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zepelin [54]
3 years ago
5

Round 7,582.149 to: tens and hundredths

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
8 0

Answer:

Round to Tens

7,580

Round to hundredths

7,582.15

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Find the taylor series for f(x) centered at the given value of a. [assume that f has a power series expansion. do not show that
RUDIKE [14]

The taylor series for the f(x)=8/x centered at the given value of a=-4 is -2+2(x+4)/1!-24/16 (x+4)^{2}/2!+...........

Given a function f(x)=9/x,a=-4.

We are required to find the taylor series for the function f(x)=8/x centered at the given value of a and a=-4.

The taylor series of a function f(x)=f(a)+f^{1}(a)(x-a)/1!+ f^{11}(a)(x-a)^{2} /2! +f^{111}(a)(x-a)a^{3}/3!+..........

Where the terms in f prime f^{1}(a) represent the derivatives of x valued at a.

For the given function.f(x)=8/x and a=-4.

So,f(a)=f(-4)=8/(-4)=-2.

f^{1}(a)=f^{1}(-4)=-8/(-4)^{2}

=-8/16

=-1/2

The series of f(x) is as under:

f(x)=f(-4)+f^{1}(-4)(x+4)/1!+  f^{11}(-4)(x+4)^{2}/2!.............

=8/(-4)-8/(-4)^{2} (-4)(x+4)/1!+  24/(-4)^{3} (-4)(x+4)^{2}/2!.............

=-2+2(x+4)/1!-24/16 (x+4)^{2}/2!+...........

Hence the taylor series for the f(x)=8/x centered at the given value of a=-4 is -2+2(x+4)/1!-24/16 (x+4)^{2}/2!+...........

Learn more about taylor series at brainly.com/question/23334489

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A restaurant is preparing for a large barbeque cook out. The restaurant is planning to cook briskets that are 5 lb each and hamb
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The inequality that can be used to represents all possible combinations of x, the number of hamburgers and y, the number of briskets that will be cooked is 5y + 0.25x ≤ 150

Given:

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number of hamburgers = x

number of briskets = y

No more than in inequality = (≤)

The inequality:

5y + 0.25x ≤ 150

Therefore, inequality that can be used to represents all possible combinations of x, the number of hamburgers and y, the number of briskets that will be cooked is 5y + 0.25x ≤ 150

Learn more about inequality:

brainly.com/question/18881247

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140cm<br> 3 cm<br> 12 cm<br> 8 cm<br> Find surface area?
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8 0
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D

Step-by-step explanation:

Suppose she only fills her big pots. The number of big pots filled is 120÷12=10. So the y-intercept is (0,10).

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Leto [7]

Answer:

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When f=3, 1+3f=1+3(3)=1+9=10

We can see that the value of the given expression for each successive term increases and in fact form the sequence

4,7,10,...

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