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!
To solve this, you cross multiply, then divide. In this case, we multiply 4 and 2, then divide by 3.
4 x 2 = 8
8 / 3 = 2.66
So, x is 2.66
Y=mx+b
m=slope
paralell ines have same slope
y=2/3x-6
slope is 2/3
the equation of aline that passes through (x1,y1) and has a slope of m is
y-y1=m(x-x1)
given
(3,14) and slope is 2/3
y-14=2/3(x-3)
y-14=2/3x-2
y=2/3x+12
Answer:
r = 7 q - 34
Step-by-step explanation:
Solve for r:
-34 + 7 q - r = 0
Subtract 7 q - 34 from both sides:
-r = 34 - 7 q
Multiply both sides by -1:
Answer: r = 7 q - 34
9514 1404 393
Answer:
18 miles
Step-by-step explanation:
The map distance and ground distance are proportional.
(distance to school)/(3 in) = (12 miles)/(2 in)
Multiplying by 3 in gives ...
distance to school = (12 miles)(3/2) = 18 miles