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Maths
A Level

The Curve C shows parametric equations x = 4tant and y = 5((3)^1/2)(sin2t) , Point P is located at (4(3)^1/2, 15/2) Find dy/dx at P.

First I would find the value of t at Point P - I would equate the x equation to 4(3)^1/2 and the y equation to 15/2. This would give me (Px,Py). After this I would then find dy/dt, and dx/dx by differenti...

AB
Answered by Arjun B. Maths tutor
3834 Views

Evaluate the integral ∫(sin3x)(cos3x)dx (C4 Integration)

First, we must recognise that the integral is written as a product of two functions which cannot be directly integrated, therefore a trigonometric identity must be used to express this a single function. ...

LB
Answered by Leon B. Maths tutor
12224 Views

solve dy/dx = y(sec x)^2

Firstly, this differential equation should be solved using the separation of variables method, where all y terms are moved the left hand side of the equation and all x terms are moved to the right hand si...

MD
Answered by Max D. Maths tutor
6436 Views

The function f is defined as f(x) = e^(x-4). Find the inverse of f and state its domain.

Firstly, we let y=f(x) so that y=ex-4. The aim of this question is to find the inverse of y=f(x), and in order to do that, we must rearrange the question so that x becomes the subject of the eq...

RK
Answered by Rutwik K. Maths tutor
9304 Views

what does 'differentiation' mean?

Differentiation at A level is a method of working out the gradient of curves that aren't straight lines. If you have a function that is non-linear, which means any function that isn't in...

JM
Answered by Jessica M. Maths tutor
2948 Views

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