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July 8, 2024, 3:01 pm

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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. This is going to be, whoops, not that calculator, Let me get this calculator out. T is measured in hours. 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. Alright, so we know the rate, the rate that things flow into the rainwater pipe. Is the amount of water in the pipe increasing or decreasing at time t is equal to 3 hours? T is measured in hours and 0 is less than or equal to t, which is less than or equal to 8, so t is gonna go between 0 and 8. We solved the question! In part A, why didn't you add the initial variable of 30 to your final answer?

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If the numbers of an angle measure are followed by a. So D of 3 is greater than R of 3, so water decreasing. 7 What is the minimum number of threads that we need to fully utilize the. And so this is going to be equal to the integral from 0 to 8 of 20sin of t squared over 35 dt. PORTERS GENERIC BUSINESS LEVEL. Good Question ( 148). 96 times t, times 3. 09 and D of 3 is going to be approximately, let me get the calculator back out. Provide step-by-step explanations. Let me put the times 2nd, insert, times just to make sure it understands that. Crop a question and search for answer. 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.

Feedback from students. And this gives us 5. 20 Gilligan C 1984 New Maps of Development New Visions of Maturity In S Chess A. So if that is the pipe right over there, things are flowing in at a rate of R of t, and things are flowing out at a rate of D of t. And they even tell us that there is 30 cubic feet of water right in the beginning. The blockage is already accounted for as it affects the rate at which it flows out. Selected Answer negative reinforcement and punishment Answers negative. Let me draw a little rainwater pipe here just so that we can visualize what's going on. 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.

That blockage just affects the rate the water comes out. We wanna do definite integrals so I can click math right over here, move down. That's the power of the definite integral. 4 times 9, times 9, t squared. And then if it's the other way around, if D of 3 is greater than R of 3, then water in pipe decreasing, then you're draining faster than you're putting into it. Ask a live tutor for help now. 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. When in doubt, assume radians.

The Rate At Which Rainwater Flows Into A Drainpipe Plumbing

But these are the rates of entry and the rates of exiting. Upload your study docs or become a. R of 3 is equal to, well let me get my calculator out.

And then you put the bounds of integration. °, it will be degrees. Gauthmath helper for Chrome. And then close the parentheses and let the calculator munch on it a little bit. TF The dynein motor domain in the nucleotide free state is an asymmetric ring. 96t cubic feet per hour.

In part one, wouldn't you need to account for the water blockage not letting water flow into the top because its already full? I'm quite confused(1 vote). So this is approximately 5. Still have questions? Almost all mathematicians use radians by default. 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? Once again, what am I doing? Actually, I don't know if it's going to understand.

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We're draining faster than we're getting water into it so water is decreasing. You can tell the difference between radians and degrees by looking for the. Course Hero member to access this document. Comma, my lower bound is 0. Sorry for nitpicking but stating what is the unit is very important. So this is equal to 5. Now let's tackle the next part. Then water in pipe decreasing. Steel is an alloy of iron that has a composition less than a The maximum. Close that parentheses. Let me be clear, so amount, if R of t greater than, actually let me write it this way, if R of 3, t equals 3 cuz t is given in hour. Ok, so that's my function and then let me throw a comma here, make it clear that I'm integrating with respect to x. I could've put a t here and integrated it with respect to t, we would get the same value. The result of question a should be 76.

Grade 11 · 2023-01-29. Allyson is part of an team work action project parallel management Allyson works. I would really be grateful if someone could post a solution to this question. 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. So let me make a little line here. So they're asking how many cubic feet of water flow into, so enter into the pipe, during the 8-hour time interval. Otherwise it will always be radians. So we just have to evaluate these functions at 3. After teaching a group of nurses working at the womens health clinic about the. Unlimited access to all gallery answers. 89 Quantum Statistics in Classical Limit The preceding analysis regarding the.

That is why there are 2 different equations, I'm assuming the blockage is somewhere inside the pipe. So let's see R. Actually I can do it right over here. And my upper bound is 8. So that is my function there. If R of 3 is greater than D of 3, then D of 3, If R of 3 is greater than D of 3 that means water's flowing in at a higher rate than leaving.

Want to join the conversation? 04 times 3 to the third power, so times 27, plus 0. THE SPINAL COLUMN The spinal column provides structure and support to the body. Usually for AP calculus classes you can assume that your calculator needs to be in radian mode unless otherwise stated or if all of the angle measurements are in degrees. Well, what would make it increasing?

It does not specifically say that the top is blocked, it just says its blocked somewhere. Then you say what variable is the variable that you're integrating with respect to. So I already put my calculator in radian mode. But if it's the other way around, if we're draining faster at t equals 3, then things are flowing into the pipe, well then the amount of water would be decreasing. So that means that water in pipe, let me right then, then water in pipe Increasing. 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. AP®︎/College Calculus AB.

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