Answer:
See Below.
Step-by-step explanation:
We want to show that the function:
Increases for all values of <em>x</em>.
A function is increasing whenever its derivative is positive.
So, find the derivative of our function:
![\displaystyle f'(x) = \frac{d}{dx}\left[e^x - e^{-x}\right]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20f%27%28x%29%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Cleft%5Be%5Ex%20-%20e%5E%7B-x%7D%5Cright%5D)
Differentiate:
Simplify:
Since eˣ is always greater than zero and e⁻ˣ is also always greater than zero, f'(x) is always positive. Hence, the original function increases for all values of <em>x.</em>
Answer:
Step-by-step explanation:
See attachment for complete question.
From the attachment:
Dilation:
Required
Determine R'
First, subtract the coordinates of P from R. This means that R is measured from P.
Next, apply dilation factor 0.5
Lastly, measure R' from the origin by adding the coordinates of P to R'
Aiko jump roped for 20 minutes before stopping at 8:05. Just count 20 minutes back in order to see when she started.
8:05 - 20 minutes = 7:45
In triangle the sum of the angles =180,and we have angle=124 so,180-124=56.
X=4
Answer:
13f=29
Step-by-step explanation:
I hope this helps you out!
