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Expand (2x+3)^4

We will you use Pascal's triangle in order to find coefficients: 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 so, our coefficients will be 1,4,6,4,1 now, let's expand: (2x+3)⁴

Answered by Cezar P. • Further Mathematics tutor

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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

2347 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

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What is the difference between DFS and BFS? Where can I apply each?

DFS, or Depth First Search traverses a graph - which is any set of interconnected nodes 'depth first'. It tries to go all the way to the end, and if it fails returns back to the last intersection that it ...

Answered by Tutor86199 D. • Python tutor

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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

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