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3 years ago

Order these numbers from least to greatest

Mathematics

2 answers:

Marrrta [24]3 years ago

8 0

Answer:

5.125, 5.14, ¹⁰³/₂₀, 5²/₉

Step-by-step explanation:

When you convert 103/20 to decimal you get 5.15 which is greater than 5.125 and 5.14.

When you convert 5²/₉ to fraction you get ⁴⁷/₉ which when converted to decimal is 5.222 which is greater than 5.125, 5.14 and 5.15.

Serhud [2]3 years ago

4 0

I know the beginning is 5.125 and the last is 5 2/9

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Enter the coefficients of the fifth Taylor polynomial T5(x) for the function f(x) = x5−3x4+2x2+5x−2 based at b=1. T5(x)= + (x−1)

DENIUS [597]

Compute the necessary values/derivatives of $f(x)$ at $x=1$ :

$f(1)=3$

$f'(1)=2$

$f''(1)=-12$

$f'''(1)=-12$

$f^{(4)}(1)=48$

$f^{(5)}(1)=120$

Taylor's theorem then says we can "approximate" (in quotes because the Taylor polynomial for a polynomial is another, exact polynomial) $f(x)$ at $x=1$ by

$T_5(x)=\dfrac3{0!}+\dfrac2{1!}(x-1)-\dfrac{12}{2!}(x-1)^2-\dfrac{12}{3!}(x-1)^3+\dfrac{48}{4!}(x-1)^4+\dfrac{120}{5!}(x-1)^5$

$T_5(x)=3+2(x-1)-6(x-1)^2-2(x-1)^3+2(x-1)^4+(x-1)^5$

###

Another way of doing this would be to solve for the coefficients $a,b,c,d,e,g$ in

$f(x)=a+b(x-1)+c(x-1)^2+d(x-1)^3+e(x-1)^4+g(x-1)^5$

by expanding the right hand side and matching up terms with the same power of $x$ .

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3 years ago

What is absolute value???

Elena L [17]

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lilavasa [31]

Answer: 3-4n-5

Step-by-step explanation: 3-4 times an number-5 is 3-4n-5.

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1 year ago

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Answer:

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Step-by-step explanation:

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