3.1 Assume in the figure below that one charge of -1 nC is at position á-0.1,0,0ñm and a +1 nC charge is at position á0.1,0,0ñm. Sketch the electric field at points A, B, C, D, and E in the figure below. Make sure that the sizes of the vectors are proportional to the magnitude of the electric field at each point.

You are designing an RPG (role-playing game) for a gaming console and have decided to use an open world design, where players can explore the terrain freely, encountering enemies by chance. 8. Your design team has coded this in-game world to exist on the circle x² + y? < 900 Page 3 on the xy-plane. At any point (x, y) in this world you've also associated a danger function d(x, y) that measures how likely it is to encounter an enemy at that point. Thus high values of d(x,y) correspond to dangerous points, while low values of d(x, y) correspond to safe points. If d(x, y) = e¬a²y, find the safest point(s) and most dangerous point(s) in-game.

Calculate with residual theorem application dx Jo (x²+1)(x²+4)²

1 1 = √ ₁ (1 + x) using Trapezoidal rule, 0 Evaluate 0 correct to three decimal using h=0.25, compare the obtained result with true value. [Given in (2)=0.6932] dx