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Which of these shapes has the most sides? Hexagon, Octagon, Rhombus, Trapezium

Hexagon = 6 sides,Octagon = 8 sides,Rhombus = 4 sides,Trapezium = 4 sides. Therefore, the octagon has the most sides.

Answered by Ioan Iulian V. • Maths tutor

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Expand the expression (3x+2)(3-2x)

9x - 6x²+ 6 - 4x-6x²+ 5x + 6

Answered by Angus H. • Maths tutor

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The function f(x) is defined by f(x) = 1 + 2 sin (3x), − π/ 6 ≤ x ≤ π/ 6 . You are given that this function has an inverse, f^ −1 (x). Find f^ −1 (x) and its domain

To find inverse functions we swap the variables of the function we are taking the inverse of. let y=1+2sin(3x)so now, x=1+2sin(3y)Aiming to make y the subject, x-1= 2sin(3y)Therefore, (x-1)/2=sin(3y), ...

Answered by Harry C. • Maths tutor

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y = 4sin(x)cos(3x) . Evaluate dy/dx at the point x = pi.

By product rule:u = 4sin(x) v = cos(3x)du/dx = 4cos(x) dv/dx = -3sin(3x)dy/dx = u (dv/dx) + v (du/dx)dy/dx = 4sin(x) * -3sin(3x) + cos(3x) * 4cos(x)dy/dx = -12sin(x)sin(3x) + 4cos(x)cos(3x)Evaluate at x =...

Answered by Will F. • Maths tutor

4206 Views

What is a logarithm?

We can explain this by taking a simple power equation such as 2³ = 8 and setting each number as an unknown variable. For instance 2³ = x is solved by cubing 2, x³ = 8 is s...

Answered by Daniel W. • Maths tutor

3152 Views