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For the same interval right over here, there are 30 cubic feet of water in the pipe at time t equals 0. Voiceover] The rate at which rainwater flows into a drainpipe is modeled by the function R, where R of t is equal to 20sin of t squared over 35 cubic feet per hour. 96 times t, times 3. PORTERS GENERIC BUSINESS LEVEL. The rate at which rainwater flows into a drainpipe edinburgh news. We wanna do definite integrals so I can click math right over here, move down. I don't think I can recall a time when I was asked to use degree mode in calc class, except for maybe with some problems involving finding lengths of sides using tangent, cosines and sine. It does not specifically say that the top is blocked, it just says its blocked somewhere. And my upper bound is 8. Provide step-by-step explanations. Ask a live tutor for help now.

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In part one, wouldn't you need to account for the water blockage not letting water flow into the top because its already full? And lucky for us we can use calculators in this section of the AP exam, so let's bring out a graphing calculator where we can evaluate definite integrals. 89 Quantum Statistics in Classical Limit The preceding analysis regarding the. At4:30, you calculated the answer in radians. So it is, We have -0. So that means that water in pipe, let me right then, then water in pipe Increasing. The rate at which rainwater flows into a drainpipe is modeled by the function r. THE SPINAL COLUMN The spinal column provides structure and support to the body. But these are the rates of entry and the rates of exiting. And then close the parentheses and let the calculator munch on it a little bit. Now let's tackle the next part. In part A, why didn't you add the initial variable of 30 to your final answer? Then you say what variable is the variable that you're integrating with respect to.

Upload your study docs or become a. Good Question ( 148). So I'm gonna write 20sin of and just cuz it's easier for me to input x than t, I'm gonna use x, but if you just do this as sin of x squared over 35 dx you're gonna get the same value so you're going to get x squared divided by 35. The rate at which rainwater flows into a drainpipe youtube. Well if the rate at which things are going in is larger than the rate of things going out, then the amount of water would be increasing. If you multiply times some change in time, even an infinitesimally small change in time, so Dt, this is the amount that flows in over that very small change in time.

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Is there a way to merge these two different functions into one single function? Still have questions? Crop a question and search for answer. And then you put the bounds of integration. So if you have your rate, this is the rate at which things are flowing into it, they give it in cubic feet per hour.

The pipe is partially blocked, allowing water to drain out the other end of the pipe at rate modeled by D of t. It's equal to -0. 4 times 9, times 9, t squared. °, it will be degrees.

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T is measured in hours. How many cubic feet of rainwater flow into the pipe during the 8 hour time interval 0 is less than or equal to t is less than or equal to 8? Grade 11 · 2023-01-29. So that is my function there.

After teaching a group of nurses working at the womens health clinic about the. The result of question a should be 76. This preview shows page 1 - 7 out of 18 pages. So they're asking how many cubic feet of water flow into, so enter into the pipe, during the 8-hour time interval. Course Hero uses AI to attempt to automatically extract content from documents to surface to you and others so you can study better, e. g., in search results, to enrich docs, and more. I would really be grateful if someone could post a solution to this question. We're draining faster than we're getting water into it so water is decreasing. Let me put the times 2nd, insert, times just to make sure it understands that. So let's see R. Actually I can do it right over here. R of t times D of t, this is how much flows, what volume flows in over a very small interval, dt, and then we're gonna sum it up from t equals 0 to t equals 8. If the numbers of an angle measure are followed by a. So let me make a little line here.

The Rate At Which Rainwater Flows Into A Drainpipe Is Modeled By The Function R

Can someone help me out with this question: Suppose that a function f(x) satisfies the relation (x^2+1)f(x) + f(x)^3 = 3 for every real number x. Allyson is part of an team work action project parallel management Allyson works. Want to join the conversation? So this is equal to 5. That's the power of the definite integral.

And so what we wanna do is we wanna sum up these amounts over very small changes in time to go from time is equal to 0, all the way to time is equal to 8. Selected Answer negative reinforcement and punishment Answers negative. I'm quite confused(1 vote). 6. layer is significantly affected by these changes Other repositories that store. R of 3 is equal to, well let me get my calculator out. We solved the question! Almost all mathematicians use radians by default. So this is approximately 5. Is the amount of water in the pipe increasing or decreasing at time t is equal to 3 hours?

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