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First you rearrange the equation.It is known that tanθ=sinθ/cosθ therefore if we replace tanθ with sin/cos we get:sinθ/cosθ=2sinθIf you multiply both sides by cosθ this becomes:sinθ=2sinθcosθThen if you m...

with integration you need to increase the power and divide through by the new power for each term in the equation.2x⁵ goes to 2x⁶/6 = x⁶/3-1/(4x³) is equal to -...

y= 4x³- 3x²- 60x+ 24dy/dx = 12x²- 6x- 60 = 2x²- x- 10 = (2x-5)(x+2)
So stationary points are at x= 5/2 and x= -2
d²x/dy² = 24...

2x2x2x2 = 4x2x2 =8x2=16or(2x2)x(2x2)=(4)x(4)=16

Because of the signs within the equation we know that the factorised solution will be in the form (x+?)(x-?)The two numbers in the brackets have a product of -3 and the sum of -2.In this case, the numbers...