Rewrite the equations of the given boundary lines:
<em>y</em> = -<em>x</em> + 1 ==> <em>x</em> + <em>y</em> = 1
<em>y</em> = -<em>x</em> + 4 ==> <em>x</em> + <em>y</em> = 4
<em>y</em> = 2<em>x</em> + 2 ==> -2<em>x</em> + <em>y</em> = 2
<em>y</em> = 2<em>x</em> + 5 ==> -2<em>x</em> + <em>y</em> = 5
This tells us the parallelogram in the <em>x</em>-<em>y</em> plane corresponds to the rectangle in the <em>u</em>-<em>v</em> plane with 1 ≤ <em>u</em> ≤ 4 and 2 ≤ <em>v</em> ≤ 5.
Compute the Jacobian determinant for this change of coordinates:

Rewrite the integrand:

The integral is then

Answer:
-2
Since b = -2, the y intercept is -2.
Answer:
Option b, c and e are wonderful approaches to solve the problem.
Step-by-step explanation:
Option (b) is appropriate this is because the option is talking about Simple random sampling where random universities are chosen to remove bias.
Option (c) is correct because this is an example of Stratified sampling where two homogenous groups (private and public universities are considered) and samples are chosen at random to remove bias
Option (e) is correct because this again is an example of Simple random sampling where 60 random STEM majors are chosen at random.
Between 0.5 and 0.6 can be an infinity.
<em><u>ex:</u></em><u /><u><em /></u><em />
0.51
0.52
0.517
0.5169889549.......
0.5999999999..........
etc.
Answer:
351.9 cm^3
Step-by-step explanation:
d = diameter = 8 cm
r = radius = diameter/2 = 4 cm
h = height = 7 cm
volume = (pi)r^2h
volume = (3.14159)(4 cm)^2(7 cm)
volume = 3.14159(16 cm^2)(7 cm)
volume = 351.858 cm^3
Answer: 351.9 cm^3