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Find the centre coordinates, and radius of the circle with equation: x^2 + y^2 +6x -8y = 24

Firstly, rearrange the equation to group the 'x' terms together, and the 'y' terms together.x^2 + 6x + y^2 -8y = 24'Complete the square' on each of the x and y groups:(x + 3)^2 - 9 + (y - 4)^2 - 16 = 24Re...

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Answered by Sam N. Maths tutor
4070 Views

What is Integration

Integration can be conceptually understood in 2 different ways. firstly it is the reverse process of differentiation (Indefinite integration). Secondly it is used to work out the area under a curve (Defin...

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Answered by sulaiman n. Maths tutor
2702 Views

Differentiate y = arcsin(x) with respect to x

y = arcsin(x) implies sin(y) = x
Differentiating with respect to x gives: cos(y)*dy/dx = 1So: dy/dx = 1/cos(y)
Noting that cos(y) = sqrt(1 - sin^2(y)): dy/dx = 1/sqrt(1 - sin^2...

Answered by Maths tutor
3201 Views

Why does a myelinated neurone have a faster conduction time than unmyelinated neurones?

Myelination allows saltatory conduction to occur, which is when the impulse 'jumps' along the axon using the nodes of Ranvier. The myelin also acts as an electrical insulator.

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Answered by Sasha H. Biology tutor
2233 Views

Find the coordinates of the centre of the circle with equation: x^2 + y^2 − 2*x + 14*y = 0

method: complete the squares for (x^2 - 2x ) and ( y^2 + 14y ) using the formula (b/2)^2 (where the general equation is ax^2 + bx) so that the equation becomes ax^2 + bx ...

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Answered by Catherine A. Maths tutor
3821 Views

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