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f(x) = 8x³ + 1 / x³ >>> f(x) = 8x³ + x^-3
f'(x) = 3(8x² ) + -3(x^-4) >>> f'(x) = 24...

f(x) = (x-3)(2x^2 - x - 1)f(x) = (x-3)(2x +1)(x-1)x = 3, -1/2, 1 are roots of the cubic equation.

4x + y= 42x + y = 8
y= 4-4xy= 8 -2x4- 4x = 8 -2x-4 = 2xx= -2y= 12

2x^2 - 16x + 6= 2(x^2 - 8x) + 6= 2((x-4)^2 - 16) + 6= 2(x - 4)^2 - 26So a = 2, b = -4 and c = -26

First calculate the fraction of the sample that travelled by car to be 13/20.Next multiply the total population size by this proportion to find the estimate of the total number of people who travelled by ...