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We know the perimiter is split into the proportions 3:4:5 therefore by adding 3+4+5 we can work out what fraction of 72cm each side is.Thus 3/(3+4+5) = 3/12 = 1/4 is the fraction of 72 that belongs to the...

Cosec2A - cot2A= tanA
Left hand side=1/sin2A - cos2A/sin2A
=(1- cos2A)/sin2A
=(1-(1- 2 sin^2⁡ A)/ 2sinAcosA
=(1-1 + ( 2 sin^2⁡ A))/ 2sinAcosA
=sinA/cosA
=tanA
Therefore ...

3n+2 is less then or equaled to 14. 6n divided by N squared + 5 is less then 1. First, we are going to deal with the equation on the left. From this equation, takeaway 2 from both sides to get 3n<=12, ...

dy/dx = (dy/dt)/(dx/dt) y = t(4-t² ), then using differentiation of y with respect to t, dy/dt = 4 - 3t²x = t² + 2, then...

To see the answer more clearly, we can sketch the function. First, we start by sketching the parabola (curve). If we have a positive x^2 term then we have a U shaped parabola and if it is negative, i.e. -...