Derive this relation in deiail,
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- Determine the surm of all possible values of s. 9. Celine traces paths on the grid below starting at point X and ending at point Y. Each path must follow the lines connecting the dots and only ever move horizontally to the right or vertically down. It may be useful to know that there are a total of 924 such paths. Consider the 7 points labelled A, B, C, D, E, F, and G. List these points in decreasing order of the number of paths passing through that point. For example,B is on exactly one path, so B should be the last point in your list.For the inner product (øl4) the left side o always be the conjugate value True FalseProve the following equation Pw(x,t)= py(x,t) with p=2 ww in (2x-1) Knowing that y (x,t)= 3e^
- (a) Prove the "vertical angle hypothesis" (I. 15): opposing angles are congruent if two lines cut each other. (Hint: You'll need to use postulate 4 about right angles in this case.) ) (b) Complete the proof of the Exterior Angle Theorem using section (a): illustrate why beta < alphaExample of numerical instability: Take y′ = −5y, y(0) = 1. We know that the solution should decay to zero as x grows. Using Euler’s method, start with h= 1 and compute y1, y2, y3, y4 to try to approximate y(4). What happened? Now halve the interval. Keep halving the interval and approximating y(4) until the numbers you are getting start to stabilize (that is, until they start going towards zero).The results of 5.11 are added, need help setting up and solving.