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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....

m=3

y1=1

x1=2

y-y1=m(x-x1)

y-1=3(x-2)

y-1=3x-6

y=3x-5

at the x-axis, y=0. 

Sub in to find the x co-ordinate:

0=3x-5

x=5/3. Hence the c...

First we write the fraction in terms of partial fractions with two unknown numerators, A and B, as follows: (x+2)/(x+1)² = A/(x+1) + B/(x+1)²

Note that since the denominator o...

now for any integral the method to deal with it is look for the easiest method, things can get trickier later down the line but always start by looking for the easy solution. this example allows us to see...