5

Fn Yq dleniverrre 0J 490) 60, 2 Y= 314x +32TC) aR +1 4+7Fid Wvelp} ZZfic_4Frh She ~zfyahve of_Y = X 8 & Z010. Vc e! Y?_&G? O5 Xn+l Le IUnshon_ Jliy Cala-n ...

Question

Fn Yq dleniverrre 0J 490) 60, 2 Y= 314x +32TC) aR +1 4+7Fid Wvelp} ZZfic_4Frh She ~zfyahve of_Y = X 8 & Z010. Vc e! Y?_&G? O5 Xn+l Le IUnshon_ Jliy Cala-n 10 vf_y V2 Velues_fd

Fn Yq dleniverrre 0J 490) 60, 2 Y= 314x + 32TC) aR +1 4+7 Fid Wvelp} ZZfic_4Frh She ~zfyahve of_Y = X 8 & Z010. Vc e! Y?_&G? O5 Xn+l Le IUnshon_ Jliy Cala-n 10 vf_y V2 Velues_fd



Answers

Let $P(x, y)=6 x+8 y, R(x, y)=11 x+20 y,$ and $C(x, y)=$ $5 x+12 y .$ Evaluate each expression. See Example 3 $$R(8,0)$$

We have given here the questions as to X plus y is equal to two. Let's say this is a question first and a second question is given as three x plus y is equal to minus one. This is a question Second, Now we have to solve this equation by additional net. So first we will multiply by this question minus one. Then we will add both off the question cause and second So after multiplication like prosecution will be like this minus two x minus, Y will be equal to minus two. And the second question would be saying so. It will be three x plus. Why is equal to minus one now? The why has the proposed Corp ashamed and I'm just aiding these two questions of item will began sellout here and we can find out here the X will be equal to minus three now to support this value. Any question first. So we will find out as minus six. Plus, why is equal to two. So why will be equal to here? Eight. Okay, handle, We can say that here. The solution said for this equations as X physical to minus three and why is equal to it. Okay? And when we put this value, any questions? Second Hill. So I'm getting just two minus nine and plus a. That means it will give the desert minus one so that it is confirmed that the solution status correct.

As we have given here. The question X plus y is equal to 13. This is a question first, and the second equation is giving. And 22 x plus 36 Why is equal to 3 56? This is a question. Second, Now we have to solve these equations by additional method. So first, we've in my reply this equation by minus 22. Then we will add both of these equations cost and second. Okay, So I'm just writing the equation after multiplication and I question cost will be like this minus 22 eggs minus 22. Why will be equal to minus 2 86 and a second equation would be same as 22 x plus 46. Why? With the equal to 3 56 and I'll just adding these two equations here. So, Pastika, part as coefficient of X men began still out and the remaining part will be s 14. Why will be equal to 70? Okay, so here we can say that the value off I will be equal to five. Now, just put this loon equation forced here. So the question first will be like this X plus five is a quick oh party. So here X will be equal to 8 30 minus fight. And now it is clear back from this park that the solution second for these two questions is X difficult to eight and vice quarto five year. And when report these two equations So these to their lives accent, right. Any questions? Second, we will find out the desert three for physics as averages. OK, eso This is confirmed Argo solutions that discourage for these equations.

This question is asking us to get X and y using using metrics. Boom! So we were given two equations. Now you can set of metrics here. So we're serving X and why they're serving for X and y So that is you go to our koi fish a matrix six negative 10 and three Make it five. There is 1/4 to 7 and a So let's make this guy's toe 6 to 1. So who won times 1/6. Give us warning on negative 5/3 and 7/6 and second roving the same. So let's make 3 to 0. So it's gonna be are two minus three the first room. So first throwing this the same like you for over three civil of six and here is called zero here is going todo so fine minus yeah, you and here scoring nine of two. So even though we make this to one by multiplying by 2/9, we're gonna get zero is equal to one. So Jiro, you got to go on. That is not true. So the system is being consistent so we can say there is no solution

For this problem were given d y d x as a function and we're also given that y zero equals zero. So we see that why I've X equals the integral of for X times X squared plus eight the minus one third the X The best way to solve this integral is by doing a substitution, we can choose you to be X squared plus eight. So then D'You is two x t x Now, since we have a four x t x and me integral, we can see that two d u equals for X d. X. So we now need to evaluate this general. And with the substitution, it becomes two times the integral of you to the minus one third d u. Integrating using the power rule, we get two times three house times You two the two thirds plus seat Farley substituting an X squared plus eight for you. We get three times x squared plus eight to the two thirds plus c. So this tells us what why is as a function of X But we still have this constant c left over. We can solve with this constant using me given initial condition told. We were told that Y zero equals zero. So if we pulled in zero for X, we get three times zero squared plus eight to the two thirds plus seat a missile equal zero. So now he's need to simplify the right hand side of the equation. Well, we're then looking at three times the cube root of eight squared plus C, since the cube root of eight is to We're looking at three times two squared plus c, so that gives us a zero equals twelve plus c. So Ivan Chrissy, we see that negative twelve equal CD. Finally, we have to put all of those back into our original equation for why, and we can replace, see with negative twelve. So why've Ax equals three times X squared Quest eight to the two thirds


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