# mathematics - sinusoidal curves

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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 ...

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 ...

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...

sinusoidal functions
State an equation of a sinusoidal graph with the following properties. The central axis is at y = 5 Two consecutive minimums are found at (3, −1) and (13, −1 find values for a,b,c and d

university mathematics
find the area enclosed between the following curves:- Y= lnx and y= -2x+3 and the ordinate x=3

university mathematics
Integration Applications: find the area enclosed by the following curves:- Y= lnx and y= -2x+3 and the ordinate x=3

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.

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

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 ...

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?

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

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 ...

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...

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

economics
if ad1 and as1 are the before curves and ad2 and as2 are the after curves how is this graph set up

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...

math
If the curves of f(x) and g(x) intersect x=a and x=b and if f(x)>g(x)>0 for all x on (a,b) then the volume obtained when the region bounded by the curves is rotated about the x-axis is equal to

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?

Maths
what are the meanings of Mathematics of Buying and Mathematics of Selling, using language from the Business Mathematics aspect.

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+...

Math
The curves y=sinx and y=cosx intersects twice on the interval (0,2pi). Find the area of the region bounded by the two curves between the points of intersection.

Math
The curves y=sinx and y=cosx intersects twice on the interval (0,2pi). Find the area of the region bounded by the two curves between the points of intersection.

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 ...

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 ...

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

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

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

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.

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 ...

Mathematics
Of the 82 pupils in grade 9, 73 take mathematics 56 take science, all those who take science take mathematics. Show the information on the venn diagram. How many take neither mathematics nor science?

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.

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 ...

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 ...

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

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

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

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?

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 ...

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

calculus 2
Use a graph to find approximate x-coordinates of the points of intersection of the given curves. Then find (approximately) the area of the region bounded by the curves. (Round your answer to two decimal places.) y = 8x^2− 3x, y = x^3−8x+ 2

mathematical methods for economics
in a class of 300 students,they were given mathematics test in three subjects namely,economics,statistics and mathematics,90 students failed in economics,100 failed in statistics,96 failed in mathematics,60 failed in economics and statistics,64 failed in statistics and ...

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 ...

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 ...

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.

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 ...

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) ...

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

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.

mathematics
how can you do the lcm to somethimg like 12000 without having to do all of that mathematics just to make it quicker?

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. ...

MATH
Determine an equation of a sinusoidal function that has a maximum at (5, 4) and a minimum at (2, -10).

mathematics
how do I cope with intermediate mathematics e.g log rhythms?

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 ...

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).

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...

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 ...

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...

Math
How do i find out the sin and cos equation of a sinusoidal graph?

Physics Helpppp
Q11 a(ii)A sinusoidal carrier wave has frequency 500 kHz and amplitude 6.0 V. It is to be frequency modulated by a sinusoidal wave of frequency 8 kHz and amplitude 1.5 V. The frequency deviation of the carrier wave is 20 kHz V^–1 Describe, for the carrier wave, the variation...

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.

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 ...

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. ...

mathematics
why would someone study mathematics

math
how to find the first three zeros to the right of origin in a sinusoidal function?

Pre-Calculus
f(x) is a sinusoidal curve with maximum at f(0)=10 and next minimum at f(6)=0. Find the equation?

Mathematics
A survey of 100 students produced the following statics: 32 study mathematics, 20 study physics, 45 study Biology, 15 study mathematics and biology, 7 study mathematics and physics, 10 study physics and Biology, 30 do not study any of the three subjects 1, Present the ...

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))

In an examination of certain number of candidates 18 passed mathematics, 17 passed physics, 11 passed both mathematics and physics, 1 failed both subjects. Find the number of candidates that passed. i. Mathematics only. ii. Physics only. iii. Total number of candidates that ...

Math
Out of a group of 600 students taking computer,mathematics or physics,there is no student taking both computer and mathematics.Every student takes computer or mathematics.150 take physics and mathematics and 250 take only one of the subjects.Find 1) the number of students ...

Math
Out of a group of 600 students taking computer,mathematics or physics,there is no student taking both computer and mathematics.Every student takes computer or mathematics.150 takes physics and mathematics and 250 take only one of the subjects.Find 1) the number of students ...

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 ...

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 ...

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 ...

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...

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!!!

mathematics
MATHEMATICS PLEASE HELP ME!!! In an arithmetic series the 3rd term is twice the 8th term find the first 25 terms

mathematics
what are the 20 terms that are used in mathematics

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...

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...

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...

Math: Geometry
Of 162 students honored at an academic awards banquet, 48 won awards for mathematics and 78 won awards for English. There are 14 students who won awards for both mathematics and English. A newspaper chooses a student at random for an interview. What is the probability that the...

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?

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?

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?

Math
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 ...

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) ...

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) ...

PHYSICS
Explain for each of the following, The Magnus force applies and how it causes an effect. a. A car tire rotating while a car drives. b. A tennis ball curves while moving towards the opposite side of the net. c. A tennis ball changes directions when it hits the ground. d. A ...

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 ...

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 ...

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

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 ...

Maths
In a survey of 200 students of a school, it was found that 60% study mathematics, 45% study physics, 35% study chemistry, 20% study mathematics and physics, 15% study physics and chemistry, 25% study chemistry and mathematics and 10% none of these subjects. Find the number of ...

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 ...

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

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...

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...

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?

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?

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 ...

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