Answer:
V = 20.2969 mm^3 @ t = 10
r = 1.692 mm @ t = 10
Step-by-step explanation:
The solution to the first order ordinary differential equation:

Using Euler's method

Where initial droplet volume is:

Hence, the iterative solution will be as next:
- i = 1, ti = 0, Vi = 65.45

- i = 2, ti = 0.5, Vi = 63.88

- i = 3, ti = 1, Vi = 62.33

We compute the next iterations in MATLAB (see attachment)
Volume @ t = 10 is = 20.2969
The droplet radius at t=10 mins

The average change of droplet radius with time is:
Δr/Δt = 
The value of the evaporation rate is close the value of k = 0.08 mm/min
Hence, the results are accurate and consistent!
Answer:
1.) ax^2 + bx+ c =0
2.) parabola
3.) X=-b2a
4.) maximum
5.) minimum
Step-by-step explanation: hope this helps
'A' is the square root of 25. That's 5, so take A=5 with you
as you go to the next step.
B is A³. A³ means (A x A x A). We know that 'A' is 5, so 'B' is (5x 5 x 5) = 125 .
Take B=125 with you to the next step.
'C' is B - 25. We know that 'B' is 125. So C = (125 - 25) = 100 .
Take C=100 with you to the next step.
'D' is the square root of 'C'. We know that C=100, so D = √100 .
The square root of 100 is 10, so D=10.
Take D=10 with you to the next step .
'E' is D+39. We know that D=10. So E=(10+39) = 49 .
Take E=49 with you to the last step.
'F' is the square root of 'E'. We know that E=49.
Answer:
39,096,288
Step-by-step explanation:
as we know that
The number of ways to pick 5 numbers from 45 are


= 1,221,759.
There are 32 ways to pick a gold ball so total number of ways to get 6 matching numbers is
1221759×32
= 39,096,288