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2 years ago

Given:f(x)=3x-5,find f(x+2)

Mathematics

1 answer:

Galina-37 [17]2 years ago

5 0

ans=3x+1

Step by step solution

=3(x+2)-5

=3x+6-5

=3x+1

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Solve the initial-value problem<br><br> y' = x^4 - \frac{1}{x}y, y(1) = 1.

natta225 [31]

The ODE is linear:

$y'=x^4-\dfrac yx$

$y'+\dfrac yx=x^4$

Multiplying both sides by $x$ gives

$xy'+y=x^5$

Notice that the left side can be condensed as the derivative of a product:

$(xy)'=x^5$

Integrating both sides with respect to $x$ yields

$xy=\dfrac{x^6}6+C$

$\implies y(x)=\dfrac{x^5}6+\dfrac Cx$

Since $y(1)=1$ ,

$1=\dfrac16+C\implies C=\dfrac56$

so that

$\boxed{y(x)=\dfrac{x^5}6+\dfrac5{6x}}$

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3 years ago

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Andrew [12]

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Step-by-step explanation:

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3 years ago

If y varies directly as x^2, and y=2 when x=1, find y when x=10

Nikitich [7]

Answer:

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Step-by-step explanation:

Please refer to the attachment(s) for explanations

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3 years ago

Read 2 more answers

What is the length of the hyptonenuse of the right triangle? the other sides are:<br>36 ft<br>15 f

andreev551 [17]

Answer:

Step-by-step explanation:

We can use the Pythagorean theorem

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

15^2 + 36^2 = c^2

225+1296 = c^2

1521 = c^2

Take the square root of each side

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3 years ago

PLEASE HELP ME ! IMAGE IS BELOW IF YOU GET IT RIGHT I'LL MARK BRAINLIEST

jarptica [38.1K]

Answer:

x = 17

y = 8

QPR = 35º

QRP = 60º

Step-by-step explanation:

2x + 1 = x + 18

Subtract x from both sides

x + 1 = 18

Subtract 1 from both sides

x = 17

QPR = 2x + 1

QPR = 2(17) + 1

QPR = 35º

-------------------------------

8y - 4 = 4y + 28

Subtract 4y from both sides

4y - 4 = 28

Add 4 to both sides

4y = 32

Divide both sides by 4

y = 8

QPR = 8y - 4

QRP = 8(8) - 4

QRP = 60º

7 0

3 years ago