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We'll need to use the product rule.

Let's take u = x^2 -> du/dx = 2x, and v = ln(x) -> dv/dx = 1/x

Then dy/dx = x^2(1/x) + 2xln(x) = x + 2xln(x)

Substituting our x value gives (...

5w -3 = 3w + 15 

Need to get the numbers on one side, and letters on the other side.

5w = 3w + 15 + 3 

5w - 3w = 15 + 3

2w = 18

w = 18/2

w = 9

Socialists tend to support collectivism as they believe that both society and individuals benefit from a cooperative economic system. Socialists argue that humans are best able to fulfil their potential w...

First we differentiate the substitution giving, du/dx=-sinx, which is rearanged to dx=du/-sinx. we can then substitute this into the integral to get sinx e^cosx+1 du/-sinx which can be simplified to -e^co...

Most often applied to Lennie, imagery is particularly apparent in his physical description. His hands are called "paws" and indicate trouble when he uses them. He lumbers along like a bear in St...