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~x7 48 Colco la+e 46 J=x9 9 0n4 Ys bet wzen +he curues otea...

Question

~x7 48 Colco la+e 46 J=x9 9 0n4 Ys bet wzen +he curues otea

~x7 48 Colco la+e 46 J=x9 9 0n4 Ys bet wzen +he curues otea



Answers

$$ 12 x^{2} y-46 x y^{2}+14 y^{3} $$

When you're adding or subtracting fractions, you want to make sure that your fractions have a common denominator. That means they have thesafeside value in the bottom or the denominator of the fraction. This applies whether you are adding mixed numbers or improper fractions themselves. So let's take a look at an interesting problem. Eight and 1/6 added to 14 and 56 So we're actually adding whole units and fractions. And let's look at it that way so we know we can and the whole units eight plus 14. That's still gonna be whole units, but we also have to add the fractions. 16 plus 56 well eight plus 14 is 22 and because we have a common denominator of six, we can add the numerator as one plus five over that common denominator of six on. This gives us 22 plus six. Six Well, any number that has the same numerator and denominator is the division of six, divided by six. That's equal toe one. So this problem becomes the whole number, or inner jer numbers 22 plus one, which is a total of 23. So are mixed number Edition problem becomes an inner jer number in the end

As we look at four Y cubed is equal to six X squared plus one. We're asked to find the second derivative. All I need to say is that you have to take the derivative of the derivative in order to find the second derivative. So let's just start implicitly where you do the power rule, subtract one from your excellency, four times three is 12. Why squared? And any time you take the derivative of Y you have to write out dy dx same thing with the right side. You have the power rule and the derivative of one is zero, but you don't have to write plus zero. Uh So what I would do is I would solve for dy dx And as you divide the 12 over, those two are going to cancel. Uh Yeah, for sure. You want to write that out X over Y squared because you start to find the second derivative, which is the derivative of that thing. At least now you have a relatively easy quotient rule because it's just a quotient. So you just do the quotient rule. What's the question role while you take the derivative of the top, which is one, he leaves the bottom alone minus the derivative of the bottom. Uh And don't forget when you take the derivative of Y. It's right I dy dx you leave the top alone all over the denominator squared. And just as a heads up, dy dx we already know what that equals. It's equal to. Um Well let's just write it out And why squared squared becomes y to the 4th. Um But what you should notice there is dy dx is equal to X over Y, squared. What I like about that is a couple of things is you can actually cancel out one of these wise. And then you can simplify because a lot of people don't like the wise and the top and the bottom or start a fraction on top and bottom. So you can multiply top and bottom by why just make sure you distribute that why into the problem? So we're looking at why cubed minus two X squared. Again those wise will cancel all over wide of the fifth and I don't know if you would think about doing this, but you could actually simplify more because we are really close to something up here. You would just have to multiply top by four As long as you also multiply the bottom by four. But the reason why that would be beneficial as you distribute that you'll get four y cubed which is equal to six X squared plus one. six x squared plus one um minus eight because you do have to distribute there X squared all over four y to the fifth. Um so you could rewrite as 1 -2 x squared All over four wide of the 5th. I don't know if there is a good place to stop and that seems like a good answer.

Okay. This question we have to evaluate, we have to evaluate That is negative 0.71. one sq minus Into the parent thesis. There is negative modelers of negative 0.09 and hold raised to the power six. Okay, no problem. First of all, it will be negative. Okay. 0.7. Development Hallways to the power to that. It is It is 0.505. Okay, approximate. And this negative sign. Okay. Here and now uh in the exponents six there is a negative and models of this so we can rewrite it. First of all, negative one raised to the power six. And models of negative 0.9 can be written as positive 0.9 and it's raised to the power six. Okay. And it will be minus 0.505 and minus it will be minus one day to the power six. It is one multiplied by 0.809 raised to the power six. It will be 0.2803 Okay. When we saw it will be minus 0.505 and it is minus 0.2803 Okay. It is an ex proximate that is suggested by the question and it will be negative Okay minus minus. We will add them and put negative sign outside And it will be negative 0.7858. Okay. And when we solve this it will be approximate -0.78 six. Okay, you have 155 here. So this will be the final answer of this question. Thank you.

Again this question we have to evaluate the expression that is 15.66 sq negative. 4.17 Always to the power four, divided by 1.44 Multiplied by minus 3.68 Okay, So the numerator, that can be written as festival 15 9.66 Holy square and minuses also there. And minus 4.7 That can be written as minus one, raised to the power four and four .017 Ways to the Power four. Okay. Divided by 1.044. multiplied by three points six. Okay. for the weekend -1 here and multiple at about 3.68. Okay. And now to solve this, it will be 15.66 sq. This will become positive when we can rewrite it. 4.017 raised to the power four. Okay, understand. And whole divided by We can parenthesis here to make it understand. That is an exponent. Okay. And now it will be negative and 1.1 point 044 multiplayer. About 3.68 It will be 3.84192 Okay. And now in the numerator, 15.66 Holy Square. That will be to 45.2356 minus 4.17 whole days. To the Power four. It will be to 60.3798 Divided by the same from the negative 3.84192. Okay. And now we will solve the numerator that is to 45 to 35 6 minus this portion. And it will be negative 15.1442 divided by negative 3.84192 negative negative will cancel out. And when we divide it will be 3.94 Okay. And 3.9 vote. That is actually approximate. Okay. And it will be the final answer of discussion. Thank you.


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