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Find f if f" (#) 1247 + 61 H,andf(o) E 65,f(1)| Ei Hih...

Question

Find f if f" (#) 1247 + 61 H,andf(o) E 65,f(1)| Ei Hih

Find f if f" (#) 1247 + 61 H,and f(o) E 65,f(1)| Ei Hih



Answers

If $f(x, y)=e^{y} \cosh x,$ find $f_{x}(-1,1)$ and $f_{y}(-1,1)$.

About question number 54. We gotta evaluate thes two conditions to find the value off to find the function f x. So first, we'll use the first condition. Uh uh. We integrated both sides to get the value off to get the equation for F integration off F dishes. Nothing but ethics on over here. We're going to use the somewhat difference rule off integration in which each Tom is integrated separately. So we have six x two squared DX. We have four x dx and we have a duty x six comes outside using the constant shul on extra square DX integral iss X, Cuba or three using the power rule. Likewise. Over here we have four minus four defects. Where over two on here We have two weeks. Integration of DX is just X plus. The constant of integration is See, So this is ethics. Now we have to find C, and that's very question. The condition to comes in a text to go toe one fs nine, replacing F by nine and x by 13 times to six minus two plus two plus c. So the value of C consult us nine minutes to hours seven. Uh, we place the seven over here to get near the final equation off effects, which is two X cube minus two X square plus two weeks plus seven. So this is the final answer.

Okay, so we want to find the following some for everyone to have 10. So let's start by listing out a couple of terms for back. Starting at Exit one District was two and then four, and then to to fire three, which is eight and so on. Now let's confirm if this is a tragic secrets. If it is, then we can use our formula for two and a portion some, because isn't this is the sum of our first tenders. We get four over to stick with the to ain't over, for It's also good to to, so we see that we have the same ratio. So that means we have, with your magic sequence over common ratio to so that is we confined. Or this is the same as US of time, which is equal to our first time. That's two times one minus R to the power of 10 over one minus two. So let's put this into my time for that. See what I get Should we see there are some is equal to 204 states

We have a juvenile pento. If our practice felt me your face into Johnson X minus T First, we have to understand that Get us into Japan's. Suppose you're destined to get Johnson eggs is a little a when a Lyndon's going toe x Lyndon. Yeah, unless what X block belong Okay into a pleasant one than the Belo off exit here. So you're taking an example. Pork went to We're agent in pigeon, where Agent Asia. Similarly, disabilities came because here food Let them 4.2 Laziness goto hi are temporarily similarly 4.44 point four is also for him nearly 4.9 at the airport by nannies. Also for similarly milieu of forties also so applied this one here therefore first will complete the airport minus pipeline to know plugger minus pipe went to minus t. Then here ill get minus. It went to no minus 8.2 with the value of minus 8.2 is minus name because my next eight point minus appointment belong minus nine later skull to minus 8.2 less, then minus. And that's what the rest values mind last night Does this bell hunting about this value is minus similarly really compelled. The bell You are a pop so explain. Do so explain to so dude in the value of X here. Six. Pento minus Till then you will get here. She went toe the better off to appoint to its TV because three point toe belong in teacher TVN. Poor So Louis Miller Vision T similarly will compete with the belly works. Explain. Nine explained 98. Explain nine miners TV. Denny will get their 50.9 belly up to the 0.90 TV. You're getting a little teary banana TV because dependent and belong to India. Every plane, TV and poor there's right below up by 1980. Thank you.

Number 48 we go to evaluate the function of fixtures started satisfies the given toe conditions. So first of all, uh, order the we will work on the first condition which will integrate both sides. Integration off of Dash X is nothing but affects on using the some or different rule of integration. Will find integration off all the parts separately using the power rule. This is X squared over two. Using the constant rule five comes outside and the integration of the sexes just takes plus C, which is the constant off integration. Nor will use the second equation to evaluate. See, so will substitute X s six on F as one because F one is six. It means that the value of F at X equal to one six so excess we have just swabbed the values of X and F. So at X equal toe one FX is six. So let's substitute that we have six as one or two minus one plus c. This comes out as six is equal toe minus 9/2 plus C. So she comes out as six plus nine over to 16th to Australia and 12 1st 1921. So we have 21 over to as, ah, see on we put this 21 over to over here. So the final answer comm sorters X square over to minus five X plus 21/2. This is the final expression for ethics on this is the final answer.


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