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differentiate y=(5x-2)^5

25(5x-2)^4
MK
Answered by Miss K. • Maths tutor
4874 Views

The population of sheep on an island is 170. The population of the sheep is expected to increase by 3% each year, what will the population of sheep be in 5 years time? [3 marks]

Information from question Initial population: 170 Increase: 3% (=x1.03) Years: 5 Method Formula : initial value x increase years 170 x 1.03 5 = 197 sheep Proof 170 x 1.03 = 175.1 (1st year) 175.1 x 1.03 = 18...
RP
Answered by Russell P. • Maths tutor
3458 Views

Find the gradient of the curve (x^3)-4(y^2)=12xy at the point P(-8,8)

First of all differentiate the equation of the curve implicitly, giving: 3x 2 -8y(dy/dx)=12y+12x(dy/dx) => (dy/dx)(12x+8y)=3x 2 -12y => dy/dx=(3x 2 -12y)/(12x+8y) As dy/dx is the gradient of the curve,...
FG
4758 Views

whats the integral of x.e^x wrt x

e^x(u-1)
PC
Answered by Peter C. • Maths tutor
5287 Views

An open-topped fish tank is to be made for an aquarium. It will have a square base, rectangular sides, and a volume of 60 m3. The base materials cost £15 per m2 and the sides £8 per m2. What should the height be to minimise costs?

Establish the areas of each of the five faces of the aquarium in terms of x and y, and then sum to obtain a function of the cost in x and y. Then identify that the volume also gives a function in x and y. Re...
JP
Answered by Jonny P. • Maths tutor
8039 Views