Given the preconditions for x and y as |x – y| ≤ 200, |2x + y - 150| ≤ 250, show the post-conditions for z = 3x2 + y2 + 3xy – 7x – 8y + 10. Please solve this problem mathematically and draw a 2D graph to show the covered domain for x and y. plot in octave

Given a Triangle of three vertices A(2,3), B(4,2), C(3,0), Apply the shearing to the Triangle with SH=4

In each part, either draw a graph with the given specifications or explain why no such graph exists.  A graph with 4 vertices that has a Euler circuit but no Hamiltonian circuits.

4. (1) Draw a transition graph for the dfa M={Q,E,8,q,,F ), where Q={q,,91»92 }; E = {a,b},F = {qo,92} and ở is definded as S(90,a) = q,,8(q,b) =q,,5(q,,a)=q0,8(q,,b) =q2,8(q2,a) =q2,8(q2,b) =q2 (2) Give the language accepted by the above dfa.

Question 1 Refer to the following network flow and state the min cut, of the graph G. S 3/7 6/6 -5/5 (s,v1),(s,v3),(s,v2) 1/1 (v1,v4), (v1,v3),(s,v3),(s,v2) O (v4,t).(v3,t).(v5,t) O (s,v2),(v2,v3),(v2,v5) 0/3 -2/2- 4/5 -2/3 6/6 6/8

C. The base function f(x) is reflected in the x-axis, stretched elly by a and translated 3 units to the left and 1 unit down Witte the equation of the function g(x) (4 marks). Given the graph of f(x), graph each of the following clearly labeling each graph: (2 marks each) a. f(-x) f-¹(x) ter of 2. fored b.

need correct answer 4 this practice question  please

Use the Matlab function spline to build the cubic spline S3(x) that satisfies the not-a-knot conditions and interpolates the function f(x)=sin(x) in n = 9 linearly spaced nodes in the interval [0, 1] The maximum absolute interpolation error in 180 linearly spaced points in the interval of interpolation is approximately: 4.6539e14 5.2765e-06 1.0727e-01 1.7423e09 4.3333e - 02

Problem 2. The two problems below can be solved using graph coloring. For each problem, represent the situation with a graph, say whether you should be coloring vertices or edges and why, and use the coloring to solve the problem. a. Your Quidditch league has 5 teams. You will play a tournament next week in which every team will play every other team once. Each team can play at most one match each day, but there is plenty of time in the day for multiple matches. What is the fewest number of days over which the tournament can take place? b. Ten members of Math Club are driving to a math conference in a neighboring state. However, some of these students have dated in the past, and things are still a little awkward. Each student lists which other students they refuse to share a car with; these conflicts are recorded in the table below. What is the fewest number of cars the club needs to make the trip? Do not worry about running out of seats, just avoid the conflicts. Student: A B C D E F…