Questions tagged [related-rates]
In differential calculus, related rates problems involve finding a rate at which a quantity changes by relating that quantity to other quantities whose rates of change are known.
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Can I use the slope of $\sqrt{N}$ to factor semiprimes? I get an equivalence if I try. How can I use related rates?
I need to make two definitions before I get to my question, which is at the bottom.
Domain: is the X-axis (variable)
Range: is the Y-axis
$$f(Domain) = Range$$
I think semiprimes can be factored by ...
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Why do we need implicit diff for related rates problems?
Hello I am having to create a portfolio for my calc class. I am interested into the reason for implicit differentiation when trying to solve a related rates problem.
I am sort of trying to find a ...
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Help with a related rates and optimization problem
Hello this is a problem I am trying to work on that I'm stuck on. I got the general outline setup trying to use the pythagoras theorem but I'm aware that I want to find the x,y values to minimize the ...
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unsure about my mistake with this related rates problem.
I've seen solutions to this type of question on the site here, and have successfully solved some variants. But for some reason my solution to this particular problem doesn't jibe with what Mr. Sal ...
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Is this related rates solution correct, or a crazy coincidence?
One of my students arrived at a correct solution to a straightforward related rates problem, but I can't understand their method...
Problem: an airplane flies at a constant altitude of 10km and speed ...
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What formula could calculate the speed of music playback in a variable length of time?
I am trying to create a patch in Max that records sound over a portion of a given length of time, then plays back the recording to fill out the remaining portion of time with the speed of playback ...
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How do I go from an infinite amount of instantaneous rates to an average rate?
I have a function that gives me rate at a point (the derivative) and I have a value for average rate that was experimentally calculated. How would I go about creating an expression to solve for a ...
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Application of Differential Equations Logistics problem
Problem:
The rate of change of the total number of sales, $dS(t)\over dt$, of a new product is proportional to $ S(t)\over t^2$, where $t$ is in years. If the saturation of the market is $50000$ units,...
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Rate of change of ordinates and abscissae
The question that I am stuck at goes like this:
On the curve $y^3=27x$, the absolute value of rate of change of ordinate is greater than the absolute value of rate of change of abscissa in the ...
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Related Rate Problem Involving Conical tank Formula. I do not understand why this is incorrect. [closed]
A right conical tank with the point oriented down, a height of 15 feet, and a radius of 4 feet has sprung a leak. How fast is the volume of water in the tank changing when the water is 2 feet high and ...
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A relevant relentless reluctancy relating related rates?
I am reviewing some things in calculus, I have these two sample problems with their answers, that I tried to solve another way and got different results. I'd like to understand why what I made yielded ...
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Why does the derivative of Law of Cosines require radians?
The question I am solving says "2 sides of a triangle have lengths 9 ft and 18 ft. The angle between them is increasing at a rate of 2 degrees per minute. How fast is the length of the 3rd side ...
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Related Rates Problem - Water is being pumped into an inverted conical tank at an unknown constant rate.
Water is leaking out of an inverted conical tank at a rate of 0.015 m³/min. At the same time water is being pumped into the tank at a constant rate. The tank has height 13 meters and the diameter at ...
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Related rates ---not use chain rules?
Here is the question:Two people start from the same point at the same time. One walks north at 2 mi/h
and the other walks west at 4 mi/h. How fast is the distance between them changing
after 30 ...
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To find rate of change of area of triangle when rate of change and value of length of base and height are 3cm/min, 5cm/min and 8cm,10cm respectively.
I am trying understand very simple related rates problem (area of triangle on youtube):
The base of a right triangle is increasing at 3cm/min while the height of the triangle is increasing at a rate ...
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