We first obtain the equation of the lines bounding R.
For the line with points (0, 0) and (8, 1), the equation is given by:

For the line with points (0, 0) and (1, 8), the equation is given by:

For the line with points (8, 1) and (1, 8), the equation is given by:

The Jacobian determinant is given by

The integrand x - 3y is transformed as 8u + v - 3(u + 8v) = 8u + v - 3u - 24v = 5u - 23v
Therefore, the integration is given by:
Given equation is:

Where T is the total cost; $36 is the entry fee per person and $60 is the one time bus parking fee.
As given, the bus holds up to 40 people, so let the total number of people be represented by 'x'
The bus holds up to 40 people so 'x' is either less than 40 or equal to 40.
Or this can be written as : 
Hence, the domain will lie between 0 and 40.
So option C : 0≤ x≤ 40 is the answer.
Answer:
I think its 19/pi that may be wrong
Step-by-step explanation:
sorry if that is wrong
Answer:
DF=13
Step-by-step explanation:
DE+EF=DF
2x+3+4=3x+4
2x+7=3x+4
7-4=3x-2x
x=3
DF=3x+4
DF=3(3)+4
DF=13