Chapter 1.1, Problem 16ES

T1 T₂ T7 T11 (15) (18) 8 (12) (60) 5 T3 T6 12° 5 5 5 T8 T10 T4 (25) T5 To 1. List all the maximal paths and their weights for the graph above. 2. Give the decreasing-time priority list. 3. Schedule the project using 2 processors and the decreasing-time priority list.

Horizontal cross-sections of the vector fields F⃗ (x,y,z) and G⃗ (x,y,z) are given in the figure. Each vector field has zero z-component (i.e., all of its vectors are horizontal) and is independent of z (i.e., is the same in every horizontal plane). You may assume that the graphs of these vector fields use the same scale. (a) Are div(F⃗ ) and div(G⃗ ) positive, negative, or zero at the origin? Be sure you can explain your answer. At the origin, div(F⃗ ) is Choose At the origin, div(G⃗ ) is Choose (b) Are F⃗ and G⃗ curl free (irrotational) or not at the origin? Be sure you can explain your answer. At the origin, F⃗ is Choose At the origin, G⃗ is

I need a counter example for this predicate logic question only do f please thanks

Let M be the capped cylindrical surface which is the union of two surfaces, a cylinder given by x² + y² = 9, 0 ≤ z < 1, and a hemispherical cap defined by x² + y² + (z − 1)² = 9, z ≥ 1. For the vector field F = (x²), : (zx + z²y +2y, z³yx + 4x, z²x² compute M (V × F) · dS in any way you like. ſſ₁(▼ × F) · dS = •

A common way for two people to settle a frivolous dispute is to play a game of rock-paper-scissors. In this game, each person simultaneously displays a hand signal to indicate a rock, a piece of paper, or a pair of scissors. Rock beats scissors, scissors beats paper, and paper beats rock. If both players select the same hand signal, the game results in a tie. Two roommates, roommate A and roommate B, are expecting company and are arguing over who should have to wash the dishes before the company arrives. Roommate A suggests a game of rock-paper-scissors to settle the dispute.      Consider the game of rock-paper-scissors to be an experiment. In the long run, roommate A chooses rock 21% of the time, and roommate B chooses rock 61% of the time; roommate A selects paper 39% of the time, and roommate B selects paper 21% of the time; roommate A chooses scissors 40% of the time, and roommate B chooses scissors 18% of the time. (These choices are made randomly and independently of each…

Horizontal cross-sections of the vector fields F⃗ (x,y,z) and G⃗ (x,y,z) are given in the figure. Each vector field has zero z-component (i.e., all of its vectors are horizontal) and is independent of z (i.e., is the same in every horizontal plane). You may assume that the graphs of these vector fields use the same scale. (a) Are div(F⃗ ) and div(G⃗ ) positive, negative, or zero at the origin? Be sure you can explain your answer. At the origin, div(F⃗ ) is At the origin, div(G⃗ ) is (b) Are F⃗ and G⃗ curl free (irrotational) or not at the origin? Be sure you can explain your answer. At the origin, F⃗ is At the origin, G⃗ is (c) Is there a closed surface around the origin such that F⃗ has nonzero flux through it? Be sure you can explain your answer by finding an example or a counterexample. (d) Is there a closed surface around the origin such that G⃗ has nonzero circulation around it? Be sure you can explain your answer by finding an example or a…

Set theory

A qualifying exam for a graduate school program has a math section and a verbal section. Students receive a score of 1, 2, or 3 on each section. Define X as a student’s score on the math section and Y as a student’s score on the verbal section. Test scores vary according to the following bivariate probability distribution.       y       1 2 3   1 0.22 0.33 0.05 x 2 0.00 0.08 0.20   3 0.07 0.05 0.00   μXX =    , and μYY =       σXX =    , and σYY =       The covariance of X and Y is    . The coefficient of correlation is    . The variables X and Y    independent.   The expected value of X + Y is    , and the variance of X + Y is    .   To be accepted to a particular graduate school program, a student must have a combined score of 4 on the qualifying exam. What is the probability that a randomly selected exam taker qualifies for the program? 0.45   0.47   0.46   0.33     Chebysheff’s Theorem states that the…

4 sinx cos2x+4 cos x sin2x-1=0