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Find the area bounded by the curve x^3-3x^2+2x and the x-axis between x=0 and x=1.

To find the area under a curve that is bounded by the x-axis you simply need to integrate the equation of the curve between the limits, so for this equation we will integrate y=x³-3x²

Answered by Jack T. • Maths tutor

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Differentiate ln(x^3 +2) with respect to x

The differential of ln(x) is x^-1 or 1/x. Because we have x^3 + 2 inside the bracket we have to differentiate this term also and multiply this with the other term. For example, d/dx of x^3 +2 is equal to ...

Answered by George L. • Maths tutor

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A curve is defined by the parametric equations: X = 3 – 4t , y = 1 + (2/t) Find (dy/dx) in terms of t.

When dividing fractions by fractions with a common factor:

(a/c) / (b/c) = (a/c) * (c/b) = (ac/bc) we can cancel the common factor to get (a/b).

So in this question we can do the same:

<...

Answered by Eddie E. • Maths tutor

5885 Views

What is the photoelectric effect?

The photoelectric effect refers to the emmision of electrons from a surface, usually a metal, as a result of shining light (EM radiation). The light is absorbed by the electrons on the surface and thus th...

Answered by Michalis C. • Physics tutor

2356 Views

How is the conditional formed in German?

To form the conditional in German, the Subjunctive 2 (Konjunktiv 2) is used. The Subjunctive 2 is a mood used to express doubt or uncertainty, which is why it is used for the conditional; we are not stati...

Answered by Emma G. • German tutor

5490 Views