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lions [1.4K]
3 years ago
11

Heya guys! Much love... 1 7/8 x 2 1/3 simplify

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
4 0
<span>1 7/8 x 2 1/3
= 15/8 x 7/3
= 35/8
= 4 3/8
hope it helps</span>
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Determine the values of the constants b and c so that the function given below is differentiable. f(x)={2xbx2+cxx≤1x&gt;1
Lera25 [3.4K]
Assuming the function is

f(x)=\begin{cases}2x&\text{for }x\le1\\bx^2+cx&\text{for }x>1\end{cases}

For f(x) to be differentiable, it necessarily has to be continuous. For this condition to be met, we need

\displaystyle\lim_{x\to1^-}f(x)=\lim_{x\to1^+}f(x)=f(1)
\iff\displaystyle\lim_{x\to1}2x=\lim_{x\to1}(bx^2+cx)
\iff2=b+c

For the derivative to exist, the one-sided limits of the derivative must also exist and be equal. We have

f'(x)=\begin{cases}2&\text{for }x1\end{cases}

\displaystyle\lim_{x\to1^-}2=\lim_{x\to1^+}(2bx+c)
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Now we solve for b and c:

\begin{cases}b+c=2\\2b+c=2\end{cases}\implies b=0,c=2
5 0
4 years ago
Help as soon as possible<br> The greatest common factor of y^4. y^6 and y^5 is
olchik [2.2K]

Answer:

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Step-by-step explanation:

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y^6 = (y) (y) (y) (y) (y) (y) = y^4(y^2)

6 0
2 years ago
A barrel had 20 liters of water. Water leaked out from the barrel at a constant rate. After 24 hours, 14 liters of water was lef
SpyIntel [72]
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Answer:

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Step-by-step explanation:

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3 years ago
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denpristay [2]

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Step-by-step explanation:

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3 years ago
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