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Find the stationary points of the function z = 3x(x+y)3 - x3 + 24x

z = 3x(x+y) 3 - x 3 + 24xDifferentiating partially with respect to x and with respect to y:∂z/∂x = 3(x+y) 3 + 9x(x+y) 2 - 3x 2 + 24∂z/∂y = 9x(x+y) 2 At stationary points: ∂z/∂x = 0 and ∂z/∂y = 0.From ∂z/∂y =...
HT
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“Both Scott Fitzgerald’s ‘The Great Gastby’ and Joshua Ferris’ ‘Then We Came to the End’ act as criticisms of capitalism.’” Do you agree with the statement?

Furthermore, through their presentation of the divine ‘The Great Gatsby’ and ‘ Then We Came to the End’ act as criticisms or capitalism. There is a clear correlation between the Western world embracing capit...
CH
4723 Views

How do I use the quadratic formula?

example quadratic eqn: ax 2 +bx+c=0 => x = (-b+-(b 2 -4ac) 1/2 )/2a e.g. 4x 2 -13x+3/4=0 x= (13+-(157) 1/2 )/8 = 3.1912, 0.0588
BB
Answered by Ben B. • Maths tutor
3348 Views

Integrate cos^2A

Integrating sin^2A and cos^2A is a bit nasty so we can use double angle formula to make it a little simpler. cos2A = cos^2A - sin^2A = 2cos^2A - 1. We can rearrange to get cos^2A in nicer terms. cos^2A = 1/2...
RM
Answered by River M. • Maths tutor
5156 Views

Expand and Simplify (5x - 2y)^2

We can rewrite this as (5x - 2y)(5x - 2y). Now all we have to do is expand the brackets. We can do this by multiplying all the terms in the second bracket by all the terms in the first bracket and then sum t...
RM
Answered by River M. • Maths tutor
6445 Views