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3 years ago

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A bicyclist is riding on a path modeled by the function f(x) = 0.03(8x − x2), where x and f(x) are measured in miles (see figure

). Find the rate of change of elevation at x = 2.

1 answer:

scoundrel [369]3 years ago

6 0

Idk the answer to that one

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Use Euler’s method to estimate the value of y(20). Use a step size of ∆x = 5. Please fill out the remainder of the chart complet

crimeas [40]

Answer:

y(20)=14,322

Step-by-step explanation:

We need to solve the equation:

$dy/dx=0.4xy$

with initial point

$y(0) = 2$

with incerments

$\Delta x=h=5$

By Euler's method, we have:

$y(x+h)=y(x)+h*f'(x,y)$

We start with the initial point

$y(5)=y(0)+5*f'(0,2)=2+5*(0.4*0*2)=2$

And we continue until we reach the value for y(20)

$y(10)=y(5)+5*f'(5,2)=2+5*(0.4*5*2)=2+20=22\\\\\\y(15)=y(10)+5*f'(10,22)=22+5*(0.4*10*22)=22+440=462\\\\\\y(20)=y(15)+5*f'(15,462)=462+5*(0.4*15*462)=462+13,860\\\\y(20)=14,322$

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Step-by-step explanation:

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F x G (x)

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