The differential equation
is considered exact if (where subscripts denote partial derivatives). If it is exact, then its general solution is an implicit function such that and .
We have
and , so the equation is indeed exact.
Now, the solution satisfies
Integrating with respect to , we get
and differentiating with respect to , we get
Then the general solution to the exact equation is
Answer:
Undefined
Step-by-step explanation:
A straight vertical line is a undefined slope
A straight horizontal line is a slope of 0
Answer:
59/6
Step-by-step explanation:
- Multiply 3/4 with 12
- 12 x 3 will become 36 and divided by 4 is 9
- 9 + 5/6 cannot be added because they do not have the same denominator.
- Next you have to multiply 9/1 with 6/6 so that it has the same denominator as 5/6
- The problem will now become 5/6 + 54/6
- Now you can add the numerators and get the answer
- The answer is59/6
To compare the ratios 2 to 7 and 5:7 using the circles to model we need to make two circles first.
Then we need to make 7 parts of each circle.
For 2:7 ratio, we need to shade 2 parts of the total 7 parts of the circle.
For 5:7 ratio, we need to shade 5 parts of the total 7 parts of the circle.
So, the first circle represents 2:7 ratio and second circle represents 5:7 ratio.
Answer:
Solution: given that
n = 38
p = 2/5 = 0.4 q = 1-p = 1-0.4 = 0.6
standard deviation = sqrt(n*p*q)
sqrt(38*0.4*0.6) = 3.0199