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noname [10]
2 years ago
5

Please show the work, i’ll mark as brainliest

Mathematics
1 answer:
vazorg [7]2 years ago
6 0

Answer:

hope it helps you

mark me as brainliest

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Round 34,527 to the nearest ten-thousand
photoshop1234 [79]

Answer:

If you round it to the nearest ten-thousand, your answer would be 30,000.

6 0
3 years ago
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Suppose that a regression line for some data transformed with logarithms predicts that when x equals 6, log(y) will equal 2.012.
KIM [24]

Answer:

102.8

Step-by-step explanation:

If log₁₀y = 2.012, y = 10^2.012 = 102.8

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3 years ago
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5. Find the general solution to y'''-y''+4y'-4y = 0
CaHeK987 [17]

For any equation,

a_ny^(n)+\dots+a_1y'+a_0y=0

assume solution of a form, e^{yt}

Which leads to,

(e^{yt})'''-(e^{yt})''+4(e^{yt})'-4e^{yt}=0

Simplify to,

e^{yt}(y^3-y^2+4y-4)=0

Then find solutions,

\underline{y_1=1}, \underline{y_2=2i}, \underline{y_3=-2i}

For non repeated real root y, we have a form of,

y_1=c_1e^t

Following up,

For two non repeated complex roots y_2\neq y_3 where,

y_2=a+bi

and,

y_3=a-bi

the general solution has a form of,

y=e^{at}(c_2\cos(bt)+c_3\sin(bt))

Or in this case,

y=e^0(c_2\cos(2t)+c_3\sin(2t))

Now we just refine and get,

\boxed{y=c_1e^t+c_2\cos(2t)+c_3\sin(2t)}

Hope this helps.

r3t40

5 0
3 years ago
17.55 what is this rounded to nearest pound
vesna_86 [32]

Answer:18

Step-by-step explanation:

The 17.55 rounded to nearest pound is 18.

8 0
2 years ago
Find the derivative of f(x)=x+1/x-1 using first principal​
zepelin [54]

f ' ( x ) = 1 ( x + 1 ) 2

 

Explanation:

differentiating from first principles

f ' ( x ) = lim h → 0

 

f ( x + h ) − f ( x ) h

f ' ( x ) = lim h → 0

 x + h x + h + 1 − x x + 1 h

the aim now is to eliminate h from the denominator

f ' ( x ) = lim h =0  

( x + h ) ( x + 1 )− x ( x + h + 1) h ( x + 1 ) ( x + h + 1 )

f ' ( x ) = lim h → 0

 x 2 + h x + x + h − x 2 − h x − x h ( x + 1 ) ( x+h + 1 )

f ' ( x ) = lim h → 0

 

h 1 h 1 ( x + 1 ) ( x + h +1 )

f ' ( x ) = 1 ( x + 1 ) 2

5 0
3 years ago
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