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.
Answer:
640 ounces
Step-by-step explanation:
128 fluid ounces per gallon x 5 gallons = 640 ounces
640 /100 = 6.4 ounces per balloon
Hi, Ptaverez1! :)
First we must length of an individual square; This can be achieved by using the formula for the area of a square:
Lets input the information we already know:
Take square root.
The length of an individual square tile is
6.5 ft.
Since they're are 9 tiles and the porch in a square, I can conclude that the measurements for the porch are 3 tiles by 3 tiles (as 3*3=9; using the formula for the area of a square.)
Since the length of the porch is 3 tiles, we must multiply the individual tiles piece length by 3:
The formula for the perimeter of a square is:
Lets input the information we know:
The perimeter of the porch is 78 feet²
Hope this helps.
-Benjamin
I=PRT
P=present amount
R=rate
T=time
basically
20+interest<u /> is more than or equal to 400
20+I<u>></u>400
minus 20 both sides
I<u>></u>380
solve
P=20
R=3%=0.03
T=?
I=PRT
380<u><</u>I=PRT
380<u><</u>20(0.03)(T)
380<u><</u>0.6T
divide both sides by 0.6
633.33333<u><</u>T
633.33 years at least