Mathematics Homework Solutions

How does one find the x-intercepts of a polynomial?

I'm terrible at finding x-intercepts..... how do I find the x-intercepts of f(x) = x^3 -6x^2 +12x -6 ? Any advice on finding x-intercepts would be great (except Newton's method).

Iterated Integral : Area

Use an iterated integral to find the area of the region: y = 1 /sq root (x - 1)

Finding the higher order derivatives of the function: f(x)=(2^2^x)+1. It represents a Fermat Number when x=1,2,3,...

To find the higher derivatives of the function f(x)=(2^2^x)+1 Differential Calculus Fermat Numbers Higher Order Derivatives of f(x) = [2^(2^x)] + 1 The function f(x) = [2^(2^x)] + 1 represents Fermat ...continues

Integration

Please see the attached file for the fully formatted problem. Integrate:

Integration

Integrate the following: y = (x - x^2)/(x^(1/6))

Differentiation: s = ut + 1/2at^2

This equation represents displacement of a body(s) against time (t) where (u) is the initial velocity and (a) is the acceleration. Differentiate to derive the equation for instantaneous velocity, which would be represented by the gradient of a graph. s = ut + 1/2at^2

What is calculus and how does it work?

What is calculus and how does it work? Are there different types of calculus and how do they differ?

Differentiation

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Differentiate

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Integration

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