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Darina [25.2K]
3 years ago
15

Please help simplify it.

Mathematics
1 answer:
kipiarov [429]3 years ago
6 0

Answer:

-\frac{39}{4}a + \frac{52}{5}

Step-by-step explanation:

-\frac{60}{6}a + \frac{84}{8} + \frac{1}{4}a - \frac{1}{10}

= -\frac{120}{12}a + \frac{3}{12}a + \frac{420}{40} - \frac{4}{40}

= -\frac{117}{12}a + \frac{416}{40}

= -\frac{39}{4}a + \frac{52}{5}

I hope this helps!! ^-^

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Solve the Method of variation of Parameters. y" - 3y' + 2y = 4e^3t
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Answer:

CF+PI=c_1e^{2x}+c_2e^{x}+2e^{3t}

Step-by-step explanation:

we have given y"-3y'=2y=4e^{3t}

this differential equation solution have two part that CF and PI

CALCULATION OF CF :

m^2-3m+2=0

m^2-2m-m+2=0

(m-1)(m-2)=0

m=1 and m=2

so CF=c_1e^{2x}+c_2e^{x}

CALCULATION OF PI :

PI =   \frac{4e^{3t}}{(m-1)(m-2)}

at m= 3 in PI

PI=\frac{4e^{3t}}{2}=2e^{3t}

so the complete solution is

CF+PI=c_1e^{2x}+c_2e^{x}+2e^{3t}

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A stem and leaf plot titled High Temperatures in degrees Fahrenheit. The stems are 4, 5, 6, 7. The first column of leaves are 9,
ad-work [718]

Answer:

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Step-by-step explanation:

Given

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Required

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\begin{array}{cc}{4} & {9\ \ } & {5} & {2\ 4\ 4\ 6\ 8} & {6} & {0\ 1\ } & {7} & {2\ 3\ }  \ \end{array}

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