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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...

Pythagoras' theroem states that on a right-angle triangle, the square of the longest side (hypothenus) is equal to the sum of the squares of the other two sides.

Therefore, H² = A^2<...

-Antibiotics kill individual bacterial cells. Random mutation of the DNA in a bacterial cell might confer antibiotic resistance to that bacterial cell. A cell with the resistance mutation is less likely t...