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If given two parametric equations for a curve, how would you work out an equation for the gradient?

Parametric equations will have both the x and the y coordinates expressed in terms of another paramater, usually t . Gradients of curves are expressed in the form of an equation of d y/ d x, in order to work...
MW
Answered by Mollie W. • Maths tutor
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Show that Sec2A - Tan2A = (CosA-SinA)/(CosA+SinA)

Sec2A - Tan2A Definition of Sec and Tan = 1/Cos2A - Sin2A/Cos2A Combining Fractions = (1 - Sin2A) / (Cos2A) Apply Double Angle Formula = (1 - 2SinACosA) / (Cos 2 A - Sin 2 A) Make use of 1 = Cos 2 x + Sin 2 ...
JC
Answered by James C. • Maths tutor
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using an integrating factor, find the general solution of the differential equation dy/dx +y(tanx)=tan^3(x)sec(x)

This is a first order differential equation, but initially it is not solvable as both the X&Y's can't be separated from eachother directly. An integrating factor is a specific value that when multiplied ...
TR
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solve the quadratic equation: x^2-4x+3=0

This equation is asking us to find the value(s) of x that when substituted in place of x in the equation x 2 -4x+3 the computed value should equal 0. There three potential methods of solving this equation, t...
TR
Answered by Taylor R. • Maths tutor
10387 Views

What are the main differences between prokaryotic and eukaryotic cells?

I would say the main difference here is that eukaryotic cells (e.g. animal cells) have a nucleus and membrane-bound organelles, whereas prokaryotic cells (bacteria and archaea) have no nucleus and no membran...
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Answered by Sophie P. • Biology tutor
15691 Views