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The curve C has equation 16*y^3 + 9*x^2*y - 54*x = 0 a)Find dy/dx in terms of x and y

16y 3 + 9x 2 y - 54x= 0 a) Differentiate the terms separately dy/dx(16y 3 + 9x 2 y - 54x) = dy/dx(16y 3 ) + dy/dx(9x 2 y) - dy/dx(54x) = 48y 2 (dy/dx) + 18xy + 9x 2 (dy/dx) - 54 Implicit differentiation, tre...
JG
Answered by Joseph G. • Maths tutor
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How do you factorise x^2 +5x+6?

So firstly, you need to find two numbers that multiply to make 6 and add to make 5 Make a list of numbers that multiply to make 6 i.e. 1 6 and 3 2 So you can either have (x 6)(x 1) OR (x 3)(x 2) Now you see ...
JP
Answered by Jayan P. • Maths tutor
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Integrate x/(x^2+2)

0.5Ln(x^2+2)+ C
RS
Answered by Rajan S. • Maths tutor
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How to solve Simultaneous Linear Equations, e.g. (4x + 5y = 17) and (3x + 2y = 4)

Explain how linear simultaneous equations with two variables ("unknowns") differ from single linear equations with two variables. Explain that a single linear equations have multiple, and indeed in...
HB
Answered by Henry B. • Maths tutor
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f (x) = (x^2 + 4)(x^2 + 8x + 25). Find the roots of f (x) = 0

firstly, x 2 + 4 = 0 x 2 = -4 x = 2i x = -2iSecondly, x 2 + 8x + 25 = 0 using the quadratic formulae: x = (-b +- sqrt(b 2 - 4ac))/2a x = (-8+-sqrt(64-100))/2 x = -8/2 +- sqrt(-36)/2 x = -4 + 3i x = -4 - 3i
LS
Answered by Laura S. • Maths tutor
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