Answer:
The first one
Step-by-step explanation:
Because
Answer:
m = 29/48
Step-by-step explanation:
Given that
x₂ = (y₂-y₁) +10 →(1
y₂ = y₁-x₁ → (2
y₁= 37
x₁ = 29
Now substitute the value of x₁ and y₁ into equation 2
y₂ = 37-29
y₂ = 8
Now substitute the value of y₂ and y₁ into equation 1
x₂ = (8-37) +10
x₂ = -19
As we know the slope (m) can be calculated as follows
m =(y₂ - y₁)/(x₂ - x₁)
m = (8- 37)/(-19 - 29)
m = (-29)/(-48)
m = 29/48
So our slope is 29/48
The formula to find density is Mass/Volume
We have
Density =
Volume =
Hence
Mass = 7.8×10504 = 81931.2 gram
In Cartesian coordinates, the region is given by
,
, and
. Converting to cylindrical coordinates, using
we get a Jacobian determinant of
, and the region is given in cylindrical coordinates by
,
, and
.
The volume is then
It's going to be number 4