Answer:
f'(1)=150ln(1.5)
Step-by-step explanation:
I'm not sure why you would need a table since the limit definition of a derivative (from what I'm remembering) gives you the exact formula anyway... so hopefully this at least helps point you in the right direction.
My work is in the attachment but I do want to address the elephant on the blackboard real quick.
You'll see that I got to the point where I isolated the h's and just stated the limit equaled the natural log of something out of nowhere. This is because, as far as I know, the way to show that is true is through the use of limits going to infinity. And I'm assuming that you haven't even begun to talk about infinite limits yet, so I'm gonna ask you to just trust that that is true. (Also the proof is a little long and could be a question on it's own tbh. There are actually other methods to take this derivative but they involve knowing other derivatives and that kinda spoils a question of this caliber.)
Answer:
6 miles
Step-by-step explanation:
1/3 of 18 is 6 since 18 / 3 is 6
The formula of an area of a rectangle:
A = wl
We have l = w - 4 and A = 21.
Substitute:
w(w - 4) = 21 <em>use distributive property</em>
(w)(w) + (w)(-4) = 21
w² - 4w = 21 <em>subtract 21 from both sides</em>
w² - 4w - 21 = 0
w² - 7w + 3w - 21 = 0
w(w - 7) + 3(w - 7) = 0
(w - 7)(w + 3) = 0 ↔ w - 7 = 0 ∨ w + 3 = 0
w = 7 ∨ w = -3 < 0
l = w - 4 → l = 7 - 4 = 3
<h3>Answer: the length = 3 u.</h3>
Hey there! :) So first of all, I got 31.67 per second. The way I got my answer is first, I knew that 1 KM is 1000 Meters. So now, I multiplied 114 x 1000 which equals 114,000 Meters. Then, I figured out that 1 Hour has 3600 Seconds. Then I did 114,000 ÷ 3,600 and got 31.67 Seconds. And that is how I got the answer!
Hope it helps and it's the right answer & it's understandable! :D
Answer:
Yes, they are correct. Hernando divided 6 by 6.
Step-by-step explanation:
Given that:
Hernando ate 2/8 of a pizza for dinner.
Let the pizza be x. Then:
Hernando ate 
Then he gave the rest of the pizza to his friends
Hernando now carried out the following calculations to support his activities;
From the above calculation; we will see that Hernando divided 6 by 6 in both cases to get 
.
Thus, the correct answer is:
Yes, they are correct. Hernando divided 6 by 6.
