Search: calculus: related rates

Number of results: 30,703

Related rates-calculus
3.1831
Sunday, November 13, 2011 at 7:37pm by dfsgsdf

Related Rates Problem
A runner sprints around a circular track of radius 150 m at a constant speed of 7 m/s. The runner's friend is standing at a distance 300 m from the center of the track. How fast is the distance between the friends changing when the distance between them is 300 m? (Round to...
Friday, October 1, 2010 at 1:45pm by Calculus

Math Calculus
Related rates are quite difficult. I'm still mastering them. I would recommend googling "related rates" without the quotes. There is a great website called "Pauls Online Notes: Calculus I - Related Rates" that gives detailed analyses for many different ...
Wednesday, November 21, 2007 at 9:01pm by Michael

Calculus - Related Rates
I must have dropped a PI.
Sunday, November 29, 2009 at 5:42pm by bobpursley

Calculus - Related Rates
now all u got to do is plug in the 3 for r and u will get the answer
Sunday, November 29, 2009 at 5:42pm by Anonymous

calculus: related rates
:O Thank you so much, for some reason i totally forgot about the product rule! hahah... :)
Sunday, March 11, 2012 at 4:47pm by mary

Math - Calculus
Im trying to understand related rates here and im getting stuck at this word problem. It says if V is the volume of a sphere with radius r, and the volume of the sphere decreases as the time passes. express dV/dt in terms of dr/dt. Describe the relationship in words. I dont ...
Thursday, December 7, 2006 at 1:57am by Cosmo

Calculus 1 Related Rates
Thank you so much Reiny you rock! I was putting that .406 in for V but i did have 620 with the 33.0^-1/2. Thanks you Rock!!!!!
Sunday, November 21, 2010 at 6:50pm by jahil

Calculus
your a) and b) are correct c) write your opening equation as x = 24cosØ differentiate with respect to t, (t in seconds) dx/dt = -24sinØ dØ/dt (#1) we are given dx/dt = 2 when x = 6 when x=6 we can get the height h of the triangle by Pythagoras h^2 + 6 ^2...
Wednesday, March 23, 2011 at 12:39am by Reiny

Calculus
All of my work was correct. It can be solved using the same method as a related rates problem. Your equation is the same as the one I came up with.
Saturday, November 24, 2007 at 10:52am by Michael

Calculus - Related Rates
Bacteria are growing in a circular colony one bacterium thick. The bacteria are growing at a constant rate, thus making the area of the colony increase at a constant rate of 12 mm sq. per hour. Find an equation expressing the rate of change of the radius as a function of the ...
Sunday, November 29, 2009 at 5:42pm by Joel

Related rates-calculus
You are eating soup from a hemispherical bowl of radius 6cm at a constant rate of 40ml/min. Find the rate at which the soup level is going down in depth of the soup is 2cm.
Sunday, November 13, 2011 at 7:37pm by A

Calculus - Related Rates
I'm sorry, I'm not following what you did. I get that we know dx/dt = 12mm^2/hr and we want to find dr/dt but I don't know how you linked them together as a function of r. Maybe show me more steps and how you got the derivative dr/dt. Thanks
Sunday, November 29, 2009 at 5:42pm by Joel

related rates calculus problem
A balloon is being filled with air at a rate of 3 cubic meters per minute. Find the rate at which the radius is changing when the volume is 113.0973355 cubic meters.
Thursday, December 30, 2010 at 4:58pm by elizabeth

Calculus
At what point are you in the study of related rates? Are you not differentiating with respect to "time" ? If not, then you would simply have x^2 + y^2 = 1296 2x + 2y dy/dx = 0 y dy/dx = -x dy/dx = -x/y or -x/g(x), so that agrees with your answer.
Friday, June 22, 2012 at 8:12am by Reiny

math
This is actually maths homework but the question sounds like geography: 1)Why do you think the UK is so high up in the list for mortality rates due to drug-related diseases. What do you think we can do to lower drug-related deaths in the UK? 2)Why do you think the UK is so ...
Sunday, November 13, 2011 at 11:49am by Nabiha

Calculus
Related Rates Problem An isosceles triangle with a base of 20root3 cm long. If the length of the leg decreases at rate 3 cm/h, find the rate of decreasing of the area of the triangle in the instant at which the triange becomes equilateral.
Saturday, May 4, 2013 at 6:58pm by Mostafa

Related rates
Incorrect
Thursday, November 11, 2010 at 9:21pm by Michael

math/rates and unit rates
I can't figure out my homework because I don't know what rates & unit rates are.
Thursday, May 8, 2008 at 6:35pm by wyatt christopherson

related rates problem-calculus
A spherical balloon is being filled with air in such a way that its radius is increasing at a rate of 2 centimeters per second. At what rate is the volume of the balloon changing at the instant when its surface has an area of 4 pi square centimeters?
Thursday, December 30, 2010 at 3:25pm by james

calculus (related rates)
A particle moves in the plane along the curve y=xln(x). At what rate is the distance from the origin increasing at the moment its x-coordinate is 2 cm and its x-coordinate is increasing at a rate of 17 cm/sec?
Tuesday, October 27, 2009 at 9:05pm by drew

maths
This is actually maths homework but the question sounds like geography: 1)Why do you think the UK is so high up in the list for mortality rates due to drug-related diseases. What do you think we can do to lower drug-related deaths in the UK? 2)Why do you think the UK is so ...
Sunday, November 13, 2011 at 10:42am by Nabiha

Maths
This is actually maths homework but the question sounds like geography: 1)Why do you think the UK is so high up in the list for mortality rates due to drug-related diseases. What do you think we can do to lower drug-related deaths in the UK? 2)Why do you think the UK is so ...
Saturday, November 12, 2011 at 9:41am by Nabiha

Related rates
i'm sorry, this is about optimization problems.
Sunday, May 20, 2012 at 9:02pm by :)

Related rates
thank you so much. :) you really help me a lot. Godbless!
Monday, May 14, 2012 at 11:49pm by :)

Related rates-calculus
The surface area of the soup times its speed down = 40 ml/min By the way on ml is 1 cubic centimeter so no conversion is required Just find surface area from pi r^2 where r is the radius of the surface when 2 cm depth is reached.
Sunday, November 13, 2011 at 7:37pm by Damon

Calculus 1 Related Rates
You know that acceleration is the derivative of velocity. v = 1240 p^(1/2) dv/dt = 620 p^(-1/2) dp/dt = 620(33^(-1/2))(.406 = 620/√33)(.406) = 43.82
Sunday, November 21, 2010 at 6:50pm by Reiny

Related Rates
Thank you very much. I understand it now. :-)
Monday, May 6, 2013 at 8:08pm by Shania

Related Rates Problem
your kind of really bad at this
Friday, October 1, 2010 at 1:45pm by Josh

Math
Divorce rates, high school graduation rates, welfare rates are just a few you could consider.
Thursday, March 3, 2011 at 7:45pm by PsyDAG

calc- please help im so confused
differentiation & related rates
Sunday, January 1, 2012 at 4:51pm by lilly

Math(Please help. Thank you)
Is number 3 considered a related rates problem?
Sunday, May 1, 2011 at 9:41am by Hannah

SCI 275
Birth rates, death rates, migration rates. These are partially caused by poverty, malnutrition, and disease.
Thursday, January 10, 2008 at 6:15pm by Ms. Sue

Calculus - Related Rates
area=PI8r^2 darea/dt=PI*2 r dr/dt you are given darea/dt=12mm^2/hr so dr/dt= 12/(2r) mm/hr
Sunday, November 29, 2009 at 5:42pm by bobpursley

calculus
No. You are given db/dt Using the pyth theorm c^2= b^2 + h^2 dc/dt=0= 2b db/dt + 2h dh/dt solve for dh/dt in terms of b,h, db/dt this is what related rates means.
Monday, November 5, 2007 at 8:58pm by bobpursley

Related rates
hii... am in the solution with the V = (1/3)π (h^2/4)(h) still have h in 2/4?? isn't the derivative of r = h/2 is just 2/4??
Monday, May 14, 2012 at 11:49pm by z

Calculus - Related Rates
wow, you are lost. Start with the relationship A=PI*r^2 take the derivative with respect to time: dA/dt=PI*2*r*dr/dt you are given dA/dt. Solve for dr/dt Why are you stuck with using x as a variable? The world is more generous than that.
Sunday, November 29, 2009 at 5:42pm by bobpursley

calculus - related rates?
"bepper" is not a subject I am familiar with. Let x be the distance of the bottom from the wall. x = (26 ft)*sin(theta) dx/dt = 26 cos(theta)* d(theta)/dt = 4 ft/s Solve for d(theta)/dt. It will be in radians per second.
Tuesday, November 1, 2011 at 10:27pm by drwls

Calculus (Related Rates)
you are correct, as far as you go. When it changes from pos to neg, it will be zero. Note that the particle changes direction, not position. So, its velocity changes sign. The velocity is given by the derivative. s = e^-t cos5t s' = e^-t (-cos5t - 5sin5t) so, since e^-t is...
Thursday, March 29, 2012 at 6:20pm by Steve

Calculus
related rates: a ladder, 12 feet long, is leaning against a wall. if the foot of the ladder slides away from the wall along level ground,what is the rate of change of the top of the ladder with respect to the distance of the foot of the ladder from the wall when the foot is 6 ...
Wednesday, January 9, 2008 at 5:48pm by JJ

Calculus-Related Rates
draw this on grid paper. make theta the angle you are interested in. You know three sides, and the derivative of a couple of those (dx/dt) and dy/dt)..check the diagram. Now, use the law of cosines: c^2=a^2+b^2-2ab cosTheta take the derivative with respect to time. 2c dc/dt= ...
Wednesday, January 25, 2012 at 8:25pm by bobpursley

Business/Economics
What is strengths and weaknesses regarding monetary polcies, and how is related to treasury bill and note rates?
Wednesday, March 2, 2011 at 4:05pm by Tanya

Calculus ~ Related Rates
A man 2 meters tall walks at the rate of 2 meters per second toward a streetlight that's 5 meters above the ground. At what rate is the tip of his shadow moving?We've already set this up part of the way. We know that dx/dt = - 2 meters per second, and we're looking...
Thursday, January 5, 2012 at 6:00pm by Mishaka

Calculus 1 Related Rates
Water is discharged from a pipeline at a velocity v(in ft/sec) given by v=1240p^(1/2), where p is the pressure (in psi). I f the water pressure is changing at a rate of 0.406 psi/sec, find the acceleration(dv/dt) of the water when p=33.0 psi. I know the answer is suppose to be...
Sunday, November 21, 2010 at 6:50pm by jahil

Calculus
This is a related rates problem, and all problems of this type have three distinct steps: (1) Write the general equation for the problem. In this case, we want the equation for revenue. (2) Implicitly differentiate the equation with respect to time. It's important to note ...
Saturday, November 24, 2007 at 10:52am by Michael

finance
Inflation is expected to be high in the distant future if long term (10 to 30 year) loan rates are much higher than short term rates (6 months to two years). Long term rates are usually only a few percent higher. Sometimes long term rates are lower, if the Federal Reserve is ...
Monday, March 10, 2008 at 8:49pm by drwls

calculus (related rates)
distance=sqrt(y^2 + x^2) ddistance/dt= 1/2distance *( 2ydy/dt+2xdx/dt) now examine y dy/dt= x ln(x) (ln(x)+1) dx/dt ddistance/dt=rateyou want=1/2distance*(2xlnx+1)17cm/sec + x dx/dt) check that, I typed it in a hurry.
Tuesday, October 27, 2009 at 9:05pm by bobpursley

Derivative-Word Problem
I read more about related rates, and have now understood these types of problems. Thank you!
Thursday, March 14, 2013 at 2:14pm by Mark

Applied Calculus
just like all the other related-rates problems. v = pi r^2 h = 29 h = 29/(pi r^2) the metal used is just the surface area a = 2*pi r^2 + 2 pi r h = 2pi r^2 + 2pi r * 29/(pi r^2)) = 2pi r^2 + 58/r da/dr = 4pi r - 58/r^2 ...
Tuesday, April 2, 2013 at 2:38pm by Steve

related rates calculus problem
V = (4/3)πr^3 dV/dt = 4πr^2 dr/dt we know dV/dt, but we have to find r 113.0973355 = (4/3)πr^3 , ( I am sure they gave you that number as 36π) r^3 = 27 r = 3 subbing in 3 = 4π9) dr/dt dr/dt = 1/(3π) m/min
Thursday, December 30, 2010 at 4:58pm by Reiny

calculus: related rates
hello, please help me. A cylindrical can is being heated with its height increasing at the rate of 0.01cm/min and its diameter at the rate of 0.005cm/min. At what rate is the volume increasing when the can has a diameter of 15cm and a height of 20cm. this is how i'm going ...
Sunday, March 11, 2012 at 4:47pm by mary

Chemistry
Just a few questions about rates of reaction. A) Why are the units for average and instantaneous rates the same? -because they are both measures of how quickly a reaction is occuring per unit time B) For a given set of data, two students determined different average reaction ...
Sunday, May 16, 2010 at 2:59pm by Jamie

calculus ( related rates )
a paper cup in the shape of a cone has a diameter of 10cm across the top, and is 8cm deep. if the cup is leaking out the bottom at 2pi cm^3/min, at what rate is thet area of the water surface ( only the top surface of the water) changing, when the cup has a the water depth of...
Wednesday, June 22, 2011 at 11:00am by john

calculus
since the pool is a rectangular solid, it has a cross-section of constant size. the pool is 15x40 = 600 ft^2 Thus, each ft of depth adds 600ft^3 of volume. So, at 25ft^3/min, the height rises 25/600 = .0417 ft/min Now, since this is for calculus class, they must want a ...
Thursday, April 19, 2012 at 12:00am by Steve

related rates
Rats. dr/dt = -.2, not -.4 (diameter d/dt) So, take half of that answer.
Monday, October 24, 2011 at 10:06am by Steve

Related rates
Thank you for answering my question. I just can't understand how it come up to the equation 10=2Π(64)dr/dt. I will be very thankful if you elaborate. :)
Monday, May 14, 2012 at 11:49pm by :)

Economics
I think I understand your question. The answer is yes. Price and consumption are inversely related as too are interest rates and consumption.
Tuesday, March 11, 2008 at 6:57pm by economyst

comp
can you help me Underline the topic sentence for this paragraph??? Interest rates have a decidedly large impact on purchasing decisions. Interest rates affect our purchases in a couple different ways. Interest rates are what you pay for the use of someone else's money. ...
Monday, May 16, 2011 at 2:30pm by needhelp

related rates problem-calculus
Edit: actually we're given dr/dt and SA. Since dV/dt = 4(pi)r^2(dr/dt) and SA = 4(pi)r^2, dV/dt = SA(dr/dt).
Thursday, December 30, 2010 at 3:25pm by Marth

criminology
First of all, you'd need to state your facts. What crimes? Who calculated the "rates" and how? Compared to what crimes and rates in the past decade or two? Who calculated those rates and how? Please ask a more specific question and you'll probably be able to ...
Tuesday, October 9, 2007 at 3:06pm by Writeacher

Calculus - Related Rates
12mm^2/hr = r2PI dr/dt So 12/2PIr mm^2/hr = dr/dt which is the same as dr/dt = 6/PIr mm^2/hr Why'd you originally say dr/dt= 12/(2r) mm/hr
Sunday, November 29, 2009 at 5:42pm by Joel

AP CALCULUS!!! HELPP
related rates: the base of a pyramid-shaped tank is a square with sides of length 12 meters, and the vertex pyramid is 13 meters above the base. the tank is filled to a depth of 5 meters, and water is flowing into the tank at the rate of 2 cubic meters er second. find the rate...
Thursday, April 14, 2011 at 10:35pm by Raven

Related rates
I'm very thankful for being kind to me. Last one thing, 8 meters is the height of the conical pile. Does it also mean that it is the same as the height of the sand?
Monday, May 14, 2012 at 11:49pm by :)

AP CALCULUS!! HELPPP URGENT
related rates: the base of a pyramid-shaped tank is a square with sides of length 12 meters, and the vertex pyramid is 13 meters above the base. the tank is filled to a depth of 5 meters, and water is flowing into the tank at the rate of 2 cubic meters er second. find the rate...
Friday, April 15, 2011 at 5:39am by Raven

calculus : related rates
a balloon rises at a rate of 3 meters per second from a point on the ground 30 meters from an observer. find the rate of change of the angle of elevation of the balloon from the observer when the balloon is 30 meters above the ground... so i drew a small picture depicting it ...
Monday, November 5, 2007 at 10:52pm by dave

Calculus ~ Related Rates
From what you said, I will assume you defined variables as such.... x is the distance between the man and the streetligh y is the length of his shadow. then dx/dt = -2 , find dy/dt by similar triangles: 2/y = 5/(x+y) 5y = 2x + 2y 3y = 2x 3dy/dt = 2dxdt dy/dt = 2(-2)/3 = -4/3 ...
Thursday, January 5, 2012 at 6:00pm by Reiny

calculus: related rates
V= PI r^2 * h dv/dt= PI (2rh dr/dt+ r^2 dh/dt) you are given dh/dt, dr/dt. Find dv/dt when those are given, and given r and h.
Sunday, March 11, 2012 at 4:47pm by bobpursley

Chemistry
A) Why are the units for average and instantaneous rates the same? -because they are both measures of how quickly a reaction is occuring per unit time That sounds ok to me. B) For a given set of data, two students determined different average reaction rates. If neither student...
Sunday, May 16, 2010 at 2:59pm by DrBob222

math/rates and unit rates
Can you help me with my math homework on rates
Thursday, May 8, 2008 at 6:35pm by jessica

Introduction to Finance: Harvesting the Money Tree
7) The problem in stretching out the maturity of marketable securities is that A. long-term rates higher than short-term rates. B. interest rates are generally lower. C. you are legally locked in until the maturity date. D. there is greater possibility of loss. I think B
Saturday, August 8, 2009 at 1:35am by scooby9132002

math/unit rate
please help me find the definition for unit rate. It depends upon what kind of unit. Go to www.google.com and type in unit rate. There is one source there for hotel unit rates, another for unit rates for the medical field, etc. You may also go to www.dictionary.com and type in...
Tuesday, September 26, 2006 at 5:58pm by hannah

calculus
I assumed that from the level of the question you posted, that you would be familiar with how integration is related to finding the area of curved regions. Are you in a classroom setting of learning Calculus, or are you on your own?
Sunday, January 4, 2009 at 4:08pm by Reiny

related rates with work shown
this is a relate rates problem in calculus in a right triangle, the hypotenuse is 5 and the vertical side is x and the angle is theta. so if theta increases at a constant rate of 3 radians per minute, at what rate is x increasing in units per minute when x equals 3 units? d(...
Sunday, April 15, 2007 at 2:36pm by Anonymous

Chemistry
On the first, the law of diffusion is used: Effusion is inversely related to mole mass.. rateHe/rateH2= sqrt ( molmassH2)/sqrt(molemassH2) in your case, rates is volume/time
Sunday, October 5, 2008 at 12:53am by bobpursley

Macroeconomics - inflation vs unemployment!!!!
I had to graph both the U.S. inflation and unemployment rates on the same graph between the years 1990-2004. I need to analyze the data. How are the two rates related? How does one affect the other, if so? One way to analyze the data is to put the inflation data on one axis, ...
Saturday, September 9, 2006 at 10:44pm by Samantha

Calculus (Related Rates)
The position of a particle moving in a straight line is given by s(t) = (e^(-t))(cos(5t)) for t>0, where t is in seconds. If the particle changes direction at time T seconds, then T must satisfy the equation: cos(5T) = 0 5T = arctan(-1/5) 5e^(-t) sin(5t) = 0 tan(5T) = -...
Thursday, March 29, 2012 at 6:20pm by Anonymous

Calculus, Related Rates
A particle at point A is 50 mm away from a second particle at point B. The first particle is moving toward point B at a constant rate and the second particle is moving at a right angle to the line AB at a rate that is 1/3 of the rate of the first particle. The particles get ...
Tuesday, April 17, 2012 at 6:25pm by Jason

math-rates
.....rates....6th garde.....lesson6-2 5pounds for $2.49
Thursday, December 2, 2010 at 2:32pm by alex

Environemtal science
I believe they are birth rates, death rates, immigration and emigration
Tuesday, December 2, 2008 at 1:39pm by kia

math/rates and unit rates
uhm what do you need?
Thursday, May 8, 2008 at 6:35pm by jessica

math-rates
1,680 kilobytes in 4 minutes ..........how do u get it....... lesson 6-2 ......rates....6th grade pg. 289 ......#2
Thursday, December 2, 2010 at 2:36pm by alex

Sociology
What does the author think best explains the number of lower-class offenders in the criminal justice system? a) They have higher offending rates. b) They have higher rates of recidivism. c) There are both disparities in crime rates and discrimination in the system. d) ...
Sunday, November 11, 2012 at 5:33pm by Tammy

Maths
It would help if you gave us specific questions about rates or define more specifically what type of rates concern you.
Friday, November 11, 2011 at 6:45am by PsyDAG

6th grade
Hello, I need help in trying to figure out rates (as in ratios and rates). What is a formula that I would use? Thanks in advance.
Tuesday, January 6, 2009 at 6:50pm by Bobby

Government
1. Both corporate and individual income tax rates are set at ______ rates. a. high b. low c. progressive d. regressive I think it's C?
Tuesday, July 19, 2011 at 7:56pm by Anthony

FIN301 Business Finance
http://www.economicshelp.org/blog/89/interest-rates/why-are-there-so-many-different-interest-rates/
Monday, January 28, 2013 at 2:12pm by Ms. Sue

Math
this is not the question i was looking for!!! >.< i wanted a related rates question!!!!!! i have a test on it!!!!! omg ><
Wednesday, February 14, 2007 at 8:42pm by michael

social studies
how is grant and mainland related how is colony , colinist , and plantation related how is northwest passage trade network and agent related how is pilgrim mayflower compact rewlated
Wednesday, March 26, 2008 at 8:56pm by Jillian

calculus : related rates
call the angle of elevation α (alpha) so what you want to find is dα/dt from your triangle tan α = x/30, where x is the height of the balloon then x = 30 tan α and dx/dt = 30 (sec^2 α)dα/dt when x = 30 , α = 45&...
Monday, November 5, 2007 at 10:52pm by Reiny

ECO/372
what happens to the monry interrest rates and the economy if the federal reserves is not the seller of government bonds? I know the interest rates go down but not sure what else?
Friday, April 27, 2012 at 2:15pm by at

calculus ( related rates )
Let the radius of the water level be r cm let the height of the water be h cm by ratios of similar triangles (using a cross-section) r/h = 5/8 ----> h = 8r/5 V= (1/3)πr^2h = (1/3)πr^2(8r/5) = (8π/15)r^3 dV/dt = (8π/5)r^2 dr/dt -2&...
Wednesday, June 22, 2011 at 11:00am by Reiny

Stats
Question 3 Investment analysts generally believe the interest rate on bonds is inversely related to the prime interest rate for loans; that is, bonds perform well when lending rates are down and perform poorly when interest rates are up. Can the bond rate be predicted by the ...
Monday, August 20, 2012 at 11:53am by David

Math
Rates And unit rates 120mi. to 10 gal of gas I'm not sure what you are asking, but this reduces to 12 miles per gallon. Does that help? If not, repost your question in different terms. Thanks for asking.
Thursday, February 8, 2007 at 5:33pm by Ruthie

COM155
Write two paragraphs about how interest rates affect our purchasing decisions. High interest rates make us stop and think, do we need this item? Is it a necessity? When interest rates are high people tend to finance things less. Why pay a lot in interest when you can just ...
Tuesday, August 9, 2011 at 9:37pm by Jessica

Related rates
Two people start from the same point. One walks east at 1 mi/h and the other walks northeast at 2 mi/h. How fast is the distance between the people changing after 15 minutes?
Thursday, November 11, 2010 at 9:21pm by Michael

math
Resolved QuestionShow me another » AP Calculus related rates problem? The volume V or a cone (V = 1/3 ð r² h) is increasing at a rate of 28ð cubic units per second. At the instant when the radius r of the cone is 3 units, its volume is 12ð cubic units ...
Saturday, December 19, 2009 at 11:19am by kelli

calculus(related rates)
You know, when you posted this earlier, with a typo, my solution should have enabled you to get the corrected answer. I assume you did that, and are now just confirming your subsequent work. . . . Right? when the water is at depth y, the radius r of the surface can be found ...
Saturday, May 5, 2012 at 3:09am by Steve

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