Evaluate each value expression for the given value of x: 3x-13, x=6

Mathematics

1 answer:

Neporo4naja [7]3 years ago

5 0

Answer:

Step-by-step explanation:

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Figure ABCD is a parallelogram with point C (3, −2). Figure ABCD is rotated 90° clockwise to form figure A′B′C′D′. What coordina

olasank [31]

After rotation the output for point C´ would be ( - 2 . -3 ). There is also a graph showing rotation in the attachment.

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6 0

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 $c$ :

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

5 0

4 years ago

Please help thank you

matrenka [14]

Answer:

25.9 yd

Step-by-step explanation:

$a^{2}$ + ${b^{2} }$ = $c^{2}$