Answer:
(1/4)*(e⁶ - 7)
Step-by-step explanation:
a) Given
x − y = 0 if x = 0 ⇒ y = 0
x − y = 2 if x = 0 ⇒ y = -2; if y = 0 ⇒ x = 2
x + y = 0 if x = 0 ⇒ y = 0
x + y = 3 if x = 0 ⇒ y = 3; if y = 0 ⇒ x = 3
then we show the region R in the pics 1 and 2.
b) We make the change of variables as follows
u = x + y
v= x - y
If
x - y = 0 ⇒ v = 0
x − y = 2 ⇒ v = 2
x + y = 0 ⇒ u = 0
x + y = 3 ⇒ u = 3
Where u is the horizontal axis and v is the vertical axis, the new region S is shown in the pic 3.
c) We evaluate ∫∫R (x + y)*e∧(x² - y²)dA
The procedure is shown in the pic 4, where we have to calculate the Jacobian in order to use it to get the answer.
If "4/2/7" is all we have to work with, then PEMDAS rules will save the day. Do the division from left to right.
4/2 becomes 2. Then we have 2/7, a proper fraction. I don't see where an improper fraction would come from in this case.
Answer:
3 hours and 50 minutes
Step-by-step explanation:
Given that
Sarah drives for 1 hours and 40 minutes
And, rest for 25 minutes
And, then drive for another 1 hour & 45 minutes
We need to find out the total travel time in hours and minutes
First we convert into minutes i.e.
= 1 hour + 40 minutes + 25 minutes + 1 hours + 45 minutes
= 60 minutes + 40 minutes + 25 minutes + 60 minutes + 45 minutes
= 230 minutes
i.e.
3 hours and 50 minutes