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How does integration by parts work ad when to use it?

Integration by parts should be used when you want to integrate a function composed of two factors (we can call them 'u' and 'dv'), where it is fairly easy to derive 'u', while it is difficult or impossibl...

MO
Answered by Michal O. Maths tutor
3057 Views

A circle with centre C has equation: x^2 + y^2 + 20x - 14 y + 49 = 0. Express the circle in the form (x-a)^2 +(y-b)^2=r^2. Show that the circle touches the y-axis and crosses the x-axis in two distinct points.

Firstly we rearrange the expression to the required form:x2 + y2 + 20x - 14y + 49 = 0 which gives (x + 10)2 - 100 + (y - 7)2 - 49 + 49 = 0 and so ...

JI
Answered by John I. Maths tutor
7265 Views

Integrate ln(x/7) with respect to x

Firstly split up the ln(x/7) = ln(x) - ln(7) using rules of logarithms learnt in your first year of A-levels, as this will reduce any likely error.Secondly, recognise that the -ln(7) term is constant, and...

AS
Answered by Arjun S. Maths tutor
3173 Views

How can I prepare for an exam or essay that requires comparing two texts?

Firstly, you should check your syllabus to see what stipulations there are about the texts you are comparing. Does one have to be a poem, or pre-1900, do you have to compare two different mediums of texts...

IM
3883 Views

A myelinated axon conducts impulses faster than a non-myelinated axon. Explain this difference:

A myelinated neurone is insulated by a layer of Schwann cells that make up the myelin sheath. This aids in the faster conduction of an action potential down the neuronal axon. Depolarisation of the axon c...

HP
Answered by Hanna P. Biology tutor
18400 Views

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