Answer:
D 1
D 2
C 3
B 4
A 5
Step-by-step explanation:
for
then Cartesian coordinates are easier to use since 1/x and y² are easy to integrate.
for
then Cartesian coordinates are easier to use since each integral is not dependent on the others
for
then cylindrical coordinates are easier to use since
x²+y²=r² → 1≤r≤√2 , 0≤θ≤2*π
-2≤z≤2
therefore each integral is not dependent on the others and with the transformation the functions do not get more complex to integrate → is easier to solve
for
then spherical coordinates are easier to use since
x²+y²+z²=ρ² → ρ≤√2 ,
x≥0, y≥0,z≥0 → 0≤θ≤π , 0≤φ≤π/2
therefore each integral is not dependent on the others and with the transformation the functions do not get more complex to integrate → is easier to solve
for
then polar coordinates are easier to use since
x²+y²=r² → r≤2 , 0≤θ≤2*π
therefore each integral is not dependent on the others and with the transformation the functions get even easier to integrate (1/x²+y² turns to 1/r² that is easily integrable) → is easier to solve
Answer:
32 inches
Step-by-step explanation:
This is just a very simple division problem.
Area is height/length x width.
Just divide the area, 1280, by the height of 40.
This will get you 32.
Answer:
Step-by-step explanation: If you are trying to figure out how many gallons the whole family uses, the answer is 99 gallons.The reason is is because it says 2.2 gallons a minute and it takes 9 minutes for a shower. So you multiply 9 by 2.2 which would give you 19.8. Then you multiply it by 5 isnce it says 5 people take a shower.