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Find ∫ (2x^5 - 1/(4x^3)-5) dx. giving each term in its simplest form.

with integration you need to increase the power and divide through by the new power for each term in the equation.2x 5 goes to 2x 6 /6 = x 6 /3-1/(4x 3 ) is equal to -x -3 /4 which then goes to -x -2 /4/-2 =...
KY
Answered by Kieran Y. • Maths tutor
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Find both stationary points for y= 4x^(3)-3x^(2)-60x+24. Also find the nature of those points.

y= 4x 3 - 3x 2 - 60x+ 24dy/dx = 12x 2 - 6x- 60 = 2x 2 - x- 10 = (2x-5)(x+2) So stationary points are at x= 5/2 and x= -2 d 2 x/dy 2 = 24x - 6 24(5/2) - 6 = positive so this is a minimum point 24(-2) - 6 = ne...
WM
Answered by Will M. • Maths tutor
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Coal is a non-renewable energy resource. Name two other non-renewable energy resources.

oil and gas
KY
Answered by Kieran Y. • Physics tutor
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The function f is given by f(x) = SQRT(2x − 5). Work out x when f(x) = 1.2

1.2 = SQRT(2x-5)square both sides1.2^2 = 2x -5 add 5 to both sides 1.2^2 + 5 = 2xdivide both sides by 2(1.2^2 + 5)/2 = x
KY
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Work out the value of 2^4

2x2x2x2 = 4x2x2 =8x2=16or(2x2)x(2x2)=(4)x(4)=16
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Answered by Kieran Y. • Maths tutor
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