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kari74 [83]
3 years ago
10

Find constants a and b such that the function y = a sin(x) + b cos(x) satisfies the differential equation y'' + y' − 8y = sin(x)

.

Mathematics
1 answer:
zavuch27 [327]3 years ago
5 0
Consider, please, the suggested full solution. Modify the design according to local requirements.

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Answer qn in attachment​
leva [86]

Answer:

\implies \dfrac{ -4x+7}{2(x-2) }

Step-by-step explanation:

The given expression to us is ,

\implies \dfrac{\frac{ 3}{x-1} -4 }{ 2 -\frac{2}{x-1}}

Now take the LCM as ( x - 1 ) and Simplify , we have ,

\implies \dfrac{\frac{ 3 -4(x-1) }{x-1} }{ \frac{2-2(2x-1)}{x-1}}

Simplifying further , we get ,

\implies \dfrac{ -4x+7}{2(x-2) }

Hence the second option is correct .

4 0
3 years ago
(35 points) answer 5 and 7 only please
tatyana61 [14]
A2+b2=c2 and get your answer

3 0
3 years ago
PLEASE ANSWER, I WILL MARK BRAINLYEST. IF YOU PUT AN ABSURD ANSWER I WILL REPORT. 50+ POINTS
puteri [66]

Answer:

The umbrella will fit in, but there will be a lot of extra room.

Step-by-step explanation:

Remember the Pythagorean theorem:

x^(2) + y^(2) = n^(2)

where "x" and "y" are the legs of the right triangle and "n" is the hypotenuse

In this problem it is given that the sides (legs) are:

38in, and 24in

and diagonally across is 29in

so the hypotenuse is 29in

therefore we can form the equation:

38^(2) + 24^(2) = 29^(2)

without solving it is clear that

38^(2) + 24^(2) > 29^(2)

because 38 is a leg, but it is greater than 29, which means that 38 - 24 - 29 is not a Pythagorean triple,

but because 38 > 29, then the 29 in umbrella will fit into the suitcase, but it will not be a snug fit, there will be a lot of extra room

8 0
3 years ago
Read 2 more answers
Someone please help me quickly i will give brainlyist
scZoUnD [109]

(16,5) it should be

16 input

5 output

if you went to 5 ont he y-axis and keep going till it hits the line the x seems to be 16.

im deeply sorry if this is wrong.

4 0
3 years ago
F(x) = x²+1<br> What is f(f(x))?
Arte-miy333 [17]

Answer:

f(f(x)) = x⁴ + 2x² + 2

Step-by-step explanation:

if f(x) = x² + 1, then f(f(x)) is equal to:

f(x)² + 1

= (x² + 1)² + 1

= x⁴ + 2x² + 1 + 1

= x⁴ + 2x² + 2

7 0
3 years ago
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