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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) when t = pi/3, dy/dx= -sqrt(3) b) dy/dx = ...
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Answered by Max B. • Maths tutor
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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
MS
Answered by Matthew S. • Maths tutor
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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 way to reme...
LK
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Explain why the first ionisation energy of sulfur is different from that of phosphorus.

The first ionisation energy is defined as, the amount of energy required to remove 1 mole of electrons from 1 mole of gaseous atoms to produce 1 mole of gaseous ions , with a single positive charge. (By dete...
LM
Answered by Lydia M. • Chemistry tutor
89234 Views

What would be the best way to structure my introduction?

The introduction is a vital part of your writing, particularly considering it is the first impression the examiner will get of your essay. Firstly, it is important to state what you will be arguing for/discu...
AA
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