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3 years ago

Which tool would you use to measure the mass of a mobile phone

Mathematics

2 answers:

iragen [17]3 years ago

6 0

<span>Since on the Earth, mass = weight, you can use a scale.

hope that helped</span>

SVEN [57.7K]3 years ago

5 0

You could use a weighing scale, but if the mobile is easy to measure, you can use ruler, take the measurements of length width and height, and use formula for volume

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Consider the following differential equation to be solved by undetermined coefficients. y(4) − 2y''' + y'' = ex + 1 Write the gi

kompoz [17]

Answer:

The general solution is

$y= (C_{1}+C_{1}x) e^0x+(C_{3}+C_{4}x) e^x +\frac{1}{2} (e^x(x^2-2x+2)-e^x(2(x-1)+e^x(2))$

+ $\frac{x^2}{2}$

Step-by-step explanation:

Step :1:-

Given differential equation y(4) − 2y''' + y'' = e^x + 1

The differential operator form of the given differential equation

$(D^4 -2D^3+D^2)y = e^x+1$

comparing f(D)y = e^ x+1

The auxiliary equation (A.E) f(m) = 0

$m^4 -2m^3+m^2 = 0$

$m^2(m^2 -2m+1) = 0$

$(m^2 -2m+1) this is the expansion of (a-b)^2$

$m^2 =0 and (m-1)^2 =0$

The roots are m=0,0 and m =1,1

complementary function is $y_{c} = (C_{1}+C_{1}x) e^0x+(C_{3}+C_{4}x) e^x$

<u>Step 2</u>:-

The particular equation is $\frac{1}{f(D)} Q$

P.I = $\frac{1}{D^2(D-1)^2} e^x+1$

P.I = $\frac{1}{D^2(D-1)^2} e^x+\frac{1}{D^2(D-1)^2}e^{0x}$

P.I = $I_{1} +I_{2}$

$\frac{1}{D^2} (\frac{x^2}{2!} )e^x + \frac{1}{D^{2} } e^{0x}$

$\frac{1}{D} means integration$

$\frac{1}{D^2} (\frac{x^2}{2!} )e^x = \frac{1}{2D} \int\limits {x^2e^x} \, dx$

applying in integration u v formula

$\int\limits {uv} \, dx = u\int\limits {v} \, dx - \int\limits ({u^{l}\int\limits{v} \, dx } )\, dx$

$I_{1}$ = $\frac{1}{D^2(D-1)^2} e^x$

$\frac{1}{2D} (e^x(x^2)-e^x(2x)+e^x(2))$

$\frac{1}{2} (e^x(x^2-2x+2)-e^x(2(x-1)+e^x(2))$

$I_{2}$ $= \frac{1}{D^2(D-1)^2}e^{0x}$

$\frac{1}{D} \int\limits {1} \, dx= \frac{1}{D} x$

again integration $\frac{1}{D} x = \frac{x^2}{2!}$

The general solution is $y = y_{C} +y_{P}$

$y= (C_{1}+C_{1}x) e^0x+(C_{3}+C_{4}x) e^x +\frac{1}{2} (e^x(x^2-2x+2)-e^x(2(x-1)+e^x(2))$

+ $\frac{x^2}{2!}$

3 0

3 years ago

Mayra has 3 cats. Luis has twice as many cats as Mayra.

kompoz [17]

1. 3x=y
3+y=z
2. 1/2y=x
7x=z

8 0

2 years ago

83,277 round it up to the nearest thousand

erica [24]

83,000 since 277 is not near another 1,000

5 0

3 years ago

Please help Me I really need the help

Nana76 [90]

Answer:

Step-by-step explanation:

sinice they are similar they have the same angles so 180-118-15=f

so f=47

3 0

4 years ago

Eric purchased three music CDs and a sweatshirt from a band's online store and received a 20% discount. He paid $100 for his pur

emmasim [6.3K]

(3c+s)(100-20)/100=100 multiply both sides by 100

(3c+s)80=10000 divide both sides by 80

3c+s=125 subtract 3c from both sides...

s=125-3c....now let's look at the second situation...

(4c+2s)(100-40)/100=120 multiply both sides by 100

60(4c+2s)=12000 divide both sides by 60

4c+2s=200 divide both sides 2

2c+s=100 subtract 2c from both sides

s=100-2c, and from earlier we saw that s=125-3c, since s=s:

100-2c=125-3c add 3c to both sides

100+c=125 subtract 100 from both sides

c=25, and since s=100-2c

s=50

So cds cost $25.00 and sweatshirts cost $50.00

6 0

3 years ago

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