3 years ago

Multiply: (x + 3)(x – 4)

Mathematics

1 answer:

STatiana [176]3 years ago

4 0

Answer:

answers b is is correct ......

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Find the function of which is the solution of 36y"-48y'-48y=0 with initial conditions y1(0)=1. y1'(0)=0

lilavasa [31]

Answer:

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

Step-by-step explanation:

Let, $D=\frac{d}{dx}$

Now, us simplify the given differential equation and write it in terms of D,

$36y''-48y'-48y=0$

or, $3y''-4y'-4y=0$

or, $(3D^2-4D-4)y=0$

We have our auxiliary equation:

$3D^2-4D-4=0$

or, $(3D+2)(D-2)=0$

or, $D=2, - \frac{2}{3}$

Therefore our solution is,

$y=Ae^{2x}+Be^{- \frac{2}{3}x}$

and, $y'=2Ae^{2x}-\frac{2}{3}Be^{\frac{2}{3}x }$

Applying the boundary conditions, we get,

$A+B=1$

$2A-\frac{2}{3}B=0$

Solving them gives us,

$A=\frac{1}{4} ,B=\frac{3}{4}$

Hence,

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

4 0

3 years ago

True or false. <br> -5+ ( -3 +( -8) = -5 + ( - 3 + 8 )

ivanzaharov [21]

False:

-5 + -3 + (-8) = -16

-5 + -3 + 8 = 0

hope this helps

8 0

4 years ago

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What is 2x8x9x8x7x6x5x4x3

iren2701 [21]

Answer:

$2903040$

Step-by-step explanation:

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3 years ago

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1/3 divided by 8??????????

Serga [27]

Answer: 1/24

Step-by-step explanation: if you take 8 and change it to 1/8, you can multiply it by 1/3 and 1x1 is 1 and 8x3 is 24 so it’s 1 over 24 or 1/24

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3 years ago

8/5÷3=______<br>Answer in a fraction form <br><br>PLZ HELP ME

faltersainse [42]

8/5 divided by 3 in fraction form is 8/15

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3 years ago

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