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Solve the simultaneous equations for x and y: 2x+4y=-12 and y=-x-2

From the question we have y = -x - 2 so we can sub in -x-2 everywhere there is a y in the first equation. The equation is then 2x+4(-x-2) = -12 expanding the brackets we get -2x-8=-12 which you can then rear...
DG
Answered by Daniel G. • Maths tutor
4397 Views

Integrate 2sin(theta)cos(2*theta)

cos(theta)-(4/3)cos 3 (theta)
CB
Answered by Chloe B. • Maths tutor
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The curve C has the parametric equations x=4t+3 and y+ 4t +8 +5/(2t). Find the value of dy/dx at the point on curve C where t=2.

a) What can we find from what we have been given? dx/dt and dy/dt How can we relate these values to dy/dx? In the context of equations that only contain two variables, their derivatives behave like fractions...
CB
Answered by Chloe B. • Maths tutor
10572 Views

Starting from the fact that acceleration is the differential of velocity (dv/dt = a) derive the SUVAT equations.

Intergrating with respect to time, you get that v = u + at. Knowing that velocity is just the rate of change of your position ds/dt = v, and sustituting the previous expression for v, you get ds/dt = u + at....
BW
Answered by Ben W. • Maths tutor
6776 Views

How do I go about adding, subtracting, multiplying and dividing fractions?

The key thing to remember with fractions, is that adding and subtracting them require a COMMON DENOMINATOR. We achieve this by multiplying both the top and bottom of fractions by a number that allows us to a...
SR
Answered by Sam R. • Maths tutor
4524 Views