Whats the answer to 10 times 1/4? (10×1/4)

Mathematics

2 answers:

Inessa05 [86]3 years ago

7 0

Answer:

2 1/2

Step-by-step explanation:

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

101×14

Applying the fractions formula for multiplication,

=10×11×4

=104

Simplifying 10/4, the answer is

=2 1/2

Hope You Like It! :)

valina [46]3 years ago

4 0

Answer:

5/2 or 2 1/2

Step-by-step explanation:

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I'm reading this as

$\displaystyle\int_C2xe^{-y}\,\mathrm dx+(2y-x^2e^{-y})\,\mathrm dy$

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You have

$\begin{cases}\dfrac{\partial f}{\partial x}=2xe^{-y}\\\\\dfrac{\partial f}{\partial y}=2y-x^2e^{-y}\end{cases}$

Integrate $\dfrac{\partial f}{\partial x}$ with respect to $x$ . You get

$\displaystyle\int\dfrac{\partial f}{\partial x}\,\mathrm dx=\int2xe^{-y}\,\mathrm dx$
$f=x^2e^{-y}+g(y)$

Differentiate with respect to $y$ . You get

$\dfrac{\partial f}{\partial y}=\dfrac{\partial}{\partial y}[x^2e^{-y}+g(y)]$
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$2y=g'(y)$

Integrate both sides with respect to $y$ to arrive at

$\displaystyle\int2y\,\mathrm dy=\int g'(y)\,\mathrm dy$
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$g(y)=y^2+C$

So you have

$f(x,y)=x^2e^{-y}+y^2+C$

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