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Certain phrases in french trigger the subjunctive mood; 'il faut que...' is an example of this. In terms of grammar, this means that 'faire' must be conjugated differently to how you would usually conjuga...

Answer = (3,17.5) maximum (4,17.33) minimum

First differentiate y = x^3/3 - 7x^2/2 + 12x + 4 to find dy/dx. Now, at turning points dy/dx = 0 and factorise to find x when dy/dx = 0. Put x back into ...

The method of doubt is a method developed by the philosopher René Descartes (1596 -1650) in his famous essay, Meditations on First Philosophy (1641). Descartes goal was to find a method which all...

Solve via Integration by parts:

let u=2x and dv/dx=e^x

the function that is u and the one that is dv/dx is given by LATHE (easier to explain on whiteboard)

make the table: u...

Using the intergarting rules, you would add a power then divide that new number to the coefficent so you would get 5x^3 and just add one x to the 7 and dont forget the c. So the end answer would be 5x^3 +...