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P is a variable point on the parabola x^2 = 4y. The normal at P meets the parabola again at Q. The tangents at P and Q meets T. S is the focus and QS = 2PS. (a) Prove that <PSQ = 90 (b) Prove that PQ=PT

Hey everyone, I have a prac test coming up and was wondering what practicals are there in advanced mechanics that I could be tested on. If you have any prac ideas just send them through so I can take a look at them.

1984 by george orwell

thank you, i didnt write part (c) wrong by the way i think you read it wrong because it says: [2](cos(x) + cos(45))(cos(x) + cos(135))

a) Determine the roots of z^4 + 1 = 0 in cartesian form. Plot them on an Argand diagram. b) Write z^4 + 1 in terms of real quadratic factors/ c) Divide by z^2 to show that cos(2x) = (cos(x) - cos(45)(cos(x) - cos(135)) Need help with part (c) thanks

yeah okay can you do it now?

But since the root has a multiplicity of 2 can it be found in the third derivative?

If the polynomial x^3+3ax^2+3bx+c=0 has a double root, show that the double root is (c-ab)/(2(a^2-b)) , given that a^2 doesnt equal to b Please help Im struggling with this question