Answer:
Step-by-step explanation:
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: V - 15 = 74; V = 89
<u>Step-by-step explanation:</u>
"difference" means subtraction
"is" means equals
Vidya's height <u>minus</u> 15 <u>is</u> 74
V - 15 = 74
To solve, add 15 to both sides: V - 15 + 15 = 74 + 15
V = 89
First you find the probability of each coin turning up tails, then you multiply the two probabilities together:
1/2 x 1/2 = 1/4
Answer:
$973.77
Step-by-step explanation:
$927.40 = 100%
New price = 100% + 5%
New price = 105% of 927.40
105% of 927.40 = 1.05(927.40)
1.05(927.40) = 973.77
-Chetan K
