Your answers for (a) and (c) are correct.
(b) Salt flows into the tank at a rate of
If is the amount of salt (in kg) in the tank at time (in min), then the salt flows out of the tank at a rate of
The net rate of change in the amount of salt in the tank at any time is then governed by the linear differential equation
I'll solve this with the integrating factor method. The I.F. is
Distributing on both sides of the ODE gives
Integrate both sides.
Given that , we find
so that
Then the amount of salt in the tank after 1 hr = 60 min is
Answer:
6 inches
Step-by-step explanation:
Area = (base1 + base2)/2 · height
base1 = b
base2= 8
height = 3
Area = 21
21 = (b+8)/2 ·3
21 = 3(b+8)/2
multiply both sides by 2
42 = 3(b+8)
divide both sides by 3
14 = b+8
subtract 8 from both sides
b = 6 in
Your answer would be choice 3, because when all points of a line lie in a plane, the plain contains the line so the line can contain all of the points. Hope this helped. ;)
Answer:
Yes
Step-by-step explanation:
Hope this helps
Answer:
1. cm
2. 318.198 ft^2.
Step-by-step explanation:
Hmm. Very stuck. We'll just take it slow. :)
For the first one, we'll just square the bottom of the parallelogram, because
it's a square. The answer is above.
The second is a bit more complicated. The formula for the area of a parallelogram is (base) x (height)= A(area), but that will be of no use until we know the height (the dashed line on the left).
So, do let's go about finding the height with a 45-45-90 triangle.
The way these work is that the two short sides are equal to x, and the longer one is . So, in essence, .
15/=10.61
Both of the other two sides (one being the height) are 10.61 ft long.
Multiply that by 30:
30 x 10.61= and you get 318.198 ft^2.