When in doubt, assume radians. So we just have to evaluate these functions at 3. 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. 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? The rate at which rainwater flows into a drainpipe youtube. Then you say what variable is the variable that you're integrating with respect to. Let me draw a little rainwater pipe here just so that we can visualize what's going on. Still have questions? TF The dynein motor domain in the nucleotide free state is an asymmetric ring. THE SPINAL COLUMN The spinal column provides structure and support to the body. Good Question ( 148). Ask a live tutor for help now.
Want to join the conversation? 4 times 9, times 9, t squared. 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. 7 What is the minimum number of threads that we need to fully utilize the. The rate at which rainwater flows into a drainpipe plumbing. The blockage is already accounted for as it affects the rate at which it flows out. 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. For the same interval right over here, there are 30 cubic feet of water in the pipe at time t equals 0. Then water in pipe decreasing. So let me make a little line here.
But these are the rates of entry and the rates of exiting. 89 Quantum Statistics in Classical Limit The preceding analysis regarding the. Is there a way to merge these two different functions into one single function? 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. Close that parentheses. The rate at which rainwater flows into a drainpipe is. And so this is going to be equal to the integral from 0 to 8 of 20sin of t squared over 35 dt. Gauthmath helper for Chrome. Crop a question and search for answer. And my upper bound is 8.
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. After teaching a group of nurses working at the womens health clinic about the. So it is, We have -0. So that is my function there. Comma, my lower bound is 0. In part A, why didn't you add the initial variable of 30 to your final answer?
That's the power of the definite integral. 09 and D of 3 is going to be approximately, let me get the calculator back out. Now let's tackle the next part. In part one, wouldn't you need to account for the water blockage not letting water flow into the top because its already full? At4:30, you calculated the answer in radians. 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.
Well, what would make it increasing? I would really be grateful if someone could post a solution to this question. So this is approximately 5. Enjoy live Q&A or pic answer.
6. layer is significantly affected by these changes Other repositories that store. 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. So this expression right over here, this is going to give us how many cubic feet of water flow into the pipe. 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. Feedback from students. AP®︎/College Calculus AB. 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. 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.
Is the amount of water in the pipe increasing or decreasing at time t is equal to 3 hours? 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. So this function, fn integral, this is a integral of a function, or a function integral right over here, so we press Enter. That is why there are 2 different equations, I'm assuming the blockage is somewhere inside the pipe. 96t cubic feet per hour. Once again, what am I doing?
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. 04 times 3 to the third power, so times 27, plus 0. I'm quite confused(1 vote). So that means that water in pipe, let me right then, then water in pipe Increasing. Steel is an alloy of iron that has a composition less than a The maximum.
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