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How do you write an interesting historical essay while satisfying the needs of exam boards?

There is no fixed method or style to writing a history essay. There are, however, certain elements which must be included to both engage a reader and satisfy the stipulations of an exam board - it is impo...

OT
Answered by Oli T. History tutor
2862 Views

What is the minimum frequency of electromagnetic radiation needed for a photon to ionise an atom of sodium? ( An atom of sodium has an ionisation energy of 5.15 eV.)

First, let's define what the ionisation energy is. The ionisation energy is the minimum amount of energy required to remove an electron from the ground state of an atom. That means, if we give an...

AM
Answered by Angus M. Physics tutor
13491 Views

Find the eigenvalues and eigenvectors of the matrix M , where M{2,2} = (1/2 2/3 ; 1/2 1/3) Hence express M in the form PDP^-1 where D is a diagonal matrix.

To start off, It's worth noting the definition of eigenvalues: for a Matrix A (n x n), it's ith eigenvalue (λi) is defined as the scalar constant the ith eigenvector (vi) is multipli...

LT
2989 Views

Find dy/dx in terms of t for the curve given by the parametric equations x = tan(t) , y = sec(t) for -pi/2<t<pi/2.

We know that dy/dx = (dy/dt) * (dt/dx). Differentiating each of the equations with respect to t gives. dy/dt = sec(t) tan(t) and dx/dt = sec2(t). Since dt/dx = 1 / (dx/dt) we have that dt...

OC
Answered by Oliver C. Maths tutor
6437 Views

7x+5y-3z =16, 3x-5y+2z=-8, 5x+3y-7z=0. Solve for x,y and z.

There are three methods to solve these types of silmultaneous equation questions, substitutution, elimination and matrices. In this example we use substitution and elimination.Elimination example.Eq1). 7x...

HM
Answered by Holly May B. Maths tutor
9138 Views

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