Questions

4 12 pts Let f x 2 If I shift the graph of the function f x n 3 units to the right followed by b 4 units down What will be the function corresponding to the resulting graph

Find the length of GO Round to the nearest tenth G T 50 27 61

8 Solve the triangle by finding all missing side lengths and angle measures Round to the nearest tenth 5 39 R 94

Which factor has motivated many countries to pursue free trade policies in the 21st century A To protect local businesses from competition with huge foreign corporations B To prevent companies from producing pollution that affects the entire world C To make it cheaper and easier for companies to buy and sell foreign products D To allow all people regardless of race or gender to participate in the global economy

Is the set appropriate props stage etc You can answer yes or no

Are the costumes accurate for the setting and time period of the play You can answer yes or no

18 3 An antihistamine shows sharp peaks at Raman shifts of A 488 725 875 925 and 1350 cm At what wavelengths in nanometers would the Stokes and anti Stokes lines for the antihistamine appear if the source were a a helium neon laser 632 8 nm b an argon ion laser 488 0 nm

1 Describe the end behaviour of the graph of the polynomial function f x 2 2x 7 2

In 7 12 Identify all of the terms from the following list that apply to each figure quadrilateral parallelogram rectangle square trapezoid rhombus kite 7 8 H

11 12

Which character s did you like Dislike

What was great about the play Not so great

On a scale of 1 to 5 with 1 being not at all and 5 being yes did the characters seem like real people Your response should be a number

Are the characters interesting You can answer yes or no

3 Find the vertex of the parabola which is the graph of the function f x x 12x 11

2 Find all the seroes of the polynomial function a 32 18x 27 State their multiplicities

3 Find the vertex of the parabola which is the graph of the function f x x 12x 11

Which is not involved in adaptive immunity Tear flow Antibody production T cells B cells Tear flow AND B cells

Select the TRUE statement regarding viruses Viruses have completely random shapes Viruses may be unicellular or multicellular Virus are considered living because they contain nucleic acid Most viruses are smaller than bacteria but bigger than ribosomes Viruses always cause death of the host cells they infect

5 You are given a dataset of 450 observations which was collected over two years from a service oriented system The observations represent service processing time in minutes You have constructed several histograms using the provided dataset one of them is shown below Discuss what you would do to model the input distribution for the service processing time 10 points Histogram Plot Decrease incbase merval width by 5 Histogram 054 0 51 0 08 0 06 0 03

Given the equation f x 4 2 2 answer the following A Growth or Decay B h C k D Horizontal Asymptote E Find f 1 Write as a coordinate pair

hich graph represents f x 3 4 2

4 For each of the following functions determine the domain Then choose the answer choice that matches each function to its domain correctly f x 3x 1 9 x 2 x 2 h x 2x 5 OA f x D 0 g x D 0 2 U 2 h x D 0 00 OB f x D 0 g x D 2 U 2 h x D OC f x D 0 g x D 2 h x D x u OD f x D Ju g x D 00 h x D OE f x D u g x D 2 0 h x D

Your local Chipotle receives an average of 20 customers per hour and can complete their order in 2 minutes Assume exponential interarrival time deterministic service time one server in the system and that customers leave as soon as they receive their order 15 points a If you plan to go to Chipotle how much time in minutes do you expect to wait in queue b What is the probability in four decimal places that there are no customers there when you arrive to Chipotle c How many customers on average will be in Chipotle

3 You have just submitted your final report for a semester long project for your Modeling and Simulation course Despite reviewing your work several times you understand that there may still exist some minor grammar or spelling errors Assuming your number of errors per page 0 1 and your report is 20 pages long answer the following questions round your answers to 5 decimal places 15 points a What is the chance that a single page contains more than 1 error is b If the first page contains 2 errors what is the chance that the next page also contains exactly 2 errors c What is the chance that your entire report contains no errors

6 Quantity y varies directly with the square root of x y has a value of 8 when x has a value of 16 Find the value of y when x 20 Round your answer to two decimal places A 17 89 OB 40 OC 8 94 OD 20 E 24 64

Given the following graph of the function y f x and n 6 answer the following questions about the area under the curve from 20 to z 6 x 1 Use the Trapezoidal Rule to estimate the area Answer T6 2 Use Simpson s Rule to estimate the area 1 0

The left right Trapezoidal and Midpoint Rule approximations were used to estimate 2 f z dz where f is the function whose graph is shown below The estimates were 0 78 0 8675 0 8632 and 0 9540 and the same number of subintervals were used in each case a Which rule produced which estimate 0 7811 1 Trapezoidal Rule estimate 2 Right hand estimate 0 7811 3 Left hand estimate 0 8675 0 8632 4 Midpoint Rule estimate 0 9540 Derween which two approximations does the true value of 2 f x dx lie A 0 8632 f x dx 0 8675 B 0 8675 f x dx 0 9540 c 0 7811 f x dx 0 8632 D No conclusions can be drawn YA 1 y f x

The graph of a function f is given below Estimate f x da using four subintervals with a right endpoints b left endpoints and c midpoints a f f x dx b f f x dz f c So f x dx 0 1 f X

a house purchased for 140 000 is expected to in value in 15 years find its appreciation equation let x be the number of years since the purchase and let y be the value of the house in dollars

The Cupcake Caf makes 4 times as much 2 revenue on doughnuts as muffins If total sales were 44 000 for May what dollar amount of each was sold

A parabola has the equation f x x 3 2 4 Complete The first one is done for you 1 What is the horizontal translation 2 What is the vertical translation 3 What is the vertex 3 to the right The following graphs are translations of y x2 Use them for 4 9 The first one is done for you 0 4 What is the horizontal translation 8 0 7 What is the horizontal translation 5 What is the vertical translation 8 What is the vertical translation 6 What is the quadratic equation 9 What is the quadratic equation Graph the following equations for parabolas 10 y x 1 2 2 11 y x 3 2 4 2

Evaluate the integral x2

A parabola has the equation f x 2 x 3 2 4 Complete 1 The vertex is 3 The function has a minimum value of 2 The graph opens The following graph is a translation of y x Use it for 4 7 4 What is the horizontal translation 5 What is the vertical translation 6 What is the sign of a 7 What is the quadratic equation for the graph Graph the following parabolas 8 y 2 x 2 5 12 9 y x 3 2 A ball follows a parabolic path represented by f x 2 x 4 8 Use this equation for 10 12 10 What is the vertex 11 Graph the parabola 12 Why does the graph stop at x 2 and x 6 12

Use the derivative f x x x 4 x 2 to determine the local maxima and minima of f and the intervals of increase and decrease Sketch a possible graph of f f is not unique The local maximum maxima is are at x Use a comma to separate answers as needed The local minimum minima is are at x Use a comma to separate answers as needed The interval s of increase is are Type your answer in interval notation Use a comma to separate answers as needed The interval s of decrease is are Type your answer in interval notation Use a comma to separate answers as needed Which is a possible graph of f O A O B C Q Q 80 80 G 10 G G O D Q G

csc e cot e sec e

Evaluate the integral 18e e2x 5

a Sketch r 6 6 sin 0 and y on the same diagram b Find the area of the region inside r 6 6 sin 0 and above the line y 2

Use the reduction formula to evaluate the integral Note Use an upper case C for the constant of integration In x dx x ln x n In x 1 In x dr

3 Sketch the graph and show all local extrema asymptotes and inflection points Show your work 15 points y xln 8 x 4 2 1 3 2 1 2 3 5 X 2 3

The form of the partial fraction decomposition of a rational function is given below A 1 B 4 C 0 Now evaluate the indefinite integral 5x 12x 4 x 3 x 4 dx ln x 3 2ln x 4 C 5x 12x 4 x 3 x 4 A Bx C x 3 x 4

Use the graph of the function to evaluate the given expressions f 4 and f 1 f 4 0 f 1 54 3

To date Jay Ward has cumulative earnings of 131 600 This week he is paid 3 000 The total amount of Social Security tax for this week is assume a rate of 6 2 on 132 900 income limit for Social Security and 1 45 for Medicare 186 00 80 60 57 66 180 00

The future value of 6 000 for four years at 8 compounded semi annually will grow to do not include cents or round your calculation 8 991 8 950 8 211 9 990

Maximize z 4x 5y x 5y 40 7x Y VI VI INI 42 Subject to x 0 Y 0 Maximum is x y

MAT 201 1 Find the extreme values of the function and where they occur Show yo work 10 points In x 1 y x 1

Bill Burne s earnings are subject to deductions for Social Security Medicare and FIT This week Bill earns 1 200 Bill who is married is paid weekly and claims three exemptions Assume the Social Security rate is 6 2 and 1 45 for Medicare His net pay for the week is Use Table 9 1 and Table 9 2 in your textbook 528 43 1 026 89 1 690 93 1 609 93

FICA tax base Never changes Changes yearly Changes once every two years Is never more than 60 000 None of these

2 Sketch the graph and show all local extrema and inflection points Show your work 15 points y x 2 6 10 500 250 250 10 500

Al Miler the owner of Al s Garage estimates that he will need 29 000 for new equipment in 15 years Al decides that he will put aside the money now so that in 15 years the 29 000 will be available His bank offers him 10 interest compounded semiannually Al must invest today 6 710 60 6 942 60 6 701 60 125 335 10 None of these