3 years ago

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Mathematics

1 answer:

Jet001 [13]3 years ago

3 0

Yes that is correct good job

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Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms.

sattari [20]

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A = - 5x² -8x + 2

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3 years ago

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Find to one decimal place, the area of:

Maru [420]

Answer:que?

Step-by-step explanation:

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Evaluate −8x+5−2x−4+5x when x=2

ollegr [7]

−8x+5−2x−4+5x

-8(2)+5-2(2)-4+5(2)

(-16)+5-4-4+10

-11+5-4-4+10

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3 years ago

Determine the values of the constants b and c so that the function given below is differentiable. f(x)={2xbx2+cxx≤1x>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

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

$\displaystyle\lim_{x\to1^-}2=\lim_{x\to1^+}(2bx+c)$
$\iff2=2b+c$

Now we solve for $b$ and $c$ :

$\begin{cases}b+c=2\\2b+c=2\end{cases}\implies b=0,c=2$

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3 years ago

WILL MARK BRAINLEST IF YOU ANSWER CORRECTLY

muminat

Answer:

7 units

Step-by-step explanation:

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2 years ago