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Letbuk 16= {z 4)(2 52) What is the value of 2?Select one; @ 92 m :Clblze # 9dhEc None of them GiFd; % T ga"Dilel C%...

Question

Letbuk 16= {z 4)(2 52) What is the value of 2?Select one; @ 92 m :Clblze # 9dhEc None of them GiFd; % T ga"Dilel C%

Letbuk 16= {z 4)(2 52) What is the value of 2? Select one; @ 92 m : Clblze # 9 dhEc None of them GiFd; % T ga "Dilel C%



Answers

In Exercises $47-62,$ solve the initial value problem.
$$\frac{d z}{d t}=t^{-3 / 2}, z(4)=-1$$

In problem 50 we want to find Dy Dx and were given that X equals to T plus nine and Y equals 17 minus nine. So again, we can find DY DX DT and that's just too, and DY DT is simply seven, So Dy DX is always 7/2, no matter what he is.

In problem 50. We want to find the Y the X and were given the X equals two t plus nine and y equals 17 minus nine. So again we can find the wide the X t t. That's just too. And the wide E T is simply seven. So the Y the X is always seven halves, no matter what he is.

So for this, it tells us that s squared. Plus t squared is 1 45 and s t is equal to 72. From here, we know that we can think about Well, what times? What becomes 72? You can off one and 72 two and 36 Not four and 18 6 and 12. Big enough eight and nine. But out of these three, only one where the number squared times the other number square or plus the other number squared becomes 1 45 is eight and nine because eight squared because nine squared is 64 plus 81 which does become more in 45. So now that we found S and T, we're just gonna plug it into us minus two. T um, with the constraint that's t is greater than us. So we know that she has to be the nine, and it has to be the US So then we know that it's eight minus two times nine. The entire things squared, so X minus 18 squared, which is gonna be negative ton squared, which is 100. So the correct answer here is gonna be

There is a problem. Number 49. We have d Y by D t equal toe too deep less 90 square 90 square. And why off one equality, Which means equally true story, which means when equal to one y is equal to two. This has been given just to find the constant of integration. So let us move ahead with this multiplying both sides by D t. We'll be getting toe t minus 90 square DT. Now we have to integrate this call to T minus 90 year Squire D t. Okay. Education off liver is simply why? And this is to do you duty minus nine. Do you square duty? Okay, so this will be two D Esquire by two minus nine. Take you by three plus t. So why will be equal to do you squared minus three t Q plus. See, now we're using the condition. Initial condition has been given that when equal to one why I called to so two will be equal to one square my three and to one Q plus c. So she will be called toe uh, tu minus one plus three. That is four five minutes. One for it is great. Okay? It will be four. Yes. Now will be plugging in value of see over here. We'll be getting why call toe d squared minus three D Q less four. So this will be the answer. Thank you so much.


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