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Show that the points on an Argand diagram that represent the roots of ((z+1)/z)^6 = 1 lie on a straight line.

We want to simplify this equation to one that we know how to solve. If we let ((z+1)/z) = w, then we need to solve w^6 = 1, which is more familiar. Now we try to find the modulus and argument of w. w = re^(i...
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What is important for a good language essay?

Structure Firstly, you need to ensure that your essay fully engages with and clearly answers the question that has been asked. Ensure that all of your answer links back to the question - re-using a word from...
MP
Answered by Maya P. • Italian tutor
2537 Views

Find the complementary function to the second order differential equation d^2y/dx^2 - 5dy/dx + 6x = x^2

Use the auxiliary equation k 2 -5k+6=0. Solving this gives roots k=2 and k=3, which are real and distinct roots. This means that the complementary function is of the form y=Ae^(k 1 x)+Be^(k 2 x), where k 1 a...
SM
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If y^3 = 8.08, approximate y.

Firstly, recognize that 2^3 is 8, so y must be close to 8.It will be helpful to then write y^3 as y^3= 8 + 0.08We can then factorize out 8.y^3=8(1+0.01)If we try and take the cube root of this expression.y=2...
SH
Answered by Sanjith H. • Maths tutor
3273 Views

Explain the role of Miles Davis as a soloist and band leader in 'Round Midnight'.

From the outset of the piece we see Miles Davis as the leader of the quintet as his solo kicks off the track. The role that Davis has is to set the tempo for the rest of the piece as he is the first musician...
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Answered by Amber H. • Music tutor
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