The given ODE

is exact if
. It so happens that we have
, so it is indeed exact. For such an ODE, we're looking for a solution of the form
, for which the differential is

so we have the following system of PDEs that allow us to solve for
:


In the first PDE, we can integrate both sides with respect to
and recover
:


Then differentiating this with respect to
returns
:



So the general solution to the ODE is

or simply

<em>*100% Correct answers</em>
Question 1
A surgical technique is performed on 10 patients. You are told there is an 80% chance of success. Find the probability that the surgery is successful for exactly 6 patients.
0.088
Question 2
Sam creates a game in which the player rolls 4 dice. What is the probability in this game of having at least 2 of the dice land on 5.
0.13101963141
Question 3
Katie creates a game in which 3 dimes are flipped at the same time.
5 points are awarded if all 3 dimes land on tails, but no points are awarded for anything else. What is the probability of not getting any points? (Hint: Find the complement).
0.875
Answer:
Well it depends if I am writing a whole thing that I want to type then It would prob be 400 maybe less. But if I am copying something else then it prob be like 350 maybe.
math worksheet
1 x+2=4
2 x+3+x=7
3 find x here it is - x