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Need help with question 9 and 10 please. Really struggling to get these questions right. Answers are attached below. 9. A piece of wire 6 metres long is cut into two parts. One part is used to form a square and the other part is used to form a rectangle whose length is three times its...

Solve the equation 6x^4 - 29x^3 + 40x^2 - 7x - 12 = 0, the product of two of the roots being 2. Solve the equation 8x^4 - 2x^3 - 27x^2 + 6x + 9 = 0, given that the sum of two of its roots is zero I really need assistance with these questions. I can form equations with the roots but I am...

Using a diagram, find equivalent expressions for: a.) cos(3pi/2+x) b.) tan(3pi/2-x) c.) sin(3pi/2-x)

This question is from Chapter 7 - Calculus - Introduction to Differentiation; from the textbook New Senior Mathematics Advanced Year 11&12, Third Edition. Primitive functions are not introduced until Chapter 16 - The anti-derivative.

A body starts from rest and moves in a straight line so that its velocity v ms^-1 after t seconds is given by v = 2t + 6t^2. Calculate: (a) its acceleration at the end of the first second (b) its displacement after 5 seconds, given that the body is initially at zero displacement. I...