

so the ODE is indeed exact and there is a solution of the form
. We have




With
, we have

so

Answer:
Step-by-step explanation:
Hello, the vertex is (1,2), right?
You remember that when the parabola equation is in standard form like below

The vertex is for , and we apply with this example where a = 1, b = -2, c=3

So this is the first graph.
Thank you
Answer:
The dividend is 360, divisor is 6 and quotient is 60.
Step-by-step explanation:
Factors of 3= 3*1
Factors of 18= 3*2*3
Factors of 60= 3*2*2*5
Taking LCM= 3*2*2*2*3*5= 360
60 is a factor of 360
The dividend is 360
If 360 is divided by 6 we get 60 which is a multiple of 3
and 6 is a factor of 18.
Therefore the dividend is 360 divisor is 6 and quotient is 60.
A really easy way to do this would be converting them all to decimals by dividing the top number by the bottom number.
7/5 = 1.4
15/4 = 3.75
3/2 = 1.5
11/4 = 2.75
13/3 = 4.33
Start with the whole numbers. 3/2 and 7/5 must go first since they both have a 1. 7/5 goes before 3/2 since it has a 4 in the tenths place, while 3/2 has a 5.
Next would be 11/4 since it has a 2, then 15/4 with a 3, and lastly 13/3 with a 4 as a whole number
Answer is 7/5 , 3/2 , 11/4, 15/4 , 13/3