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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
4660 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 Cos(angle)...
JS
Answered by Jamie S. Maths tutor
8705 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 the...
AS
Answered by Alec S. Maths tutor
4848 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 x. ...
DW
Answered by Dan W. Maths tutor
4278 Views

The line AB has equation 3x + 5y = 7 (a. Find the gradient of AB)

This is an easy one as long as you remember the important equation y = mx + c. I can't express how important it is for you to learn that equation. Step one: find y. Do this by taking 3x away from both sides ...
PW
Answered by Penny W. Maths tutor
5114 Views