Search our library of A Level questions

Top answers

All subjects

A Level

integrate cos^2(x)*sin(x)

integral of cos²(x)*sin(x) we notice that we can use the spot the ball method here: Guessed integral: cos³(x) Differentiated Guessed Integral: -3sin(x)cos²(x), therefore o...

Answered by Cezar P. • Maths tutor

8127 Views

Describe the process of an action potential travelling across a synapse

An action potenial reaches the synaptic bouton causing depolarisation which opens calcium voltage gated channels. Calcium moves into the cell and causes the movement of vesicles containing acetylcholine t...

Answered by Ed W. • Biology tutor

3327 Views

In a particle accelerator, you accelerate an electron. Afterwards, you measure it's energy to be 350 keV. Tell my why you can't find the speed from this energy using your knowledge of classical mechanics.

In order to see what the problem is, I will attempt to find this speed. 350keV=5.6110^-14 J E_k=1/2 * mv² => v=sqrt(2E_k/m) By plugging in numbers, we...

Answered by Cezar P. • Physics tutor

2284 Views

Find the integrating factor of the following first order ODE: dx/dt = -2tx +t.

Firstly rearrange the differential equation to fit the form dx/dt +P(t)x = Q(t). The integrating factor is then found by using the formula:

u = EXP(INTG(P(t))). We know that P(t) = 2t and so by int...

Answered by Adam T. • Further Mathematics tutor

7912 Views

Using your knowledge of complex numbers, such as De Moivre's and Euler's formulae, verify the trigonometric identities for the double angle.

de Moivre's: (cos(x)+isin(x))ⁿ=cos(nx)+isin(nx) set n=2 (cos(x)+isin(x))²=cos²(x)+2isin(x)cos(x)-sin²(x), which, according to de Moivre's cos²(x)+2is...

Answered by Cezar P. • Further Mathematics tutor

4126 Views