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Prove the square root of 2 is irrational

Explain proof by contradictionAssume sqrt(2) is rational i.e. can be expressed as the ratio of two integers: a/bUse algebraic steps to find this statement results in a contradictionirrationality proved by...

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Answered by Joseph P. Maths tutor
2626 Views

Why does integration by parts work?

Let's consider the form of the formula we use for integration by parts: the integral of u * dv/dx = uv - the integral of v * du/dx. We know that integration is the inverse of differentiation, so we should...

TS
Answered by Tomas S. Maths tutor
3569 Views

Find the area enclosed by the curve y = cos(x) * e^x and the x-axis on the interval (-pi/2, pi/2)

To find the area enclosed by a function, we need to use integration. Here, the function is not easy to integrate just by inspection, but it is the product of two functions we do know how to integrate: cos...

TS
Answered by Tomas S. Maths tutor
2815 Views

What is differentiation and how do I do it?

explain the following briefly: To work out the gradient, first principles, shortcutsexplain in detail: different methods

Answered by Maths tutor
2252 Views

Given that: y = 3x^2 + 6x^1/3 + (2x^3 - 7)/(3x^1/2), x > 0 Find dy/dx, give each term in its simplest form

y = 3x2 + 6x1/3 + (2x3/3 - 7/3)x-1/2Using the multiplication rule for indices y = 3x2 + 6x1/3 + (2/3)x5/2 - (7/3)x-1/2

Answered by Maths tutor
5861 Views

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