3 years ago

A couch that regularly sells for $450 was discounted by 30% off.

Mathematics

1 answer:

vaieri [72.5K]3 years ago

8 0

Answer:

The price after the discount would be $315.

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Use Euler's method to obtain a four-decimal approximation of the indicated value. First use h = 0.1 and then use h = 0.05.

Juliette [100K]

Answer:

see below for the tables

Step-by-step explanation:

The differential equation is separable, so the solution is ...

$\displaystyle\dfrac{dy}{dx}=2xy\\\\\int{\dfrac{dy}{y}}=\int{2x}\,dx\\\\\ln{y}=x^2+C\\\\\text{Considering the initial condition, $C=-1$}\\\\\boxed{y=e^{x^2-1}}$

The values for yn are y+y'·h = y+2xyh. We take the "absolute error" to be the (signed) difference between the calculated yn and the actual value y(x).