Answer:
D.
Step-by-step explanation:
Remember that the limit definition of a derivative at a point is:
![\displaystyle{\frac{d}{dx}[f(a)]= \lim_{x \to a}\frac{f(x)-f(a)}{x-a}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28a%29%5D%3D%20%5Clim_%7Bx%20%5Cto%20a%7D%5Cfrac%7Bf%28x%29-f%28a%29%7D%7Bx-a%7D%7D)
Hence, if we let f(x) be ln(x+1) and a be 1, this will yield:
![\displaystyle{\frac{d}{dx}[f(1)]= \lim_{x \to 1}\frac{\ln(x+1)-\ln(2)}{x-1}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%281%29%5D%3D%20%5Clim_%7Bx%20%5Cto%201%7D%5Cfrac%7B%5Cln%28x%2B1%29-%5Cln%282%29%7D%7Bx-1%7D%7D)
Hence, the limit is equivalent to the derivative of f(x) at x=1, or f’(1).
The answer will thus be D.
Answer:
We have two fruits so we have following choices to make exactly 4 cups of fruits:
Blueberry Orange
0 4
1 3
2 2
3 1
4 0
In case 1: when she is using 4 cup of oranges so no need of blueberry.
In case 2: when she is taking 3 cup of oranges she will use 1 cup of blueberry to get exactly 4 cups of fruits.
case 3: when she is taking 2 cup of oranges she will use 2 cup of blueberries to get exactly 4 cups of fruits.
case 4: when she is taking 1 cup of orange she will use 3 cup of blueberries to get exactly 4 cups of fruits.
case 5: when she is taking 0 cup of orange she will use 4 cup of blueberries to get exactly 4 cups of fruits.
To do this problem, you need to add together all of the faces!
These are all the faces
A = 8*6
B = 8*6
C = 6*6
D = 6*6
E = 14*6
F = 14*6
G = 14*14 - 8*6
H = 14*14 - 8*6
Adding them all together would get you:
SA = 484 ft^2
I hope this helps!
Answer:
20 km/h
Step-by-step explanation:
Zoey rode a total of 120 km (there and back) in a total time of 6 hours (=2.5+3.5). Her average speed is given by ...
speed = distance/time = (120 km)/(6 h) = 20 km/h
Answer:
0, 10
Step-by-step explanation:
The given function is:
According to the quotient rule:
Applying the quotient rule:
The values for which g'(y) are zero are the critical points:
The critical values are y = 0 and y = 10.
