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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...

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 +...