Answer:
The answers would be 9 and 1.
Step-by-step explanation:
x= 5±√16 can be separated into two equations.
x=5+√16 and x=5-√16
1. 5+√16 can be solved by simplify √16, which is 4. So then it would become 5+4 which equals 9.
2. 5-√16 can be solved by simplifying √16 which is 4. So then it would become 5-4 which equals 1.
So the values of x are 9 and 1.
It's A, increased by a factor of 6.
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.
1. The surface that will be exposed to the rain is the lateral surface of the cylinder and the hemisphere.
2. The lateral area of the cylinder is a rectangle with height equal to the height of the cylinder and width equal to the circumference of the base of the cylinder.
3. the circumference of the base = 2

r=2*

*5=10

so the lateral area = 10

*h=10

*40=400

(

)
4. The surface area of a sphere is

so the surface of the hemisphere =

(

)
5. Total area exposed = 450
Hmm, it actually doesn't exist because at x=3, that is where the absoluve value turns into 0. the graph has a point at x=3 and there is no slope of a pointy part of a function. I mean the slope is undinfed, it is DNE