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4 years ago

Free points (brainliest if you get it right)Materials engineering is only about choosing a design material that fits a product.

2 answers:

7 0

false - material engineering is much more than choosing a material. it studies different materials under different conditions. the knowledge can be used in choosing material for products but also other fields such as failure analysis, reliability studies, and advanced researches.

bazaltina [42]4 years ago

6 0

I think it’s false .

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2. Find the solution of each differential equation. (a) y/2y-8y = 0 (b) 25y/- 20y + 4y = 0 (c) y + 2y + 2y = 0 2. Find the solut

jek_recluse [69]

Each of these ODEs is linear and homogeneous with constant coefficients, so we only need to find the roots to their respective characteristic equations.

(a) The characteristic equation for

$y'' - 2y' - 8y = 0$

$r^2 - 2r - 8 = (r - 4) (r + 2) = 0$

which arises from the ansatz $y = e^{rx}$ .

The characteristic roots are $r=4$ and $r=-2$ . Then the general solution is

$\boxed{y = C_1 e^{4x} + C_2 e^{-2x}}$

where $C_1,C_2$ are arbitrary constants.

(b) The characteristic equation here is

$25r^2 - 20r + 4 = (5r - 2)^2 = 0$

with a root at $r=\frac25$ of multiplicity 2. Then the general solution is

$\boxed{y = C_1 e^{2/5\,x} + C_2 x e^{2/5\,x}}$

$r^2 + 2r + 2 = (r + 1)^2 + 1 = 0$

with roots at $r = -1 \pm i$ , where $i=\sqrt{-1}$ . Then the general solution is

$y = C_1 e^{(-1+i)x} + C_2 e^{(-1-i)x}$

Recall Euler's identity,

$e^{ix} = \cos(x) + i \sin(x)$

Then we can rewrite the solution as

$y = C_1 e^{-x} (\cos(x) + i \sin(x)) + C_2 e^{-x} (\cos(x) - i \sin(x))$

or even more simply as

$\boxed{y = C_1 e^{-x} \cos(x) + C_2 e^{-x} \sin(x)}$

3 0

2 years ago

Why were most slaves in the atlantic system taken from west and central africa

marta [7]

Answer:

West Central Africa 

The majority of all people enslaved in the New World came from West Central Africa. Before 1519, all Africans carried into the Atlantic disembarked at Old World ports, mainly Europe and the offshore Atlantic islands.

3 0

3 years ago

Read 2 more answers

Alin sa sumusunod ang pangunahing pinagbabatayan ng mga prodyuser sa paggawa ng mga

zavuch27 [327]

Answer:

Ambitious Ambitious Ambitious Ambitious