Sorry for nitpicking but stating what is the unit is very important. 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? We wanna do definite integrals so I can click math right over here, move down. 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? 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. And this gives us 5. It does not specifically say that the top is blocked, it just says its blocked somewhere. The blockage is already accounted for as it affects the rate at which it flows out.
Gauth Tutor Solution. How do you know when to put your calculator on radian mode? See also Sedgewick 1998 program 124 34 Sequential Search of Ordered Array with. The result of question a should be 76. For the same interval right over here, there are 30 cubic feet of water in the pipe at time t equals 0. In part A, why didn't you add the initial variable of 30 to your final answer? 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. So this expression right over here, this is going to give us how many cubic feet of water flow into the pipe. 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. 04 times 3 to the third power, so times 27, plus 0. 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. So we just have to evaluate these functions at 3. Crop a question and search for answer.
Feedback from students. 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. This preview shows page 1 - 7 out of 18 pages. 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. Otherwise it will always be radians. After teaching a group of nurses working at the womens health clinic about the.
Allyson is part of an team work action project parallel management Allyson works. Now let's tackle the next part. So it's going to be 20 times sin of 3 squared is 9, divided by 35, and it gives us, this is equal to approximately 5. 89 Quantum Statistics in Classical Limit The preceding analysis regarding the. 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. If the numbers of an angle measure are followed by a. That blockage just affects the rate the water comes out. Unlimited access to all gallery answers. Still have questions?
But these are the rates of entry and the rates of exiting. Close that parentheses. Selected Answer negative reinforcement and punishment Answers negative. Gauthmath helper for Chrome. 09 and D of 3 is going to be approximately, let me get the calculator back out. We're draining faster than we're getting water into it so water is decreasing. Provide step-by-step explanations. When in doubt, assume radians.
Check the full answer on App Gauthmath. This is going to be, whoops, not that calculator, Let me get this calculator out. 96t cubic feet per hour. PORTERS GENERIC BUSINESS LEVEL. I would really be grateful if someone could post a solution to this question. °, it will be degrees.
Enjoy live Q&A or pic answer. Good Question ( 148). R of 3 is equal to, well let me get my calculator out. And then close the parentheses and let the calculator munch on it a little bit. 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. 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. 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. Grade 11 · 2023-01-29.
That is why there are 2 different equations, I'm assuming the blockage is somewhere inside the pipe. 20 Gilligan C 1984 New Maps of Development New Visions of Maturity In S Chess A. So that means that water in pipe, let me right then, then water in pipe Increasing. Want to join the conversation? So they're asking how many cubic feet of water flow into, so enter into the pipe, during the 8-hour time interval. Steel is an alloy of iron that has a composition less than a The maximum. Is the amount of water in the pipe increasing or decreasing at time t is equal to 3 hours? 04t to the third power plus 0. 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. Then water in pipe decreasing. Course Hero member to access this document.
570 so this is approximately Seventy-six point five, seven, zero. So I already put my calculator in radian mode. So that is my function there. 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. And I'm assuming that things are in radians here.
Ask a live tutor for help now. 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. And the way that you do it is you first define the function, then you put a comma. Give a reason for your answer. Let me draw a little rainwater pipe here just so that we can visualize what's going on. Upload your study docs or become a. T is measured in hours. Is there a way to merge these two different functions into one single function? And so this is going to be equal to the integral from 0 to 8 of 20sin of t squared over 35 dt. AP®︎/College Calculus AB. Once again, what am I doing? So let's see R. Actually I can do it right over here. So it is, We have -0.
So this is equal to 5. We solved the question! 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. 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.
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