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. Close that parentheses. But these are the rates of entry and the rates of exiting. Gauthmath helper for Chrome. 570 so this is approximately Seventy-six point five, seven, zero.
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. Why did you use radians and how do you know when to use radians or degrees? So this is equal to 5. It does not specifically say that the top is blocked, it just says its blocked somewhere. The rate at which rainwater flows into a drainpipe jeans. 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. Otherwise it will always be radians. For the same interval right over here, there are 30 cubic feet of water in the pipe at time t equals 0. Provide step-by-step explanations. Is the amount of water in the pipe increasing or decreasing at time t is equal to 3 hours? So let me make a little line here. 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.
96t cubic feet per hour. PORTERS GENERIC BUSINESS LEVEL. 20 Gilligan C 1984 New Maps of Development New Visions of Maturity In S Chess A. Once again, what am I doing? And so this is going to be equal to the integral from 0 to 8 of 20sin of t squared over 35 dt. And then close the parentheses and let the calculator munch on it a little bit. So that is my function there.
Comma, my lower bound is 0. 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. Let me draw a little rainwater pipe here just so that we can visualize what's going on.
We wanna do definite integrals so I can click math right over here, move down. And then you put the bounds of integration. Upload your study docs or become a. 1 Which of the following are examples of out of band device management Choose. TF The dynein motor domain in the nucleotide free state is an asymmetric ring. Course Hero member to access this document. The rate at which rainwater flows into a drainpipe trousers. Ask a live tutor for help now. I'm quite confused(1 vote).
We solved the question! Does the answer help you? Feedback from students. Well, what would make it increasing? This preview shows page 1 - 7 out of 18 pages. 4 times 9, times 9, t squared. At4:30, you calculated the answer in radians. Gauth Tutor Solution. When in doubt, assume radians. That's the power of the definite integral. The rate at which rainwater flows into a drainpipe plumbing. Give a reason for your answer. After teaching a group of nurses working at the womens health clinic about the. Still have questions?
So they're asking how many cubic feet of water flow into, so enter into the pipe, during the 8-hour time interval. In part one, wouldn't you need to account for the water blockage not letting water flow into the top because its already full? See also Sedgewick 1998 program 124 34 Sequential Search of Ordered Array with. 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. And my upper bound is 8. 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? R of 3 is equal to, well let me get my calculator out.
In part A, why didn't you add the initial variable of 30 to your final answer?
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