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Maths
A Level

How do you form a Cartesian equation from two parametric equations?

If the two parametric equations have the form x = at + b and y = ct + d then the first step is to rearrange one to make the parameter 't' the subject. We then substitute this equation for 't' int...

AL
Answered by Alexander L. Maths tutor
15480 Views

The curve C has the equation (x^2)+4xy-8(y^2)+27=0. Find dy/dx in terms of x and y.

dy/dx= (x+2y)/(8y-2x)

EO
Answered by Emily O. Maths tutor
3880 Views

Why do we have to use radians instead of degrees?

Radians are used a lot in A level maths because at higher levels, they allow for simplification of trigonometric functions. For example, when using radians, it can be said that:

Sin(angle) ≈ angle ...

JS
Answered by Jamie S. Maths tutor
6952 Views

Split the following expression into partial fractions of the form A/(x-3) + B/(4x+2) : (19x-15)/(4x+2)(x-3)

Set the expression equal to the form required in the solution. Multiply both sides by (4x-2)(x-3) to get rid of the denominator and acquire an expression of the form: 19x-15 = A(4x+2) + B(x-3). From here ...

AS
Answered by Alec S. Maths tutor
4208 Views

Differentiate with respect to x: (4x^2+3x+9)

8x + 3. When you differentiate you must take each term separately. For the first term (4x^2) you must times the coefficent of x (4) by the power (2) and subtract one from the power. Giving an answer of 8 ...

DW
Answered by Dan W. Maths tutor
3532 Views

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