The Rate At Which Rainwater Flows Into A Drainpipe

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. Feedback from students. Grade 11 · 2023-01-29. Crop a question and search for answer. And my upper bound is 8.

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• The rate at which rainwater flows into a drainpipe is modeled by the function r
• The rate at which rainwater flows into a drain pipe

The Rate At Which Rainwater Flows Into A Drainpipe Youtube

Alright, so we know the rate, the rate that things flow into the rainwater pipe. If the numbers of an angle measure are followed by a. That is why there are 2 different equations, I'm assuming the blockage is somewhere inside the pipe. 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. So it is, We have -0. Sorry for nitpicking but stating what is the unit is very important. How do you know when to put your calculator on radian mode? THE SPINAL COLUMN The spinal column provides structure and support to the body.

The Rate At Which Rainwater Flows Into A Drainpipe Is

That blockage just affects the rate the water comes out. Let me put the times 2nd, insert, times just to make sure it understands that. Actually, I don't know if it's going to understand. Give a reason for your answer.

The Rate At Which Rainwater Flows Into A Drainpipe Trousers

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. We solved the question! 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. So I already put my calculator in radian mode. And then you put the bounds of integration.

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

The Rate At Which Rainwater Flows Into A Drain Pipe

°, it will be degrees. 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 that means that water in pipe, let me right then, then water in pipe Increasing. Ask a live tutor for help now. Steel is an alloy of iron that has a composition less than a The maximum. 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. I would really be grateful if someone could post a solution to this question. 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. 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. 4 times 9, times 9, t squared. So this is approximately 5. Then water in pipe decreasing. At4:30, you calculated the answer in radians. R of 3 is equal to, well let me get my calculator out.

After teaching a group of nurses working at the womens health clinic about the. 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. Is the amount of water in the pipe increasing or decreasing at time t is equal to 3 hours? 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. 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. We wanna do definite integrals so I can click math right over here, move down.