Answer:
4
Step-by-step explanation:
lim (x^2 - 4) / (x - 2)
x --> 2
When we plug x =2, we get
(2^2 - 4) / (2 - 2)
= (4 - 4)/(2 - 2)
= 0 /0
Which is undefined.
Now we have to use L'hospital rule. Which says we need to differentiate the numerator and the denominator and apply the limit.
When we differentiate x^2 -4, we get 2x
When we differentiate x -2, we get 1
lim 2x/1
x --> 2
Now apply, the limit x = 2
2(2)/1
= 4/1
= 4
Therefore, limit of this function is 4, when x tends to 2.
Hope you will understand the concept.
Thank you.
Answer:
A
Step-by-step explanation:
let y = f(x) and rearrange making x the subject, that is
y = 
( multiply both sides by x³ )
x³y = 19 ( divide both sides by y )
x³ = 
( take the cube root of both sides )
x = ![\sqrt[3]{\frac{19}{y} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B19%7D%7By%7D%20%7D)
Change y back into terms of x, then
(x) = ![\sqrt[3]{\frac{19}{x} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B19%7D%7Bx%7D%20%7D)
= ![\frac{\sqrt[3]{19} }{\sqrt[3]{x} }](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5B3%5D%7B19%7D%20%7D%7B%5Csqrt%5B3%5D%7Bx%7D%20%7D)
→ A
6 boxes (add the cumulatively)
each box bas 5 pkgs so 10w,5o
1st box: 10w,5o
2nd box:20w,10o
3rd box:30w,15o
4th box:40w,20o
5th box:50w,25o
6th box:60w,30o
You need a min. of 48w and 27o
To solve this problem, we should understand how order of operations works. Perhaps the best way to show you this would be solving the problem with all of the work clearly labeled?
=4[2(21-17)+3] Original Problem
=4[2(4)+3] Solved the Parentheses
=4[8+3] Multiplied the 2 and 4
=4[11] Added the 8 and 3
=44 Multiplied the 4 and 11
An easy way to remember this is PEMDAS, which is an acronym for Parentheses, Exponents, Multiplication/Division, and Addition/Subtraction. Although it will not apply in this scenario (because we have brackets), it will come in handy for many others like this.
Using all of the information above, we can conclude that this expression equals 4.
Answer:
a
Step-by-step explanation:
