For the following 4 curves find all points, all possible orders, and an example of each order a. p=19,a=1,b=5 b. p=19,a=1,b=14 C. p=19,a=2,b=10 d. p=19,a=2,b=18 y²=x²+x+5 (mod 19) y²=x²+x+14 (mod 19) y²=x²+2x+10 (mod 19) y²=x³+2x+18 (mod 19) : : : :

In how many ways can a photographer arrange 8 people in a row from a family of 12 people, if (a) Mom and Dad are in the photo, (b) Mom and Dad are next to each other in the center of the photo (three people on each side of them).

Q4 Write down the TDOA equations to solve for the mobile position if BTS coordinates are known to be (x1,y1), (x2,y2), and (x3,y3)

The shape of a limacon can be defined parametrically as                                    r = r0 + cos θ,                                    x = r cos θ,                                    y = r sin θ. When r0 = 1, this curve is called a cardioid. Use this definition to plot the shape of a limacon for r0 = 0.8, r0 = 1.0, and r0 = 1.2. Be sure to use enough points that the curve is closed and appears smooth (except for the cusp in the cardioid). Use a legend to identify which curve is which.  use phyton language  import mathimport numpy as npimport matplotlib.pyplot as plt%matplotlib inline