Statement :- We assume the orthagonal sequence 
in Hilbert space, now 
, the Fourier coefficients are given by:
Then Bessel's inequality give us:
Proof :- We assume the following equation is true
So that, 
is projection of 
onto the surface by the first 
of the 
. For any event, 
Now, by Pythagoras theorem:
Now, we can deduce that from the above equation that;
For 
, we have
Hence, Proved
C. Each gender has differing attraction cues and priorities.
<h3>Why do men and women exhibit different preferences in mate selection?</h3>
Men and women exhibit different preferences in mate selection because both have different attraction cues and priorities for their partner. These cues and priorities leads to difference in preference of life partner.
So we can conclude that Each gender has differing attraction cues and priorities.
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Breaking down sugar (glucose) is a chemical change. Sugar is a compound that can be broken down.
<span>Protein is the type of food which is retered to as the building block of human body. Other functions of protein includes: it is a component of every part of the body especsially the hairs and nails. The body uses it to build and repair tissues, Itis used by the body to produce enzymes, hormones and other body chemicals. It is also the building block for bones, muscels, cartilages, skin and blood.</span>
Answer
given,
Side of copper plate, L = 55 cm
Electric field, E = 82 kN/C
a) Charge density,σ = ?
using expression of charge density
σ = E x ε₀
ε₀ is Permittivity of free space = 8.85 x 10⁻¹² C²/Nm²
now,
σ = 82 x 10³ x 8.85 x 10⁻¹²
σ = 725.7 x 10⁻⁹ C/m²
σ = 725.7 nC/m²
change density on the plates are 725.7 nC/m² and -725.7 nC/m²
b) Total change on each faces
Q = σ A
Q = 725.7 x 10⁻⁹ x 0.55²
Q = 219.52 nC
Hence, charges on the faces of the plate are 219.52 nC and -219.52 nC
