperature was Simplify your answer

Find the average value of the function f x x 3 from x 0 to x 6 The average value of the function f x x 3 from x 0 to x 6 is

Determine the average value of f x over the interval from x a to x b where f x Set up 1 1 a and b 2 2 the integral that is used to find the average value Write all constant factors associated with the endpoints outside of the integral sign 2 dx

1 Determine the average value of f x over the interval from x a to x b where f x X The average value is Type an exact answer 1 a and b 3 3

Complete the following table Use Table 15 1 Note Round your intermediate calculations and final answer to the nearest cent First Payment Broken Down Into Selling price Down payment Amount mortgage Rate Years Monthly payment Balance at end of month Interest Principal 120 000 5 000 6 50 30

Sketch a rational function subject to the given conditions Horizontal asymptote y 1 Vertical asymptote x 2 y Intercept x Intercept 3 0 Part 0 3 Part 1 of 3 Sketch the horizontal asymptote y 1 and vertical asymptote x 2 X G

Which of these is not true regarding the Magna Carta John was forced to sign it by the English nobility It serves as the basis of many liberties in England and the United States It showed that the English king was not above the law It established a separation of church and state in England

This Crusade ended with the conquest of Constantinople by the crusaders Third Crusade First Crusade Second Crusade O Fourth Crusade

The dynasty that ruled over the Angevin Empire was the O Valois O Capetians Plantagenets

Which of these events was beneficial to France in the Hundred Years War O Coronation of Charles VII O Treaty of Bretigny O Battle of Crecy Treaty of Troyes

Which of these was not an outcome of the First Crusade O The establishment of the Crusader states O The formation of the Military Orders O The recovery of the Holy Land by the Byzantines O The building of massive castles in the Holy Land

EXAMPLE 7 Find the critical numbers of the function f x x3 5 3 x SOLUTION The Product Rule gives the following F x x13 3 x 3 3 x 3 3x The same result could be obtained by first writing f x 3x3 5 x 5 Therefore f x 0 if and f x does not exist when x Thus the critical numbers are larger and smalle

Joan of Arc helped to relieve the siege of Orleans Paris Agincourt Reims

Which European country became the predominant power during the later Medieval period O Italy France England Germany