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3 years ago

Write the equation,of the trigonometric graph! help please asap!!!!

Mathematics

1 answer:

BaLLatris [955]3 years ago

3 0

Answer:

Look again at the equation y = a sin (bx + c). Notice that we have varied a, the amplitude, and b, the period. ... In the first equation, y = sin x, c is equal to zero. Look at the graph on the left to see that curve as well as the curve of the equation y = sin (x + 2).

Step-by-step explanation:

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2 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

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

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

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3 years ago

Write the equation,of the trigonometric graph! help please asap!!!!​

Write the equation,of the trigonometric graph! help please asap!!!!