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AQA PC4 2015 Q5 // A) Find the gradient at P. B) Find the equation of the normal to the curve at P C)The normal P intersects at the curve again at the point Q(cos2q, sin q) Hence find the x-coordinate of Q.

A) We need to find dy/dx. We know that dy/dx =(dy/dt)/(dx/dt). Differentiating each parametric equation we get: dx/dt= -2sin(2t) {using the chain rule and knowing that cos differentiates to -sin.} dy/dt= cos...
TD
Answered by Tutor68191 D. • Maths tutor
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Find the gradient of the line with equation 2x + 5y = 7

-2/5
AM
Answered by Alison M. • Maths tutor
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Given the intensity of A-Level studies, what is the best way one can go about ensuring all tasks are completed in time?

The best way to solve any complex problem is to start off by formulating a general overview of the problem. This is useful as it allows you to see the overall 'big' picture and allows you to really comprehen...
BZ
Answered by Bahir Z. • Maths tutor
3664 Views

Integrate ((x^3)*lnx)dx

Using integration by parts, answer = 1/4x 4 lnx - 1/16x 4 + C
IS
Answered by Imogen S. • Maths tutor
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If f(x) = x^2 - 3x + 2, find f'(x) and f''(x)

f'(x) is the first derivative of f(x) therefore f'(x) = 2x - 3 To find f''(x) simply take the derivative of f'(x), therefore f''(x) = 2
PO
Answered by Peter O. • Maths tutor
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