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hjlf
2 years ago
11

Simplify 2ab/3cd×c²d²/ab²​

Mathematics
1 answer:
gulaghasi [49]2 years ago
8 0

\frac{2ab}{3cd}  \times  \frac{c²d²}{ab²}

=  \frac{2cd}{3b}

= (\frac{2}{3} ) \frac{cd}{b}

= 0.66 \frac{cd}{b}

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What Makes This Number Unique? 8,549,176,320
Serggg [28]

Answer:

When spelt out the digits are in alphabetical order

eight

five

four

nine

one

seven

six

three

two

zero

Step-by-step explanation:

7 0
3 years ago
Find a particular solution to the nonhomogeneous differential equation y??+4y?+5y=?10x+e^(?x).
Firdavs [7]

Answer:

A) Particular solution:

2x+\frac{1}{2}e^{-x}-\frac{8}{5}

B) Homogeneous solution:

y_{h}=e^{-2x}(c_{1}cos(x)+c_{2}sin(x))

C) The most general solution is

y=e^{-2x}(c_{1}cos(x)+c_{2}sin(x))+2x+\frac{1}{2}e^{-x}-\frac{8}{5}

Step-by-step explanation:

Given non homogeneous ODE is

y''+4y'+5y=10x+e^{-x}---(1)

To find homogeneous solution:

D^{2}+4D+5=0\\D^{2}+4D+4-4+5=0\\\\(D+2)^{2}=-1\\D+2=\pm iD=-2 \pm i\\y_{h}=e^{-2x}(c_{1}cos(x)+c_{2}sin(x))---(2)

To find particular solution:

y_{p}=Ax+B+Ce^{-x}\\\\y'_{p}=A-Ce^{-x}\\y''_{p}=Ce^{-x}\\

Substituting y_{p},y'_{p},y''_{p} in (1)

y''_{p}+4y'_{p}+5y_{p}=10x+e^{-x}\\Ce^{-x}+4(A-Ce^{-x})+5(Ax+B+Ce^{-x})=10x+e^{-x}\\

Equating the coefficients

5Ax+2Ce^{-x}+4A+5B=10x+e^{-x}\\5A=10\\A=2\\4A+5B=0\\B=-\frac{4A}{5}B=-\frac{8}{5}2C=1\\C=\frac{1}{2}\\So,\\y_{p}=2x+\frac{1}{2}e^{-x}-\frac{8}{5}---(3)\\

The general solution is

y=y_{h}+y_{p}

from (2) ad (3)

y=e^{-2x}(c_{1}cos(x)+c_{2}sin(x))+2x+\frac{1}{2}e^{-x}-\frac{8}{5}

6 0
3 years ago
Can someone please help me with algebra 2
Elenna [48]
Simplify g(x) into 3(x^2+4+3) then move the x's to one side solve it as a two-step equation.
8 0
3 years ago
Simplify 3+[5-2(4+1)]
zavuch27 [327]

Answer: 18

Proof:

Step 1: Add what's in the parentheses - (4+1) = 5

Step 2: Subtract 5 - 2 and multiply that by the sum of the parentheses - 5-2 = 3(5) = 15

Step 3: Add 3 - 15 + 3 = 18



6 0
3 years ago
Read 2 more answers
Is this a function or not
mina [271]

Answer:

I believe it is

Step-by-step explanation:

None of the x and y values have the same number

8 0
3 years ago
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