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3 years ago

7

For each function, what is the output of the given input? for f(x) = 4x 7, find f(4)

1 answer:

shusha [124]3 years ago

6 0

I hope this helps you

x =4

f (4)= 4.4+7 = 16+7=23

f (4)= 4.4-7=16-7=9

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Find a particular solution to y" - y' + 9y = 3 sin 3x

Dima020 [189]

Answer:

cos3x

Step-by-step explanation:

y" - y' + 9y = 3 sin 3x

$D^{2}y-Dy+9y=3 sin3x$

$y=\frac{3 sin 3x}{(D^{2} -D+9}=3 sin 3x$

here $D^2$ will be replaced by $\alpha^2$ where $\alpha$ is coefficient of x

$y=\frac{3 sin 3x}{-3^{2} -D+9}$

$y=-3\frac{sin 3x}{D}$

$y=-3\int\ {sin 3x} \, dx$

$y=-3\frac{cos3x}{-3}$

y=cos3x

hence Particular solution is cos3x

6 0

3 years ago

Can anu one help me out

sdas [7]

Answer:

$\frac{1}{10}$ units²

Step-by-step explanation:

Multiply the base by the length of the shape and reduce if needed.

$\frac{3}{20}$ · $\frac{2}{3}$ = $\frac{6}{60}$ = $\frac{1}{10}$

7 0

3 years ago

Read 2 more answers

If you could show as much work as possible that would be amazing!!

Nikitich [7]

Answers:

<u>Reduce:</u>

Here we gave to simplify the expressions:

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Grouping similar terms:

$(x^{2}+\frac{12}{x^{2}})+(18x+28)$

Applying common factor $x^{2}$ in the first parenthesis and common factor $2$ in the second parenthesis:

$x^{2}(1+\frac{12}{x^{4}})+2(9x+14)$ This is the answer

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Rearranging the terms:

$(y^{3}+2y)+(\frac{27}{y^{2}}-3)$

Applying common factor $y$ in the first parenthesis and common factor $3$ in the second parenthesis:

$y(y^{2}+2)+3(\frac{9}{y^{2}}-1)$ This is the answer

<u>Multiply:</u>

19) $(\frac{12a^{9}u^{7}}{15 c})(\frac{3c^{4}}{21a^{13 u^{8}}})$

Multiplying both fractions:

$\frac{36 a^{9}u^{7}c^{4}}{315 c a^{13}u^{8}}$

Dividing numerator and denominator by 3 and simplifying:

$\frac{12 c^{3}}{105 c a^{4}u}$ This is the answer

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$(\frac{x^{2}-3-7x}{x})(\frac{x^{4}-9x^{3}+35-18x^{2}}{x^{2}})$

Operating with cross product:

$x^{2} (x^{2}-3-7x) x(x^{4}-9x^{3}+35-18x^{2})$

$x^{9} -9x^{8} -18x^{7}+35x^{5}-7x^{8} +63x^{7}+126x^{6}-245x^{4}-3x^{7}+27x^{6}+54x^{5}-105x^{3}$

Grouping similar terms and factoring:

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<u>Divide:</u>

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Simplifying:

$\frac{3}{2} k^{2}x^{4}$ This is the answer

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$\frac{(x+5)(x^{2}+3x+2)}{(x+1)(x^{2}+11x+30)}$

Factoring numerator and denominator:

$\frac{(x+5)(x+2)(x+1)}{(x+1)(x+6)(x+5)}$

Simplifying:

$\frac{x+2}{x+6}$ This is the answer

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$\frac{(x-10)(x^{2}+15x+21)}{(x+13)(x^{3}-1000)}$

Applying the distributive property in numerator and denominator:

$\frac{x^{3}+15x^{2}+21x-10x^{2}-150x-210}{(x+13)(x^{4}-1000x+13x^{3}-13000)}$

Grouping similar terms and factoring by common factor:

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$-\frac{(x^{2}-129)(x^{2}-42)}{200x^{2}(x+13)(x-13)}$ This is the answer

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3 years ago

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denpristay [2]

Answer:

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Step-by-step explanation:

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3 years ago

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Alina [70]

The answers to that would be x=-2

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4 years ago