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3 years ago

16

Mathematics

1 answer:

fenix001 [56]3 years ago

6 0

Answer:

Step-by-step explanation:

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Colton is filling 5 aquariums with water. Each aquarium needs 72 gallons of water. About how many gallons of water are needed to

Natali5045456 [20]

A. about 14
divide 72/5= 14.4 which rounds to 14

4 0

3 years ago

Please help me with matching formulas!!!

bonufazy [111]

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8 0

3 years ago

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 $x$ .

5 0

3 years ago

How can this expression be written another way? 56k + 8

alexira [117]

Step-by-step explanation:

8(7k+1)

no need to thank me

4 0

3 years ago

5/2=? ?/? ill give brainliest

adoni [48]

Answer:

Okay so you jsut gotta divide

5/2 is basically saying 5 divided by 2, the bar basically means divide by.

Now 5/2 is 2.5

2.5 into a mixes is 2 1/2

7 0

2 years ago