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Explore the presentation of marriage within Othello. You must relate your discussion to relevant contextual factors and critical readings.

The marriage between Othello and Desdemona may act as a reflection of the societal values of both the Venetian society within the play as well as the Elizabethan audience at the time it was written. The conc...
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Integrate x*(5e^x)

Using integration by parts let U=x therefore du=dx.Let dv=5e^x therefore v=5e^x.answer = x*5e^x - integral(5e^x) = (x-1)(5e^x)
MS
Answered by Maximillian S. • Maths tutor
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Differentiate y=(5x^4)cos(2x)

Using chain and product rule.dy/dx=(20x^3)cos(2x) - (10x^4)sin(2x)
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Answered by Maximillian S. • Maths tutor
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A matrix M has eigenvectors (3,1,0) (2,8,2) (1,1,6) with corresponding eigenvalues 1, 6, 2 respectively. Write an invertible matrix P and diagonal matrix D such that M=PD(P^-1), hence calculate M^5.

Without even knowing M, the candidate can calculate M^5. This will follow from the fact that P is the matrix consisting of the eigenvectors of M as columns, and D will have the eigenvalues (in matching colum...
CB
Answered by Cameron B. • Maths tutor
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A smooth 4g marble is held at rest on a smooth plane which is fixed at 30 degrees to a horizontal table. The marble is released from rest - what speed is the marble travelling at 5 seconds after being released? Let g = 9.8ms^2

This question involves forces and kinematics. First begin by drawing the situation and identifying the forces acting on the marble. The weight of the marble acts vertically downwards and is equal to the mass...
MR
Answered by Maya R. • Maths tutor
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