Answer:
the answer can be found in cases like this , the answer is 20
Jamil has already 6 3/4 cups of butter.
He need 12. SO in order to get the needed butter, we subtract 6 3/4 to 12.
= 12 - 6 3/4
= 11 4/4 - 6 3/4
= 5 1/4
So Jamil needs 5 1/4 cups of butter to achieve the 12 cups.
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

g(x) = -3x - 8
g(x) = 10
⇒ -3x - 8 = 10
⇒ -3x = 18
⇒ x= -6
g(-6) = 10 <==== answer is -6
Answer:
x=1 and x=0
Step-by-step explanation:
We need to find the points at which the graphs y = x^2 + x – 2 and y = 2x – 2 intercept.
We know that:
x^2 + x – 2 = 2x – 2
x^2 - x = 0
Factorizing:
x(x-1) = 0
Therefore, the solution to the system of equation is x=1 and x=0.