Questions

Multiply Simplify your answer 10s 3su 6u

True or False A polynomial function with integer coefficients can have bot rational and irrational zeros True False

True of False The graph of a rational function can cross its horizontal asymptote True False

a Let p represent the proportion of all judges who are introverts Find a point estimate for p Round your answer to four decimal places x You may have rounded in the wrong direction b Find a 99 confidence interval for p Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to two decimal places Give a brief interpretation of the meaning of the confidence interval you have found O We are 99 confident that the true proportion of judges who are introverts falls outside this interval We are 99 confident that the true proportion of judges who are introverts falls within this interval O We are 1 confident that the true proportion of judges who are introverts falls above this interval O We are 1 confident that the true proportion of judges who are introverts falls within this interval c Do you think the conditions np 5 and ng 5 are satisfied in this problem Explain why this would be an important consideration Yes the conditions are satisfied This is important because it allows us to say that p is approximately normal O Yes the conditions are satisfied This is important because it allows us to say that p is approximately binomial No the conditions are not satisfied This is important because it allows us to say that p is approximately normal O No the conditions are not satisfied This is important because it allows us to say that p is approximately binomial

Sketch the graph of a rational function y f x that meets ALL of the following conditions x 3 is a zero of multiplicity 1 x 3 is a zero of multiplicity 1 yoo as x 1 yoo as x 1 yoo as x 4 yoo as x 4 y0 as x

You may need to use the appropriate appendix table or technology to answer this question In the past 26 of all homes with a stay at home parent the father is the stay at home parent An independent research firm has been charged with conducting a sample survey to obtain more current information a What sample size is needed if the research firm s goal is to estimate the current proportion of homes with a stay at home parent in which the father is the stay at home parent with a margin of error of 0 04 Use a 95 confidence level Round your answer up to the nearest whole number b Repeat part a using a 99 confidence level Round your answer up to the nearest whole number

15 Make a Substitution to express the integrand as a rational function and than evaluate the integral COSX Act sin 8 Absin J N sin x 15inx dx A floss and 1 cosx COST 2x 8 8

Multiply Write your answer in simplest form 92 9 4935 1

Simplify Express your answer as a single fraction in simplest form z 4 7z 6z 7

Divide Write your answer in simplest form 5g 3 3g 1 5g 2 3g 1

Simplify Express your answer as a single fraction in simplest form 2c C 2 C 2 c

The Little Hungry Caterpillar ate 1 apple on Monday 2 apples on Tuesday 1 on Wednesday 4 on Thursday 2 on Friday 5 on Saturday and 6 on Sunday 1 10 points Provide as many descriptive statistics for this dataset as you can 2 2 points Draw a chart that you think best illustrates what happened 3 8 points I had a theory that drinking snake oil would improve students academic performance To test my theory I selected 3 healthy male volunteers from my class of 29 and gave each of them a glass of snake oil daily for 100 days The point score for the semester of one of those volunteers was 1 higher than the class average the other two died of stomach ulcers before the final exam and were excluded from data analysis and from the paper I wrote about my tudy Since I had a large sample size 300 and the positive effect was obvious I patented my method and made billions selling snake oil List at least 8 flaws in my study

Divide Write your answer in simplest form 3j 4 3j 2 9j 18j 8

Determine the series of the Given function g x In 1 7x

Multiply Write your answer in simplest form 8 7 3w 4 5w2

Simplify Express your answer as a single fraction in simplest fe 3u 9 10u 4 5 2u 10

A C 6 in 175 lb in 12 in 12 in B 100 lb in

18 The form of the partial fraction expansion of the rational function A none B Ax B b x 2 A x 1 x244 B Ax B Cx D X 1 2 is C A B l X274 x 1 x 1 x 2 X72 DAB x 4 X 1 X 2 BICID D A B Cx b x 1 X 1 2 x2 4 EA Bxt C Cx b x 1 X 1 2 x2 44

14 Select the appropriate substitution that would Simplify the evalution of the integral I since 0 1 COS 0 do A non B u COSCO C U COS 0 E u 1 cos 0 b u sincol

Drag the tiles to the correct boxes to complete the pairs Not all tiles will be used C B 90 5 3 Match the trigonometric ratios with their values based on the triangle shown in the diagram sin D cos Cx tan D sin C sin D x cos D tan Cx tan D 22 310 199

S 7 Find the integral x dx using substitution The resulting integral is 1 x2 Anone B S4 du C f1 zdu b f4 zdu E Sth ou Sz 2u 20 2 4 42 1 2 4 421782 Ou ax du

2 The appropriate substitution for the integral S cos 6 x Sin x dx is and the resulting integral is A U COSCX1 C none B Ul sin x D u cos MECOSX A U COSA S4 1 105t du 48 46 A U cos x Ju u du coscx Su urdu B u sin x Su u du C none 4 COSX e Sinx dx 48 46 E U sin x su uo du 46 48 du S46 1 cos x du

5 Find the integral 8x 1 dx x 3 x 2 A 8 n X 31 n 1x 2 C B 51n x 31 3 n x 21 C c In 1x 31 3 n 1x 21 C b none 15 Jx x 3 x 2x 1230x 63 6 E 3 n 1x 31 5 n x 21 C 51n1X 31 31n1x 2 C

V 6 Evaluate the integral 2 I sec x tan x dx

12 Evaluate the indefinite integral S 8 04 18 972 9 C 15 2

bers use the assumed values and only 1 section Otherwise the math will not work 75 lb L K H A B C D E F 4 ft 4 ft 4 ft 4 ft 4 ft 4 ft 3 15 lb 55 lb 25 lb 35 lb 6 ft

43 Use integration by parts to evaluate the integral S x e 4 x d x e4ex C 4 Sxe 4xdn xe 4x feux dx xe 4x 4 4n

M For each of the indefinite integrals below choose which of the following substitution would be most helpful in evaluating the integral enter the appropriate A x 7tan o 16 7 sino C x 7seco C B 1 SX 1 5 x 2 dx 2 5 x2 440x 49642 A 3 S 1491213 4 x 49 512x 51x2 dr A

Simplify Express your answer as a single fraction in simplest form P 2p 12p 24 4p 8

The number of hits on a certain website follows a Poisson distribution with a mean rate of 3 per minute Part A Define a function for calculating the probability of poisson distribution def poisson manual x lmbd Define poisson distribution based on x and lambda You can assume that x is a non negative intege You may want to use following functions math e math factorial Inputs x x lambda Lmbd Output prob I

Simplify Express your answer as a single fraction in simplest form b 5b b 2

Simplify Express your answer as a single fraction in simplest form a 9 a 10

Consider the data set represented by the dot plot 500 1000 Which word best describes the red data point Outlier Absolute Deviation Unbalanced Third quartile 1500

1 Find the area of the cross section of the rectangular prism shown below Round all calculations to the nearest tenth 11 cm 8 cm 15 am Note The figure is not drawn to scale a 187 cm b 139 7 cm c165 cm d 255 cm

125 lb H 75 lb G FL A B C ID 4 ft 4ft 4 ft 4 ft 4ft 90 lb 4 ft EI

PART 7 METAPHASE II for 2n 4

a Homologous Chromosomes Before Replication b Homologous Chromosomes After Replication c Diploid Somatic Cell 2n 4 after DNA Replication PART 2 MEIOSIS PREPARATION a A cell 2n 4 at Metaphase 1 of Meiosis b How do you indicate homologous pairs of chromosomes Where did this organism get each member of a homologous pair of chromosomes ART 3 MEIOSIS 2n 10 complete on separate pieces of paper and attach to lab results

3 M 3 0 N 5 2 O 3 4 P 1 2 MN slope MN OP slope OP MP slope MP NO slope NO

Find the zeros of the function f x x 7x 7 Round values to the nearest hundredth if necessary Answer Attempt 1 out of 2

Find M14 and M33 for matrix A 96 00 1 2 00 A 8 66 9 5 3 M14 12 M33 40

Find the first derivitative example g 1 1 x 2

21 4 Describe two groups of microbes at the vents along with their metabolic activities that facilitate symbiosis and or genera metabolism in these communities How do these organisms interact with the biogeochemistry at the vents and in the deep ocean Ch 21 How does the structure of the host and microbe impact functionality of the symbiosis

2 2x 2 3 dx x 3x

J 2 Improper integrels edx x4 2

Question Find the zeros of the function f 2x 16 8x 31 Round values to the nearest hundredth if necessary Answer Attempts out of 2

Question Watch Vide Show Exam Using the rational root theorem list out all possible candidate rational roots of f x 5x 222 3r 23 Express your answer as integers or as fractions in simplest form Use co to separate

Question Given 0 simplify 25x10 completely Answer Attempt 1 out of 2

4 A ballon being filled at rate of rct liters per sec Starting with a volume of o liters at time t 0 What is an expression that represents the volume of the ballon after 2 min in liters 2 A S r of 120 of B So randt C fire rus of E none

Consider the following recursive function fun x y What is the value of fun 4 3 int fun int x int y if x O return y return fun x 1 x y O 10 O 11 O 12

Which do you think is most deadly A Ground shaking B Liquefaction C Fire D Tsunami E Landslides