Natural Sciences

Surds...
Examples are √5 √20 √10
simply means they have no perfect square..
√4 √ 25 √ 81 these are not surds...

(SIMPLIFYING SURDS..)
always think of two numbers you can multiply to give out the given number and one of those numbers should be a perfect square..
Eg


(I) √8
Thinking of two numbers you can multiply to give out 8 and one must be a perfect square..
We get
√4.2
Separating those we get

√4 . √2
= 2√2.

(2) √45
=> √9.5
=> √9.√5
Since 9 is a perfect square we get
√9=3
=> 3√5 ansa...
Stay in touch

**Differencial equations**
Solve the equation
2t

t − dθ
dt

=5, given θ =2 when t =1.
Rearranging gives:
t − dθ
dt
= 5
2t
and
dθ
dt
= t − 5
2t
Integrating gives:
θ =
( 
t − 5
2t

dt
i.e. θ = t2
2
− 5
2
ln t +c,
which is the general solution.
When θ =2, t =1, thus 2= 1
2
− 5
2 ln 1+c from which,
c= 3
2 .
Hence the particular solution is:
θ = t2
2
− 5
2
ln t + 3
2
i.e. θ = 1
2
(t2 − 5 lnt +3)

To help you get the all concepts of ionisation and electron affinity for both first and second just use the atoms of Sodium (Na) and Chlrorine(Cl)...
Note: ionisation atoms are in gaseous state.per mole is the constituent....
ionise Na---Na+1 + -e (1st ionisation energy) eg

SET THEOREM..
To show that
(A')'=A
let x€(A')'
if x is a member of (A')'
implies tha
x is not a member of A'
if x is not a member of A'
then x is a member of A

thats the reason it is
(A')'=A

CH PH MA . base your focus on those 3 courses so together we can build the universe with advanced technology.

NPK inclusive magnesium then yu okay with mineral nutritional elements for plant growth..
Note: Purpose & Deficiency.
Look up to otherSystems

Transverse and longitudinal waveform(Difference)
Note:Vibration of particle
And movement of the wave.
In transverse the vibration of particles is at right angle to the direction of the waveform while in longitudinal the vibration of particle is parralel to the direction of the wave form.

Gucci

A-B
=AnB'

Bit advanced
Spiral bound

is the transfer of heat from a hotter side to a colder side by the movement of electrons and vibration of atoms.,conduction does not only occur in solids

Advanced Biology and Science