<img src="https://tex.z-dn.net/?f=a%20%5C%3A%20woman%20%5C%3A%20bought%20%5C%3A%20a%20%5C%3A%20bag%20%5C%3A%20of%20%5C%3A%20rice

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3 years ago

%20%5C%3A%20and%20%5C%3A%20gives%20%5C%3A%20%20%5Cfrac%7B1%7D%7B4%7D%20to%20%5C%3A%20her%20%5C%3A%20daughter%20%5C%3A%20and%20%5C%3A%20also%20%5C%3A%20gives%20%5C%3A%20%20%5Cfrac%7B2%7D%7B3%7D%20to%20%5C%3A%20her%20%5C%3A%20son.%20%5C%3A%20what%20%5C%3A%20fraction%20%5C%3A%20is%20%5C%3A%20left" id="TexFormula1" title="a \: woman \: bought \: a \: bag \: of \: rice \: and \: gives \: \frac{1}{4} to \: her \: daughter \: and \: also \: gives \: \frac{2}{3} to \: her \: son. \: what \: fraction \: is \: left" alt="a \: woman \: bought \: a \: bag \: of \: rice \: and \: gives \: \frac{1}{4} to \: her \: daughter \: and \: also \: gives \: \frac{2}{3} to \: her \: son. \: what \: fraction \: is \: left" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

Kisachek [45]3 years ago

3 0

Answer:

1/12 of the bag of rice is left

Step-by-step explanation:

1/4 us the same as 3/12

2/3 is the same as 8/12

and when you add them it will give you 11/12

now subtract 11/12 from 12/12

the mother will be left with 1/12 of the bag

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Math- Differentiation . Could you help me to solve this question?

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Answer:

Step-by-step explanation:

Hello, first of all we can find a value for f(1)

$xf(x)+f(x^2)=2 \\\\\text{So for x = 1, it gives}\\\\f(1)+f(1^2)=f(1)+f(1)=2f(1)=2\\\\ f(1) =1$

And we can get the derivative of the equation so.

$(uv)'=u'v+uv' \text{ and } \dfrac{df(x^2)}{dx}=2xf'(x^2) \text{ so we can write}\\\\f(x)+xf'(x)+2xf'(x^2)=0\\\\\text{And then, for x = 1}\\\\f(1)+f'(1)+2f'(1)=0\\\\ f(1)+3f'(1)=0\\\\ 3f'(1)=-f(1)=-1\\\\\large \boxed{ f'(1)=-\dfrac{1}{3} }$