The Rate At Which Rainwater Flows Into A Drainpipe Five | How To Unlock Samsung A02 Phone Forgot Password Without Losing Data

Tuesday, 30 July 2024

Once again, what am I doing? See also Sedgewick 1998 program 124 34 Sequential Search of Ordered Array with. It does not specifically say that the top is blocked, it just says its blocked somewhere. Comma, my lower bound is 0. 96 times t, times 3. 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. Well, what would make it increasing? 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? The result of question a should be 76. I would really be grateful if someone could post a solution to this question.

The Rate At Which Rainwater Flows Into A Drainpipe Type

PORTERS GENERIC BUSINESS LEVEL. Why did you use radians and how do you know when to use radians or degrees? I'm quite confused(1 vote). Sorry for nitpicking but stating what is the unit is very important. 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. Does the answer help you?

And I'm assuming that things are in radians here. So this expression right over here, this is going to give us how many cubic feet of water flow into the pipe. We solved the question! 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. 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. So they're asking how many cubic feet of water flow into, so enter into the pipe, during the 8-hour time interval. 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. And then you put the bounds of integration. 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. 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 we just have to evaluate these functions at 3. So I already put my calculator in radian mode. 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.

The Rate At Which Rainwater Flows Into A Drainpipe Five

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. 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. R of 3 is equal to, well let me get my calculator out. Actually, I don't know if it's going to understand. 04 times 3 to the third power, so times 27, plus 0. And the way that you do it is you first define the function, then you put a comma. For part b, since the d(t) and r(t) indicates the rate of flow, why can't we just calc r(3) - d(3) to see the whether the answer is positive or negative? After teaching a group of nurses working at the womens health clinic about the. So that is my function there.

Close that parentheses. For the same interval right over here, there are 30 cubic feet of water in the pipe at time t equals 0. °, it will be degrees. You can tell the difference between radians and degrees by looking for the. So this is equal to 5. That blockage just affects the rate the water comes out. Upload your study docs or become a.

The Rate At Which Rainwater Flows Into A Drainpipe Trousers

And my upper bound is 8. Selected Answer negative reinforcement and punishment Answers negative. Check the full answer on App Gauthmath. But these are the rates of entry and the rates of exiting.

Now let's tackle the next part. Is there a way to merge these two different functions into one single function? Steel is an alloy of iron that has a composition less than a The maximum. 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 Rate At Which Rainwater Flows Into A Drain Pipe

Crop a question and search for answer. 7 What is the minimum number of threads that we need to fully utilize the. Enjoy live Q&A or pic answer. So let me make a little line here. Gauth Tutor Solution. 6. layer is significantly affected by these changes Other repositories that store. Ask a live tutor for help now. That's the power of the definite integral. That is why there are 2 different equations, I'm assuming the blockage is somewhere inside the pipe. Let me draw a little rainwater pipe here just so that we can visualize what's going on.

So this function, fn integral, this is a integral of a function, or a function integral right over here, so we press Enter. 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. Provide step-by-step explanations. If the numbers of an angle measure are followed by a. And then close the parentheses and let the calculator munch on it a little bit. Gauthmath helper for Chrome. We wanna do definite integrals so I can click math right over here, move down. 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. 96t cubic feet per hour.

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

Otherwise it will always be radians. Let me put the times 2nd, insert, times just to make sure it understands that. And this gives us 5. 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. 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. Then you say what variable is the variable that you're integrating with respect to. 1 Which of the following are examples of out of band device management Choose. This preview shows page 1 - 7 out of 18 pages. Almost all mathematicians use radians by default.

And so this is going to be equal to the integral from 0 to 8 of 20sin of t squared over 35 dt. When in doubt, assume radians. So it is, We have -0. 4 times 9, times 9, t squared. 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.

So this is approximately 5. Still have questions? 89 Quantum Statistics in Classical Limit The preceding analysis regarding the. Want to join the conversation?

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