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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...

3507 Views

What is important for a good language essay?

StructureFirstly, 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 quest...

MP
Answered by Maya P. Italian tutor
1568 Views

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

Use the auxiliary equation k2-5k+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^(k1x)+Be...

SM
1890 Views

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....

SH
Answered by Sanjith H. Maths tutor
2512 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 music...

AH
Answered by Amber H. Music tutor
4152 Views

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