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.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

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step-by-step explanation:

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value