ANSWER

EXPLANATION
When a die is tossed, the possible outcomes are
S={1,2,3,4,5,6}.

The event of getting a number less than 5 is
E={1,2,3,4}



Answer:

Step-by-step explanation:
We are given that
Volume of water in fish pond,V=3000 L
Mass of toxic chemical=5 kg
Rate=200L/min
Removes chemical=50%
We have to find the differential equation for the time.
Let mass of toxic at any time t= m kg
Rate=Rate in-Rate out



Sin x = cos (90-x)
eg sin 42 = cos(90-42) = cos 48
so the answer is B
Answer:
Step-by-step explanation:
Hello,
a. The area of region P is the area of the rectangle 1 * e minus the
![\displaystyle \int\limits^0_1 {e^x} \, dx=[e^x]^{1}_{0}=e-1](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cint%5Climits%5E0_1%20%7Be%5Ex%7D%20%5C%2C%20dx%3D%5Be%5Ex%5D%5E%7B1%7D_%7B0%7D%3De-1)
So this is e - (e-1) = e - e + 1 = 1
b. The area of region P is the area of the rectangle 1 * e minus P and minus the
![\displaystyle \int\limits^0_1 {e^{-x}} \, dx=[-e^{-x}]^{1}_{0}=-e^{-1}+1](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cint%5Climits%5E0_1%20%7Be%5E%7B-x%7D%7D%20%5C%2C%20dx%3D%5B-e%5E%7B-x%7D%5D%5E%7B1%7D_%7B0%7D%3D-e%5E%7B-1%7D%2B1)
So this is

This is around 1.08616127...
Hope this helps.
Do not hesitate if you need further explanation.
Thank you