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PU)Calcilalo Ihe parlial derivalive f,(4, 1, 3) where f(v, %, 2) = ryz | (Give your answer as a whole Or exact number f,(4, 1, 3) . {(numbers)Previow AnsworsSubrit ...

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PU)Calcilalo Ihe parlial derivalive f,(4, 1, 3) where f(v, %, 2) = ryz | (Give your answer as a whole Or exact number f,(4, 1, 3) . {(numbers)Previow AnsworsSubrit Answers

pU) Calcilalo Ihe parlial derivalive f,(4, 1, 3) where f(v, %, 2) = ryz | (Give your answer as a whole Or exact number f,(4, 1, 3) . {(numbers) Previow Answors Subrit Answers



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If $^{2 n} C_{4}:{ }^{n} C_{3}=21: 1$, then find the value of $n$. (1) 4 (2) 5 (3) 6 (4) 7

Home. They're asking us to evaluate the Sigma notation for 3 to 17 of one over I squared plus three. Um, they're asking us to use a graphing calculator or spreadsheet to do it, so I've done it in Excel. The first column are the eye values from 3 to 17 and for each I value were subbing it into the Formula One over Ice Scripless three. And you can see those decimal values. They're really small. Um, our job was to add them all up. So when we add up all the numbers of the second column that gives a 0.290468 and that is the sum for this series so would make it equal to 0.29 zero if I'm rounding it to three Sync fix.

In this problem of logarithmic johnson we have to change the logarithmic form and we have given that this age four to the power three or we can say four cubed is equal to 64. And then We have given four to the power -3 is equal to one, divide with 64. And then RC is T to the power are. So this will be here T. To the power R. Is equal to us and then It is 3 to the power x. Is equal to four -T. And now we have given five to the power 17. This is here 70 is equals two, A plus B. This is here A plus B divided with A. And The last part is 0.7 to the power t. is equal to 5.3. And now we have to change into logarithmic form. So when they see this is the base, so base becomes the base of logarithmic function. So this will be Log and this is 64. So this would love 64 with the base four is equal to the exponents. So this would be three. And now yes this will be the base of log. So this would be Log one divided with 64. Which base four is equals 2 -3. And now this would be the base of law. So this would be loved as with base T is equal to the exponent exponent ID equals two R. And now this will become the base. So this would be logged four minus T. With Base three is equals two x. And now this is this becomes the base of logarithmic functions. So this will be loved A plus B divided with a. With base five is equals two 17 and now .7 becomes the base of law. So this will be log 5.3 with base .7 is equals two t. So this is a required logarithmic form of the problem. Yeah. Yes.

Okay, so we're asked to find the fallen. So we're gonna need are derivative for our function. And we also need to find f in verse. That's a well, our A is equal to four. That's the same as a of X Equalling. For so that is two X cubed plus three X squared. What's seven X and then plus four is equal to four. Okay, so what X value gives us for what we know that if X is zero gets plus for so f of geral is equal to four. So we have that are in verse that's four is equal to zero. Okay, so now that we've drawn that, let's find our derivative for function of prime of X that you could to six or three times to, which is six x squared plus, um six X plus seven. OK, And now let's evaluate that at, um, at this point here, actually, about that one, um, at this point here tonight. So So we get, um, zero plus several plus seven, that is, our solution is equal. Teoh 1/7

In the question, we have to find the value for half of three x 2, where F X is given us three to the power X. Now, moving towards the solution, as we know that affects is close to three to the power X. So F of three by two will be 4 to 3 to the power three by two. So this can be written as Square root of 3 to the power three. That is square root of nine in 23 which will be equal to three. Route three. Thank you.


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