F(t, u) consider the following numerical method to solve u' = 1 un+1 = u" += (f\ + f2) , 2 where k is the time step, and fi f(t",u"), f2 = f(t" k, u" +kf\), (a) what is the order of local truncation error for the method? (b) what is the absolute stability region of this method? does it include the entire negative real axis? (c) take f(t, u) compute the solution up to the final time t = 1. verify the conclusion in (a) by your numerical results = -u +t with u(0) = 1.

it is true

step-by-step explanation:

all the combinations add up i used   calculator

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

the number 100 represents the number of trials in the experiment.

49/100 represents the experimental probability of the coin landing heads up.

step-by-step explanation: