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

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 ...

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 ...

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 ...

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 b...