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How do I write an A* grade essay?

The key to writing a successful essay at A-level & GCSE is to always have the Assessment Objectives in your head (it might even help to write them down as part of your plan). It is a common complaint ...

Answered by James T. • English Literature tutor

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A Curve has parametric equation x=2sin(t), y= 1+cos(2t), -pi/2<=t<=pi/2. a) Find dy/dx when t=pi/3. b) Find the Cartesian equation for the curve in form y=f(x), -k<=x<=k. c) Find the range of f(x)

x=2sin(t), y=1+cos(2t)

a) By chain rule, dy/dx = (dy/dt)/(dx/dt)
dy/dt = -2sin(2t), dx/dt= 2cos(t)
dy/dx= -sin(2t)/cos(t)
dy/dx=-2sin(t)cos(t)/cos(t)
dy/dx=-2sin(t)

Answered by Max B. • Maths tutor

10716 Views

Find the first and second derivatives of: y = 6 - 3x -4x^-3, and find the x coordinates of the line's turning points

dy/dx = -3 +12x^-4 d^2y/dx^2 = -48x^-5

Answered by Matthew S. • Maths tutor

3597 Views

Discuss the causes and associated health problems of atherosclerosis

Causes- Too much cholesterol in the blood. This can be as a result of high LDL and low HDL levels in the blood. or as it is more known as a high LDL:HDL ratio.

LDL are not very good for you and a ...

Answered by Loubna K. • Human Biology tutor

3321 Views

What is £23 increased by 4%?

There are two steps to solving this problem. First, we want to find out how much the increase itself is, so we want to calculate 4% of £23. Then, we want to add the result to the £23. That will give us th...

Answered by Giulia B. • Maths tutor

4670 Views