Thursday

November 27, 2014

November 27, 2014

Number of results: 2,304

**mathematics - sinusoidal curves**

Owen is jumping on a trampoline. When his feet hit the deck of the trampoline, the material depresses to a minimum height of 2cm. On average, Owen is reaching a maximum height of 200cm every 10 seconds. Determine the equation of a sinusoidal function that would model this ...
*May 5, 2012 by arnab*

**mathematics - sinusoidal curves**

The propeller of a boat at dock in the ocean will rise and fall with the waves. On a particularly wavy night, the propeller leaves its resting position and reaches a height of 2m on the peaks of the waves and -2m in the troughs. The time between the peak and the trough is ...
*May 5, 2012 by arnab*

**MATH SINUSOIDAL APPLICATION**

Would pulling a roll of thread create a sinusoidal function? please suggest some real life application of sinusoidal wave that i can experiment with...
*October 4, 2013 by Anonymous*

**university mathematics**

find the area enclosed between the following curves:- Y= lnx and y= -2x+3 and the ordinate x=3
*November 1, 2011 by anonymous*

**university mathematics**

Integration Applications: find the area enclosed by the following curves:- Y= lnx and y= -2x+3 and the ordinate x=3
*November 2, 2011 by Avi*

**maths**

determine the co-ordinate of the poin of intersection of the curves y=x*x and y*y=8x. sketch the two curves and find the area enclosed by the two curves.
*February 7, 2011 by patrick*

**Pre cal**

In a sinusoidal,function, how do you determine whether or not y= sin4(x) has a period of 2 pi If it is equal to 2 pi then what is a sinusoidal function that is not equal to 2 pi
*March 11, 2014 by Lannah*

**physics**

Given that x=Acos(wt) is a sinusoidal function of time, show that v(velocity) and a(acceleration) are also sinusoidal functions of time. (HINT: Use v=square root [(k/m)(A^2-x^2)] and a=(-k/m)X The hint tells you what to do: put Acoswt for X. A second way which is easier is in ...
*March 15, 2007 by steph*

**Trig**

I was wondering, is a sinusoidal function an algebraic model? Or, on the other hand, is there a way to derive an algebraic model from a sinusoidal function?
*May 29, 2014 by Lima Bean*

**Mathematics**

Among 500 freshmen pursuing a business degree at a university, 313 are enrolled in an economics course, 205 are enrolled in a mathematics course, and 153 are enrolled in both an economics and a mathematics course. What is the probability that a freshman selected at random from...
*February 20, 2011 by Anonymous*

**calculus**

two curves are orthogonal at a point of intersection of their tangents at that point cross at right angles. Show that the curves 2x^2+3y^2=5 and y^2=x^3 are orthogonal at (1,1) and (1,-1). Use parametric mode to draw the curves and to show the tangent lines
*November 15, 2011 by Anonymous*

**Maths**

what are the meanings of Mathematics of Buying and Mathematics of Selling, using language from the Business Mathematics aspect.
*December 26, 2011 by ummu*

**Trig**

Hi, I would like to ask anyone available a quick question. How would I explain WHY it is that the data/function of average monthly temperatures for a location are a sinusoidal function? I am having trouble phrasing and explaining it, although I am aware that it is in fact ...
*May 29, 2014 by Lima Bean*

**Calculus-Area between curves **

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=4*sqrt(x) , y=5 and 2y+4x=8 please help! i've been trying this problem the last couple days, even asked a TA for help, but i can't arrive at...
*November 21, 2013 by Chrissy*

**CALCULUS **

Sketch the region enclosed by the given curves. y = 4/X y = 16x, y = 1X/16 x > 0 and the area between the curves
*April 12, 2014 by LAUERN PLEASE HELP *

**economics**

if ad1 and as1 are the before curves and ad2 and as2 are the after curves how is this graph set up
*October 24, 2010 by misty*

**physics**

A point on a string undergoes simple harmonic motion as a sinusoidal wave passes. When a sinusoidal wave with speed 24 m/s, wavelength 30 cm, and amplitude of 1.0 cm passes, what is the max speed of a point on the string?
*September 24, 2010 by Willie*

**probability**

out of 250 students interviewed at a community college, 90 were taking mathematics but not computer science, 160 were taking mathematics, and 50 were taking neither mathematics nor computer science. Find the probability that a student chosen at random was a. taking just ...
*October 27, 2011 by Emma*

**Calculus-check my answers please**

dy/dx= (y^2 -1)/x 1. Give the general equation of the curves that satisfy this equation. 2. Show that the straight lines y=1 and y=-1 are also solutions 3. Do any of the curves you found in 1) intersect y=1? My Ans: 1. The general solution i found out to be x^2 + C = (y-1)/(y+...
*November 7, 2006 by Hebe*

**calculus**

Consider the curves y = x^2and y = mx, where m is some positive constant. No matter what positive constant m is, the two curves enclose a region in the first quadrant.Without using a calculator, find the positive constant m such that the area of the region bounded by the ...
*March 4, 2012 by John*

**trig**

1. Write a sinusoidal function for the function with a period of 6. The function has a max of 3 at x=2 and a low point of -1. 2. Write a sinusoidal function for the function with a period of 5. The function has a max of 7 at x=1. explain it in full detail please
*April 26, 2009 by Ske*

**Calculus 3**

Given the function f(x,y)=y/(x^2+y^2), give and identify the level curves for k=1, k=1/2, and k=1/4, and draw a contour map showing these level curves. Any help would be immensely appreciated. Thanks
*February 26, 2012 by Anonymous*

**Calculus (Area Between Curves)**

Find the area of the region bounded by the curves y^2=x, y-4=x, y=-2 and y=1 (Hint: You'll definitely have to sketch this one on paper first.) You get: a.) 27/2 b.) 22/3 c.) 33/2 d.) 34/3 e.) 14
*February 29, 2012 by Mishaka*

**math-calculus 2**

Consider the given curves to do the following. 64 y = x^3, y = 0, x = 4 Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about y = 1.
*June 21, 2013 by Biff*

**calculus please help asap**

true or false questions: a)The derivatives of the reciprocal trigonometric functions can be found using the chain rule and their related base functions. b) A sinusoidal function can be differentiated only if the independent variable is measured in radians. c) There are an ...
*October 31, 2014 by Tina*

**Managerial Economics**

When developing short-run cost curves, it is assumed that all firms in perfect competition have the same cost curves and they all make identical short-run profits or losses. Contrast this to the real world and why individual firms might experience different cost curves and ...
*November 14, 2011 by Cindy*

**Physics**

A car travels the same distance at constant speed around two curves, one with twice the radius of curvature of the other. For which of these curves is the change of the velocity of the car greater? Explain.
*March 8, 2012 by Nikki*

**Maths**

Among the examinees in an examination 30%, 35% and 45% failed in Statistics, in Mathematics, and in at least one of the subjects respectively. An examinee is selected at random. Find the probabilities that a. He failed in Mathematics only b. He passed in Statistics, if it is ...
*October 9, 2010 by Neeraj Bhanot*

**IGNOU probability**

Among the examinees in an examination 30%, 35% and 45% failed in Statistics, in Mathematics, and in at least one of the subjects respectively. An examinee is selected at random. Find the probabilities that a. He failed in Mathematics only b. He passed in Statistics, if it is ...
*October 15, 2010 by Dharmenra*

**economics**

For the total variable cost (TVC), draw a positive total fixed cost (TFC) and total cost (TC) curves. Then derive the associated marginal cost (MC), average total cost (ATC), average variable (AVC) and average fixed cost (AFC) curves. Be sure to capture and explain the ...
*February 12, 2012 by Daca*

**calculus**

consider the area enclosed between the curves f (x) = x2 and g (x) = 4x what is the volume obtained by revolving the area between these two curves around the line y = 20 ? please help, i don't know what to do
*February 2, 2010 by amy*

**calculus**

consider the area enclosed between the curves f(x)=x^2 and g(x)=4x what is the volume obtained by revolving the area between these two curves around the line y=20 ? please help, i don't know what to do
*February 2, 2010 by amy*

**Calculus Area between curves**

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 3y+x=3 , y^2-x=1
*November 21, 2013 by Amy*

**math**

consider the area enclosed between the curves f (x) = x2 and g (x) = 4x what is the volume obtained by revolving the area between these two curves around the line y = 20?
*February 2, 2010 by amy*

**MATH**

Danny is measuring the loudness of a police siren. At t=2 seconds, the siren's loudness is at its maximum of 112 dB for the first time. At t=7 seconds, the siren's loudness is at its minimum of 88 dB for the first time. The loudness is a sinusoidal function of time, t. In the ...
*December 10, 2009 by SC*

**Calculus (Area Between Curves)**

Find the area of the region IN THE FIRST QUADRANT (upper right quadrant) bounded by the curves y=sin(x)cos(x)^2, y=2xcos(x^2) and y=4-4x. You get: a.)1.8467 b.) 0.16165 c.) 0.36974 d.) 1.7281 e.) 0.37859
*February 29, 2012 by Mishaka*

**mathematics**

how can you do the lcm to somethimg like 12000 without having to do all of that mathematics just to make it quicker?
*September 10, 2007 by alana*

**MATH**

Region A that on xy-plane is bounded by two (2) curves and a line. The curves are y=x^3-2x+3 and y=-x^2+3 while the line is x=0. It is located in the first quadrant of xy-plane. Determine the area of region A.
*April 7, 2011 by AIRA*

**University studies**

According to the Center for Mathematics Excellence, which of the following is a math myth? A. Knowing the rules and how to use them is the most important part of math. B. Even people who are highly skilled in mathematics and science find these subjects to be challenging C. ...
*November 3, 2011 by lil Bee*

**mathematics**

how do I cope with intermediate mathematics e.g log rhythms?
*October 16, 2012 by Aron*

**Math**

In a class of 550 students, students may take all, none, or a combination of courses as follows.? Draw a Venn diagram to find how many students are not in any of these courses. Mathematics-280 Science-200 Technology-230 Mathematics and Technology-110 Science and Technology-100...
*June 9, 2009 by Angie*

**math**

500 students sat for an examination in mathematics,physics and chemistry.45 passed all the three subject,60 passed mathematics and chemistry,70 passed physics and chemistry,50 passed mathematics and chemistry,10 passed in mathematics,80 passed in chemistry and 35 passed at ...
*November 13, 2011 by damilola*

**Math Essay**

I have to write this paper over the history of math, can you please give me some other websites that I can use? So far I have one website from wikipedia. Also, can you please read my introduction? As of today, there are plenty of new developments in the area of Mathematics. ...
*November 9, 2007 by Soly*

**mathematics**

why would someone study mathematics
*April 30, 2009 by stac*

**microeconomics**

If the technology for producign a good improves and at the same time,the price of a substitute good falls, then the quantity bought and sold of the first good will increase. True, False, or Uncertain. Explain. Take a shot. Hint: draw existing supply and demand curves. Then ...
*February 8, 2007 by Brittany*

**economy**

Question 10 (1.00 points) Reference: F11061 Refer to the above diagrams, in which AD1 and AS1 are the "before" curves and AD2 and AS2 are the "after" curves. Other things equal, a decrease in resource prices is depicted by: a. panel (A) only. b. panel (B) only. c. panel (C) ...
*August 23, 2009 by Anonymous*

**Calculus [rotation of region bounded by curves]**

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=3x^2, x=1, y=0 about the x-axis
*November 30, 2012 by Ali*

**mechanics**

Sketch two S-N curves on the same axis, one for a metal with an endurance limit and one for a metal without an endurance limit. Mark any points of interest on the curves.
*February 24, 2013 by dmkp*

**MATH**

Determine an equation of a sinusoidal function that has a maximum at (5, 4) and a minimum at (2, -10).
*July 15, 2013 by ROBIN*

**Calculus (Area Between Curves)**

Find the area of the region IN THE FIRST QUADRANT (upper right quadrant) bounded by the curves y=sin(x)cos(x)^2, y=2xcos(x^2) and y=4-4x. You get: a.)1.8467 b.) 0.16165 c.) 0.36974 d.) 1.7281 e.) 0.37859 Based on my calculations, I would say that the answer is e.) 0.37859. I ...
*February 29, 2012 by Mishaka*

**CALCULUS ONE!**

The graph of sinx and cosx intersect once between 0 and pi/2. What is the angle between the two curves at the point where they intersect? (You need to think about how the angle between two curves should be defined).
*October 18, 2011 by Sara*

**Elementary Mathematics**

How can a teacher help a student develop a strong understanding of the operations and of number relationship in Mathematics? This was a very interesting question, but I am having a hard time answering it. Need your help... Thanks alot!!!
*March 11, 2008 by Monica*

**econ - demand and supply**

just a few questions that would like to double check my answer For each of the following cases, sketch a supply and demand curve for the specified industry and show how each event will shift the curves. (Be sure to label all curves)! State what occurs to the Q and P for each ...
*March 20, 2007 by tofu*

**mathematics **

MATHEMATICS PLEASE HELP ME!!! In an arithmetic series the 3rd term is twice the 8th term find the first 25 terms
*March 6, 2014 by brad johnson*

**Algebra 1**

Write an equation for for each translation of y=|x| 1. left 2 units y = |x| consists of two 45 degree curves joined at the origin: y = x for x>0, and y = -x for x < 0. To move the curves to the left 2 units, you want the sign of the term inside the absolute value sign to...
*January 7, 2007 by Mike*

**mathematics**

what are the 20 terms that are used in mathematics
*June 9, 2011 by renee*

**Calculus - please help!**

Suppose that 0 < c < ¥ð/2. For what value of c is the area of the region enclosed by the curves y = cos x, y = cos(x - c), and x = 0 equal to the area of the region enclosed by the curves y = cos(x - c), x = ¥ð, and y = 0? i have no idea how to solve this question.
*November 25, 2010 by K*

**math**

In a group of 105 students, 70 students passed Mathematics, 60 students passed History and 45 students passed Geography; 30 students passed Mathematics and History, 35 students passed History and Geography, 25 passed Mathematics and Geography, and 15 passed all three subjects...
*January 23, 2014 by Lucas*

**Math**

In a group of 105 students, 70 students passed Mathematics, 60 students passed History and 45 students passed Geography; 30 students passed Mathematics and History, 35 students passed History and Geography, 25 passed Mathematics and Geography, and 15 passed all three subjects...
*January 24, 2014 by Lucas*

**math**

how to find the first three zeros to the right of origin in a sinusoidal function?
*December 13, 2011 by justme*

**AED**

What are some appropriate and effective ways to use technology in the mathematics classroom? How can you ensure that students do not depend too heavily on technology to complete mathematics assignments?
*November 17, 2008 by troyer0269*

**AED**

What are some appropriate and effective ways to use technology in the mathematics classroom? How can you ensure that students do not depend too heavily on technology to complete mathematics assignments?
*November 19, 2008 by troyer0269*

**math, adult education**

If I take 0 out of arithmetic then what do I have left mathematically? What is the name for the mathematics that does not have zero in it? Is this mathematics used in the real world?
*March 1, 2009 by B.J.*

**Calculus (Area Between Curves)**

Find the area of the region bounded by the curves y=x^(-1/2), y=x^(-2), y=1 and y=3. You get: a.) 1/2(sqrt(3)) + 4/3 b.) 2(sqrt(3)) - 8/3 c.) 1/2(sqrt(3) - 32/3 d.) 2(sqrt(3)) - 32/3 e.) 8/3 - 2(sqrt(3))
*February 29, 2012 by Mishaka*

**physics**

The curves on a race track are banked to make it easier for cars to go around the curves at high speed. Draw a free-body diagram of a car on a banked curve. From the motion diagram, find the direction of the acceleration. (a) What exerts the force in the direction of the ...
*November 30, 2010 by max*

**physics**

The curves on a race track are banked to make it easier for cars to go around the curves at high speed. Draw a free-body diagram of a car on a banked curve. From the motion diagram, find the direction of the acceleration (a) What exerts the force in the direction of the ...
*November 30, 2010 by max*

**11th grade**

The curves on a race track are banked to make it easier for cars to go around the curves at high speed. Draw a free-body diagram of a car on a banked curve. From the motion diagram, find the direction of the acceleration (a) What exerts the force in the direction of the ...
*November 30, 2010 by max*

**mathematics**

A book seller purchased 117 books out of which 45 books of mathematics and 72 books of physics.Each book has same size .Mathematics and Physics books are to be packed in bundles and each bundle must contain same no. of books.Find the least number of bundles which can be made ...
*September 23, 2013 by help(in much need)!!!!!!!!!!!!!!!!!!!!*

**Maths**

in a school,7/10 of the pupils like mathematics. half of those who like mathematics are girls.if there are 240 pupils in the school,how many girls like mathematics
*April 25, 2012 by Daisy*

**economics **

2. Suppose that the quantity of corn supplied depends on the price of corn, p; and the amount of rainfall, R: The demand for corn depends on the price of corn, p; and the level of income, Y: The equations that describe the supply and demand relationships are Qs = 20R+100p Qd...
*February 4, 2011 by yas*

**AED**

Post your response to the following: The introduction of calculators and computers into the mathematics classroom has made it faster and easier for students to complete difficult problems. Technology should not, however, replace the students’ understanding of basic ...
*November 19, 2008 by troyer0269*

**8th grade math**

At Maryland Middle School, there are 9 mathematics classes. If two mathematics classes are selected for a school competition, what is the number of possible outcomes?
*February 21, 2012 by Piggy*

**math**

At Maryland Middle School, there are 9 mathematics classes. If two mathematics classes are selected for a school competition, what is the number of possible outcomes?
*March 7, 2010 by ana*

**Economics**

What would a graph illustrating private demand and supply curves in the marketplace for education look like? Like any other generic supply and demand curves. Put price of private education (e.g., tuition) on the y-axis, quantity of education (e.g., number of students) on the x...
*December 13, 2006 by Allie*

**Mathh**

The temperature in a certain cave is a sinusoidal function of time. When you first enter the cave, you set up a thermometer to record the temperature. After 19.5 hours, the temperature in the cave is at its maximum: 35 degrees celsius. The temperature then dropped, reaching ...
*December 8, 2009 by SC*

**mathematics**

1. In an examination conducted for 80 candidates, those who passed in mathematics were 17 more than those who passed science and 9 failed both subjects.14 candidates passed both subjects. I. Draw a venn diagram to illustrate this information II. How many students passed in ...
*October 30, 2011 by partey*

**women mathematician**

any idea of what mabel schmeiser barnes' field of mathematics was? any information on her parents and if she had siblings? major contributions to world of mathematics? i could only find one good site but i couldn't find anything that helped with my questions...
*March 11, 2009 by Ty*

**Early Childhood Ed.**

When children play-act and make change in an imaginary grocery store located in a theme corner, they are integrating which? 1. technology and creative drama 2. language and science 3. mathematics and creative drama 4. mathematics and nutrition Wouldn't they be integrating ...
*April 1, 2007 by Kendra*

**Macroeconomics**

You want to determine the profit-maximizing production quantity for a monopolist. You can ask the firm's consultant to draw the firm's revenue and cost curves, but each curve would cost you $1,000. From the following list indicate which curves you will request and why? a) ...
*July 10, 2012 by Heather*

**econ**

You want to determine the profit-maximizing production quantity for a monopolist. You can ask the firm's consultant to draw the firm's revenue and cost curves, but each curve would cost you $1,000. From the following list indicate which curves you will request and why? a) ...
*April 12, 2014 by bob*

**Macroeconomics**

I need help to answer this question? You want to determine the profit-maximizing production quantity for a monopolist. You can ask the firm's consultant to draw the firm's revenue and cost curves, but each curve would cost you $1,000. From the following list indicate which ...
*April 12, 2014 by bob*

**Economics**

Can someone help me with this question..Pleaseeee!! Suppose a government moves to reduce a budget deficit. Using the long-run model of the economy developed in Chapter 3, graphically illustrate the impact of reducing a government's budget deficit by reducing government ...
*October 24, 2010 by Steph*

**Pre cal**

a sinusoidal function has a local maximum at (0,2) and the next minimum at (Pi/4, -2). a correct equation for the function is
*July 24, 2011 by Angela*

**physics (please help)**

Two identical but separate strings, with the same tension, carry sinusoidal waves with the same frequency. Wave A has an amplitude that is twice that of wave B and transmits energy at a rate that is _____ that of wave B. a)half b)twice c) one-fourth d)four times e) eight times...
*February 13, 2007 by susan*

**Personal Dimension of Educatio**

Select the sentence that has correct subject-verb agreement. 1. Applied mathematics was my major in college. 2. Applied mathematics were my major in college. My answer is 1
*November 16, 2012 by Jackie*

**Maths**

1. Sketch the curves y=e^x and y=e^-2x, using the same axes. The line y=4 intersects the first curve at A and the second curve at B. Calculate the length AB to two decimal places. 2. Find the coordinates of the turning point on the curve y=2e^3x+8e^-3x and determine the nature...
*February 18, 2009 by Anonymous*

**GEOMETRY**

Decide which of the variables described is likely to have a normal or near-normal distribution. a. The number of courses remaining until graduation for the students in a small liberal arts college b. The SAT mathematics scores for students in an advanced placement mathematics ...
*March 28, 2010 by ISOFI *

**math algebra 1**

Who is the inventor of the FOIL method? some one answer me!! The history of mathematics in India is ancient. The Hindu Vedic tradition is an oral tradition of knowledge passed down in short verses, dating to before the invention of paper. The Vedas encompass a broad spectrum ...
*May 21, 2007 by amy*

**MICROeconomics**

It has been estimated that the world demand for wheat can be represented by thefunction P = 80 - 2Q. It has been further found that the countries supplying thismarket have marginal cost curves which when summed together are given by theequation MC = 5 + Q What price and output...
*October 26, 2006 by whhgn*

**physics**

A sinusoidal voltage Δv = (65 V) sin (140t) is applied to a series RLC circuit with L = 100 mH, C = 175 μF, and R = 42 Ω. (a) What is the impedance of the circuit?
*March 11, 2013 by Anonymous*

**physics**

Two sinusoidal waves of the same frequency travel in the same direction along a string. If ym1 = 4.2 cm, ym2 = 5.9 cm, ö1 = 0, and ö2 = /5 rad, what is the amplitude (in cm) of the resultant wave?
*December 18, 2010 by mounir*

**physics**

Two sinusoidal waves of the same frequency travel in the same direction along a string. If ym1 = 4.2 cm, ym2 = 5.9 cm, ö1 = 0, and ö2 = /5 rad, what is the amplitude (in cm) of the resultant wave?
*December 20, 2010 by mounir*

**cobet, maths**

there are 50 pupils in a class. 43 of them like mathematics, 38 like english and 33 like both mathematics and english. How many pupils like both mathematics and english??
*October 5, 2014 by pjl*

**Elementary Math**

Decide which of the variables described is likely to have a normal or near-normal distribution. a. The number of courses remaining until graduation for the students in a small liberal arts college b. The SAT mathematics scores for students in an advanced placement mathematics ...
*August 9, 2009 by George*

**statistics**

There are 44 mathematics major and 163 computer science majors at the college. How many ways are there to pick 2 representatives, so that one is a mathematics major and the other is a computer science major?
*October 19, 2011 by tj*

**Economics**

(a) Explain what is meant by the term “natural monopoly”. (b) Construct a diagram showing the average and marginal cost curves, and the demand and marginal revenue curves for a natural monopoly. Use your diagram to explain why profit maximising behaviour by the monopolist is ...
*May 21, 2011 by Giska*

**Ske**

If Shella has a pulse rate of 73 beats per minute and a blood pressure of 121 over 85 and this can be modeled by a sinusoidal function, find this equation. Could you explain to me how to do this step please by showing me the steps? Thanks
*May 7, 2009 by trig*

**Discrete Math**

There are 150 students taking Discrete Mathematics II, Calculus II, and Physics I courses. Of these 51 are taking Discrete Mathematics II, 111 are taking Calculus II, and 63 are taking Physics I. There are 41 taking Discrete Mathematics II and Calculus II, 32 students taking ...
*April 6, 2014 by Anonymous*

**math**

65 men 75 women are enfolled in calculus. There are 30 business majors, 40 biology majors, 50 computer science majors, and 20 mathematics majors. No person has a double. If a single calculus student is chosen, find the probability that that the student is not a mathematics major
*September 28, 2012 by greg*

**calculus**

Sketch the region bounded by the curves y = x^2, y = x^4. 1) Find the area of the region enclosed by the two curves; 2) Find the volume of the solid obtained by rotating the above region about the x-axis; 3) Find the volume of the solid obtained by rotating the above region ...
*June 9, 2011 by Megan*

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