Grade 11 · 2023-01-29. The blockage is already accounted for as it affects the rate at which it flows out. Check the full answer on App Gauthmath. TF The dynein motor domain in the nucleotide free state is an asymmetric ring. The rate at which rainwater flows into a drainpipe is. 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. Steel is an alloy of iron that has a composition less than a The maximum. And my upper bound is 8. 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.
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. Let me put the times 2nd, insert, times just to make sure it understands that. 1 Which of the following are examples of out of band device management Choose. Now let's tackle the next part. But these are the rates of entry and the rates of exiting. Gauthmath helper for Chrome. So this is equal to 5. Alright, so we know the rate, the rate that things flow into the rainwater pipe. 4 times 9, times 9, t squared. The rate at which rainwater flows into a drainpipe cleansing. Is the amount of water in the pipe increasing or decreasing at time t is equal to 3 hours? Close that parentheses. 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. Provide step-by-step explanations. The result of question a should be 76. The rate at which rainwater flows into a drainpipe type. That blockage just affects the rate the water comes out. 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? 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. Then water in pipe decreasing. Allyson is part of an team work action project parallel management Allyson works. 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 the way that you do it is you first define the function, then you put a comma. Give a reason for your answer. R of 3 is equal to, well let me get my calculator out. 04 times 3 to the third power, so times 27, plus 0. Selected Answer negative reinforcement and punishment Answers negative. Good Question ( 148). 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. 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. And then close the parentheses and let the calculator munch on it a little bit. And so this is going to be equal to the integral from 0 to 8 of 20sin of t squared over 35 dt. In part A, why didn't you add the initial variable of 30 to your final answer? So let's see R. Actually I can do it right over here. So I already put my calculator in radian mode. AP®︎/College Calculus AB. And then you put the bounds of integration.
PORTERS GENERIC BUSINESS LEVEL. In part one, wouldn't you need to account for the water blockage not letting water flow into the top because its already full? 20 Gilligan C 1984 New Maps of Development New Visions of Maturity In S Chess A. This preview shows page 1 - 7 out of 18 pages. So we just have to evaluate these functions at 3. 89 Quantum Statistics in Classical Limit The preceding analysis regarding the. How do you know when to put your calculator on radian mode? So they're asking how many cubic feet of water flow into, so enter into the pipe, during the 8-hour time interval. 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.
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. Does the answer help you? Actually, I don't know if it's going to understand. Gauth Tutor Solution. And I'm assuming that things are in radians here. After teaching a group of nurses working at the womens health clinic about the. If the numbers of an angle measure are followed by a. I'm quite confused(1 vote).
Let me draw a little rainwater pipe here just so that we can visualize what's going on. See also Sedgewick 1998 program 124 34 Sequential Search of Ordered Array with. And this gives us 5. Ask a live tutor for help now. Once again, what am I doing? Unlimited access to all gallery answers. 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. Still have questions?
Upload your study docs or become a. That's the power of the definite integral. So that means that water in pipe, let me right then, then water in pipe Increasing. Why did you use radians and how do you know when to use radians or degrees? So it is, We have -0. We're draining faster than we're getting water into it so water is decreasing. 09 and D of 3 is going to be approximately, let me get the calculator back out.
Otherwise it will always be radians. 04t to the third power plus 0. 96t cubic feet per hour. T is measured in hours. 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. You can tell the difference between radians and degrees by looking for the. Course Hero member to access this document.
I would really be grateful if someone could post a solution to this question. So this is approximately 5. 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. 6. layer is significantly affected by these changes Other repositories that store.
We wanna do definite integrals so I can click math right over here, move down. 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. 96 times t, times 3. Almost all mathematicians use radians by default.