Answer:
(f+g) (x) =0 for x=-2
Step-by-step explanation:
f(x) = x^2 – 2x, g(x) = 6x + 4,
(f+g) (x) =f(x) +g(x) =
(x^2 – 2x) + (6x + 4) =
x^2 – 2x+ 6x + 4=
x^2 +4x+4
(f+g)(x) =x^2 +4x+4=0 (quvadratic equation)
x^2 +4x+4=x^2 +2x*2+2^2=(x+2)^2
then
(x+2)^2 =0
x+2=0
x=-2
(f+g) (x) =0 for x=-2
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:
n = 5m + 10 = 5(m + 2), since m + 2 is an integer, then the n is divisible by 5.
Step-by-step explanation:
Almost every even number except for 0 can be divisible by 2. An example of a four digit number that is divisible by 2 is 2,000. 2,000 divided by 2 is 1,000 so it can be divisible. Or you could use a challenging number which is 1,048. 1,048 divided by 2 is 524 so it is divisible.
Answer:
<h2>15</h2>
Step-by-step explanation:
The formula of a slope <em>m </em>:
From the graph we have the points (0.2, 3) and (0.4, 6).
Substitute: