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(2x+3)(x-1)

At a stationary point of y, dy/dx = 0.Step 1: Let's find dy/dx first by differentiating. To differentiate the product of two functions, we can use the product rule...

Ln(3x-7)=5 Remove logs from both sides 3x-7=e⁵Rearrange to make x the subject3x=e⁵+7x=e⁵+7 3

x = 3, y = 2

First, we need to factorise the denominator and therefore we use this formula: x_1,2 =[ -b + sqrt(b² -4 a c) ]/ (2a). You obtain two roots, x = 2 and x=3 and the integration is simpli...