Convert 62 1/4 into decimal form.

Mathematics

2 answers:

Mkey [24]3 years ago

6 0

Word word word 62.3/4

fomenos3 years ago

4 0

Answer:

62 1/4 = 62.25

Step-by-step explanation:

Turn the improper fraction into a mixed number then divide as an equation.

62 x 4 = 248

248 + 1 = 249.

Put the 249 over the 4 and divide.

249/4 = 249 ÷ 4 = 62.25

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PLEASE HELP! See attachment:

beks73 [17]

$\bf f(x)=x^2e^{-2x}\\\\
-----------------------------\\\\
\cfrac{dy}{dx}=2xe^{-2x}+x^2\cdot -2e^{-2x}\implies \cfrac{dy}{dx}=xe^{-2x}(2-2x)
\\\\\\
\cfrac{dy}{dx}=\cfrac{x(2-2x)}{e^{2x}}\implies 0=\cfrac{x(2-2x)}{e^{2x}}
\\\\\\
0=x(2-2x)\implies 
\begin{cases}
0=x\\
0=2-2x\implies 2x=2\implies x=1
\end{cases}$

now, bear in mind, that zeroing out the denominator, also gives critical points, usually asymptotic points, where the derivative is undefined, now, in this case, the denominator is never zero, so we don't get any from the denominator, just from the numerator, and are 0 and 1

now check the picture below

running a first-derivative test on it, those are the values on those regions

you get a negative, regardless of what it might be, what matters is the sign
you get a positive, and then a negative

so, f(x) goes down, then up then down

now, you can see, there's on relative minimum and a relative maximum