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QuestionFoint)SECExaming the graph shown;{x)which thc fcllowing Mos: likely Ec Tue:0f (5) = 10 f (5) 0f"(5) ~1ONore of theabove...

Question

QuestionFoint)SECExaming the graph shown;{x)which thc fcllowing Mos: likely Ec Tue:0f (5) = 10 f (5) 0f"(5) ~1ONore of theabove

Question Foint) SEC Examing the graph shown; {x) which thc fcllowing Mos: likely Ec Tue: 0f (5) = 1 0 f (5) 0f"(5) ~1 ONore of theabove



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Which coordinate points represent the $x$ - and $y$ -intercepts of the graph below? (GRAPH CAN'T COPY). F. $(-5,-8),(0,0)$ G. $(0,-8),(-5,0)$ H. $(-8,0),(0,-5)$ J. $(0,-5),(0,-8)$

Hello! Plans for breathing cycle of a person PB graph is given Using this crappy have to calculate amount off energy required for one complete beach during one complete breathe. The pressure is 7000 Paschal change in volume. It's 2.5 in tow, 10 to the power minus 3 m cube. So energy required is called to bargain pressure in tow. Change in volume. So it is to be 17.5 to that's all. Thanks for watching it.

So this question is asking us to graph the to graph F. Of X. And then usually graph of F. Of X. Two. Then graph the derivative of F. Of X. So firstly we see here that F. of X is just linear with a slope of five. So you can grab that out pretty simply ever. This the line looks like that. That's our graph of fx. And then have prime of X. I'm gonna grab out. I'm going to plant out some points at this point here, The slope is five At x equals to the slope is five At x equals three. The slope is five At x equals four. The slope is five. The slope is not changing. So the derivative of this graph. Well, look Like this. It'll just sit at five the entire time. And these lines both go out in their directions, respectively. But this is the graph of F. Of X. And the graph of the derivative of F. Of X, respectively.

Hey there When this problem in part A. We were asked to find the area between F which we've drawn here, and the X axis, you know, and be a very different. So it's important to pay attention. We want right, the total area here. In other words, the area on top here, which clearly is seven and the era. Add that to the area that's beneath here between three and five, which is six. And so the answer for part a truly is just seven plus six, which is 13. That's the area area Isn't negative areas always positive if we talk about it that way? Parton be, on the other hand, asks for this a definite integral from 0 to 5 of the function f. All right, so what they're trying to convey here when we take a definite integral, we do have to interpret area that's beneath the X axis, as if it's a sin if it's negative. Okay, So in this case, um, we should count the six as negative area. So the seven is positive. The six going from 3 to 5 is negative. So seven minus six, of course, is who won and

And it wasn't very conduct. The relative Kajima. Yeah, that goes I e. Prem on the X you go to zero on? Yeah, were given the function if thanks ik 02 the minus one plus X minus one square times each of the X And then here we need to find the first derivative. So I prime the eggs. They direct them the money Swimming coaches Zero for this one. We need to use the product room, so this one will be the new. This will be the V recorded the New Times v Bram. It will be continue Bram V Plus your V Bram. Therefore, they lived in the X minus one square. We equals. You did too. Thanks, man. Is one attempts into the X, then plus we have the X minus. One square comes into the X. Now, every signified is one. We have each of the x times X minus one attempts with the two plus X minus one. So it was really fine. We get ego to each of the X X minus one and then we have the X plus one. From here, we send us on in coaches zero to find a critical point doesn't implies that the X minus one echo 20 X plus one must equal to zero exponential. We never equal to zero and isn't implies that the ex encouraged to one X in coaching minus one. And now we try to find critical, uh, trying to find Nah, yeah. Using the first derivative test. So we have This will be the X on then we have here with from us. Infinity. Infinity is with me. The m prime, the ax. So we have the value. Who will be the minus one and the one. So we have here. We can pick the value he will be managed to. This will be zero. This will be that you. So we see this one here we shouldn't get Yes, Session man has Plus on the plus here, therefore, the craft were going up going down. That was a good Now that far we have, this one will be for this point. Here we have the logo. The local Max. Yeah, and upon minus one about the man is one inside the function, we have the minus one on then plus to square before then for each, you know, minus one so equal to the far over here. So this would be the local Max doesn't mean a local mean for the expert you want it would have one inside the function going to go to you. The man is one, so this will be in the local minimum. So we found the local Max Anderson within the local mean here.


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