Top answers

How do you determine the nature of a graphs stationary point? e.g y = 1+2x-x^2

We have our function of y = 1+2x-x 2 The gradient of a stationary (or turning) point is 0, in essence a peak or a trough. In order to determine the gradient, we need to differentiate our function with respec...
JA
Answered by Joseph A. • Maths tutor
12540 Views

How do I integrate 2^x?

Let's first consider the differential of 2 x . We know that this becomes ln(2)*2 x . We can compare this to the integrand and see that this is very close indeed! The only problem is that ln(2) . So now consi...
JH
Answered by Jordan H. • Maths tutor
97604 Views

A particle of mass 0.8 kg moving at 4 m/s rebounds of a wall with coefficient of restitution 0.3. How much Kinetic energy is lost?

Coefficient of Restitution (CoR): Speed of Approach x CoR = Speed of Seperation 4 x 0.3 = 1.2 ms -1 Kinetic Energy (KE) Lost: KE lost = Initial KE - Final KE Initial KE = 1/2mv 2 = 1/2 x 0.8 x 4 2 = 6.4 J Fi...
GM
Answered by George M. • Maths tutor
4240 Views

Solve the pair of simultaneous equations; (1) y + 4x + 1 = 0, (2) y^2 + 5x^2 + 2x = 0 .

Rearrage equation (1) to make y the subject of the formula. This gives y = -4x -1 . Substitute this value of y into equation (2). This gives (-4x -1)^2 +5x^2 +2x = 0 . Expanding out the brackets gives 16x^2 ...
MG
Answered by Melanie G. • Maths tutor
7582 Views

Solve the simultaneous equations: y = x - 2 and y^2 + x^2 = 10

y = x - 2 y 2 + x 2 = 10 Subsitutute the top equation into the second equation: (x-2) 2 + x 2 = 10 Expand out the brackets and simplify: x 2 - 4x + 4 + x 2 = 10 2x 2 - 4x - 6 = 0 x 2 - 2x - 3 = 0 Factorise t...
IR
Answered by Iman R. • Maths tutor
17229 Views