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.
2 − 3 = −5
First we need to Add 3 to both sides of the equation:
2 − 3 + 3 = −5 + 3
Then we simplify:
2 = −5 + 3
2 = −2
Now we divide both sides of the equation by the same term:
2 / 2 = −2 / 2
Final answer: = −1
I hope this helps!
Given a relative frequency table is made from data in a frequency table.
Frequency Table
G H Total
E 12 11 23
F 14 8 22
Total 26 19 45
Recall that the relative frequency table is obtained from the Frequency table by dividing each entry of the frequency table by the ovarall total of the frequency table.
Thus the relative frequency table of the frequency table above is given by:
Relative Frequency Table
G H Total
E 12/45 = 0.27 = 27% 11/45 = 0.24 = 24% 23/45 = 0.51 = 51%
F 14/45 = 0.31 = 31% 8/45 = 0.18 = 18% 22/45 = 0.49 = 49%
Total 26/45 = 0.58 = 58% 19/45 = 0.42 = 42% 45/45 = 1.00 = 100%
For the given relative frequency table with the missing value y being the value of the relative frequency of E and G.
Therefore, the value of y is 27%
An Absolute Value Is Always Positive , So It Will Be Larger Than The Negative!
Hope This Helps!
-TyyBenjii
