(a) Use Euler's method with step size 0.2 to estimate y(1.4), where y(x) is the solution of the initial-value problem y' = 4x − 4xy, y(1) = 0. (Round your answer to four decimal places.) y(1.4) =

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Step-by-step explanation:

The Euler's method states that , where .

To find for when , with step size using the Euler's method you must:

We have that , , , .

Step 1.

Step 2.

The answer is

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."

113.42

i hope that is right.

step-by-step explanation: