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25(5x-2)^4

Information from question

Initial population: 170

Increase: 3% (=x1.03)

Years: 5

Method

Formula: initial...

First of all differentiate the equation of the curve implicitly, giving:

3x²-8y(dy/dx)=12y+12x(dy/dx)

=> (dy/dx)(12x+8y)=3x²-12y

=> dy/dx=(3x²-1...

e^x(u-1)

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....