Answer:
Step-by-step explanation:
Answer:

Step-by-step explanation:
we have

This is the equation of the line in point slope form
where
The slope is m=1
The point is (4,8)
Convert to slope intercept form
Isolate the variable y
Adds 8 both sides

Combine like terms

Convert to function notation

Answer:
p=-2
Step-by-step explanation:
24p+12-18p=10+2p-6
Subtract what is to the right of the equal sign from both sides of the equation.
24p+12-18p-(10+2p-6)=0
Then pull out the like terms(factors)
Which is: 4p+8
=4(p+2)
Put that to 0 and 4=0 which is not a solution because it's a non-zero constant.
So now put p+2=0, subtract by 2 on both sides and the 2 cancels out and on the right side you have -2
p=-2
First, start by graphing the given region.
You should get a parabolic shape with min at (0,6) and end points intersecting with y=7.
When you rotate this around y=5, it will look like a vertical doughnut.
The cross-section of a doughnut is circular and looks like a washer.
Hence, we will use the 'washer method'

R is radius of outer ring from center which is y=5. The max value of region is y=7, giving a distance of 2 for our radius.
R = 2
'r' is radius of inner ring, this is point along curve f(x)=5+sec(x).
The distance from y=5 would be f(x) - 5.
r = sec(x)
Cual punto geométrico amigo