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:
x<-2
Step-by-step explanation:
You first subtract 4 from both sides. Then you divide both sides by -8 (note: when you multiply or divide by a negative the sign flips. Then you get your answer
Answer:
2.56
Step-by-step explanation:
2 divided by 512
2 lol
Answer:
B.405 cm2
Step-by-step explanation:
12 times 15 is 315. The area of the rectangle is 315.
The area of the triangle is 90.
Add them and i got 405.
Answer:
613297
Step-by-step explanation:
The equation for exponential decay is y=A(1-r)^t
A=654,000
r (rate)=0.008 (0.8% as a decimal)
t=8 (2009-2000=8)
y=659,000(1-0.008)^8
y=613297.4028
Since you can't have part of a person, round: y=613297
