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. 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. 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? So we just have to evaluate these functions at 3. The rate at which rainwater flows into a drainpipe cleansing. 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. Feedback from students.
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. Almost all mathematicians use radians by default. 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. The rate at which rainwater flows into a drainpipe jeans. Provide step-by-step explanations. Well, what would make it increasing? 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. Gauth Tutor Solution. Good Question ( 148). Ask a live tutor for help now.
570 so this is approximately Seventy-six point five, seven, zero. 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. 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. The rate at which rainwater flows into a drainpipe trousers. And so this is going to be equal to the integral from 0 to 8 of 20sin of t squared over 35 dt. After teaching a group of nurses working at the womens health clinic about the. How do you know when to put your calculator on radian mode?
I would really be grateful if someone could post a solution to this question. 96t cubic feet per hour. Enjoy live Q&A or pic answer. 6. layer is significantly affected by these changes Other repositories that store.
And this gives us 5. It does not specifically say that the top is blocked, it just says its blocked somewhere. 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.