Questions

Find the volume of the solid obtained by rotating the region bounded by about the y axis y 2 sin 6x2 y 0 0 x

A raffle is being held at a benefit concert The prizes are awarded as follows 1 grand prize of 8 400 00 2 prizes of 780 00 8 prize of 92 00 and 12 prizes of 25 00 Suppose 11000 raffle tickets are sold if you buy one ticket for 3 00 then what is your expected profit for this raffle dollar signs in your answer Note Include

Which of the following integrals represents the volume of the solid obtained by rotating the region bounded by the curves y ln x y 0 and x 4 about the y axis 4 A 2 x 4 In x dx 0 B 2 x ln x dx 4 c 2 x 4 In x dr 2 ln x dz D 0 4 E 2 x ln x dx 2 ln x dz

Which of the following integrals represents the length of the curve x y y 1 y 4 A 1 1 5y1 dy B 1 1 y dy c 1 1 4y dy C D 1 1 33 dy E F 1 1 3y dy 4 1 1 2y dy

K Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby This method is designed to increase the likelihood that each baby will be a gir assume that the method has no effect so the probability of a girl is 0 5 Assume that the groups consist of 44 couples Complete parts a through c below a Find the mean and the standard deviation for the numbers of girls in groups of 44 births The value of the mean is u 22 Type an integer or a decimal Do not round The value of the standard deviation is 3 3 Round to one decimal place as needed b Use the range rule of thumb to find the values separating results that are significantly low or significantly high Values of 10 girls or fewer are significantly low Round to one decimal place as needed Values of 26 girls or greater are significantly high Round to one decimal place as needed c Is the result of 31 girls a result that is significantly high What does it suggest about the effectiveness of the method The result Round to significantly high because 31 girls is as needed girls A result of 31 girls would suggest that the method is not

Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the curves y 2 y 0 z 1 and 22 about the line z 4 Volume

1 points A well formed formula consisting of either a 0 place predicate letter or a formula of the form T1 Tn i e an n place predicate letter predicate letter followed by n constants is referred to as a n formula

Which of the following integrals represents the volume of the solid obtained by rotating the region bounded by the curves y x and y 4x 2 about the line x 8 A 2 8 x x 4x x dx B 2 8x 4x r x dr C 2 8x 4x x x dr 3 D 2 x 8 4x x x dx E F 4 27 x 8 4x x 2 dx 0 27 8 2 2 4x x dx

Given the equation y 6 set up an integral to find the length of path from a to z b and enter the integrand below i e if your integral is Lodz enter as your answer dr

The region bounded by y 24 and y sin rz 2 is rotated about the line 3 Using cylindrical shells set up an integral for the volume of the resulting solid The limits of integration are and the function to be integrated is

e the method of cylindrical shells to find the volume generated by rotating the region bounded by the curves y 4 3x 2 and y x 4 about the y axis Below is a graph the bounded region 10 1 0 1

is discrete Use the continuity correction and describe the region of the normal distribution that corresponds to the indicated probabilit Probability of more than 5 passengers who do not show up for a flight Choose the correct answer below OA The area to the right of 4 5 OB The area to the right of 5 5 OC The area to the left of 5 5 OD The area to the left of 4 5 OE The area between 4 5 and 5 5

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis about the y axis Volume y 1 x y 0 x 1 x 6

The indicated IQ score is Round to the nearest whole number as needed deviation of 15

Return on Investment and Residual ome Johnson Company has two sources of funds long term debt and equity capital Johnson Company has profit centers in the following locations with the following net incomes and total assets Las Vegas Net Income Assets 1 310 000 4 000 000 1 550 000 8 000 000 Dallas Tampa 2 390 000 12 000 000 a Calculate ROI for each profit center and rank them from highest to lowest based on ROI Round ROI to the nearest whole percentage Las Vegas Dallas Tampa ROI Rank 0 0 0 b Calculate residual income for each profit center based on a desired ROI of 5 and rank them from highest to lowest based on residual income RI Rank

The indicated z score is Round to two decimal places as needed

minutes Find the probability of selecting a class that runs between 50 75 and 51 0 minutes Round to three decimal places as needed given class period runs between 50 75 and 51

5 Proof by smallest counterexample Prove the following using smallest counterexample 6 n n21 for every positive integer n Note that we will cover proof by strong induction in the number theory homework 00 You got this

Find the exact value of the trigonometric expression without the use of a calculator 5 AD 5 sin COS cos sin 12 12 8 8 8 8 0 Simplify your answer including any radicals Use integers or fractions for any numbers in the expre

4 Proof by induction Assume n is a positive integer Use induction to prove the following 1 5 9 4n 3 2n2 N

2 Pigeonhole principle Prove that if seven distinct numbers are selected from 2 3 4 12 then some two of these numbers will add up to 14 you can assume that the 7 can be picked up more than once Identify the pigeons and the holes Then using the Pigeonhole Principle prove that the statement is true

The probability is Type an integer or a simplified fraction

Complete the statement below Given that cos 3 i sin 3 130 i Then cos 3 i sin 3 is a n th root of

K fly selected 45 say job applicants should follow up within two weeks If 8 human resource managers are randomly selected find the probat exactly 6 of them say job applicants should follow up within two weeks The probability is Round to four decimal places as needed

Columbia class of 2024 has 1 800 students coming from the fifty US states Must the class have a group of at least 36 students from one state Use Generalized PHP

Find the Lateral Surface Area and the Total Surface Area of The Prism 2 5 ft 6 ft

A modified roulette wheel has 28 slots One slot is 0 another is 00 and the others are numbered 1 through 26 respectively You are placing a bet that the outcome is an odd number In roulette 0 and 00 are neither odd nor even a What is your probability of winning The probability of winning is Type an integer or a simplified fraction b What are the actual odds against winning The actual odds against winning are c When you bet that the outcome is an odd number the payoff odds are 1 1 How much profit do you make if you bet 12 and win If you win the payoff is d How much profit should you make on the 12 bet if you could somehow convince the casino to change its payoff odds so that they are the same as the actual odds against winning

ected 26 old female lives through the year An insurance company wants to offer her a one year policy with a death benefit of 1 000 000 How much should the compa charge for this policy if it wants an expected return of 300 from all similar policies The company should charge Round to the nearest dollar

used a meter to test three wires at a time How many different tests are required for every possible pairing of three wires The number of tests required is

Determine whether the following procedure results in a binomial distribution or a distribution that can be treated as binomial by applying the 5 guideline for cumbersome calculations If it is not binomial and cannot be treated as binomial identify at least one requirement that is not satisfied Surveying 50 homemakers and recording how satisfied they are with their toaster on a scale from 1 to 5 Choose the correct answer below OA It is binomial or can be treated as binomial OB It is not binomial because the probability of success does not remain the same in all trials OC It is not binomial because there are more than two possible outcomes and the trials are not independent OD It is not binomial because there are more than two possible outcomes

vers were screened and 7 were arrested for driving while intoxicated Based on those results we can estimate that P W 0 01043 whe W denotes the event of screening a driver and getting someone who is intoxicated What does P W denote and what is its value What does P W represent OA P W denotes the probability of screening a driver and finding that he or she is not intoxicated O B P W denotes the probability of driver being intoxicated OC P W denotes the probability of a driver passing through the sobriety checkpoint OD P W denotes the probability of screening a driver and finding that he or she is intoxicated PW

an equation for the graph sketched below 00 8 69 4 122 3 5432 12 6

Solve the following equation graphically over the interval 0 2 In 2x sin 2x The solution set is

man www The number of different ways that the letters of wireless can be arranged is Simplify your answer

Pyruvate reacts with which absorbs visible light at nm a a Malonate 450 b ATP 480 c DNPH 510 d PEP 510 Question 6 1 point Listen A What is Vmax a The velocity at which enzyme E is saturated with substrate S b The initial velocity of the enzyme at v S One half of the limiting enzymatic rate

For all equations written in terms of 8 find all degree solutions from 0 0 to 0 360 If the equation is written in terms of x write your solutions in radians using exact values for 0 x 2 1 3 sec 2 2 2 csc 0 2 3 V2 csc x 5 3 4 2 3 sec x 7 3 5 4 sin x 2 csc x 0 6 4 cos x 3 sec x 0 7 sec 0 2 tan 0 0 8 csc 0 2 cot 0 0 9 sin 20 cos 0 0 10 2 sin sin 20 0 11 2 cos 0 1 sec 0 12 2 sin 0 1 csc 0

You have isolated the enzyme Milleniase from the rare Y2K bug This enzyme cleaves the first two numbers off of four digit dates You flex your skills as an enzymologist and come up with the following graph of initial velocity as a function of substrate concentration A 40 35 30 25 20 15 10 5 0 10 20 30 40 50 60 S From the graph estimate KM a 5 b 7 c 35

For all equations written in terms of 6 find all degree solutions from 0 0 to 360 If the equation is written in terms of x write your solutions in radians using exact values for 0 x 2 1 3 sec 2 2 2 csc 0 2 3 V2 cscx 5 3 4 2 3 sec x 7 3

39 Physiology In the human body the value of 0 that makes the expression below equal to zero is the angle at which an artery of radius r will branch off from a larger artery of radius R in order to minimize the energy loss due to friction Show that the expression below is 0 when cos 0 A csc 0 R4 csc 0 cot R4

For retirement you deposited 27 per month into an IRA with 3 3 interest over thirty seven years How much money will you pay over that time Select one Oa 21 680 90 O b 35 824 77 O c 14 222 29 Od 19 840 29

O alyzes a The final step of glycolysis b None of these c The final step of the citric acid cycle d The first step of glycolysis Question 2 1 point Listen Tertiary structure of an enzyme forms the catalytic center that is called a Inhibitory site b Negative site c Neutral site

It suggests that binding of substrate changes shape of enzyme s active site or of the substrate in order to speed up a reaction in a Lock and key model b Induced fit model c Enzyme affinity model d Michaelis Menten kinetics Question 4 1 point Listen The concept of KM is a the product concentration b the substrate concentration from which VMAX is attained c none of these

23 sin cos 0 v

19 4 sin x 4 cos x 5

27 3 sin cos 0 0

You have isolated the enzyme Milleniase from the rare Y2K bug This enzyme cleaves the first two numbers off of four digit dates You flex your skills as an enzymologist and come up with the following graph of initial velocity as a function of substrate concentration 40 35 A 30 25 20 15 10 5 0 0 10 What is the approximate value of Vmax a 5 b 17 c 35 7 20 20 30 S 40 50 60

Find the possible rational zeros and all actual zeros Let d x x 3 3x 2 8x 10

Birim emberde Trigonometrik Oranlar 6 X m Yukar daki O merkezli birim emberde cos 34 du una g re n ka t r 1 1 edmeid its B C D 7 bri E 3 cunia Claim

Velocity is measured by a None of these b Concentration of product moles reaction time min c Moles Liter d Amount of product mol reaction time min

What is the best combination of Vmax KM for enzymes a Low Vmax High KM b High Vmax Low KM c Low Vmax Low KM d High Vmax High KM