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algol13
3 years ago
6

PLEASE LOOK AT PICURE!!! I WILL MARM BRAINIEST TO WHOEVER IS CORRECT!!!

Mathematics
2 answers:
VikaD [51]3 years ago
4 0

Answer:

Step-by-step explanation:

If you want it in decimal form it should be 8.94427190.. and so on it wants it to the nearest hundredth so its just 8.94? I hope this helps the exact form not in decimal form is 4√5.

Nataliya [291]3 years ago
4 0

Answer:

8.94

Step-by-step explanation:

(-3, -9), (1, -1)

x1 = -3

x2 = 1

y1 = -9

y2 = -1

d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

d = \sqrt{(1 - (-3))^2 + (-1 - (-9))^2}

d = \sqrt{4^2 + 8^2}

d = \sqrt{16 + 64}

d = \sqrt{80}

d = \sqrt{16 \times 5}

d = 4\sqrt{5}

d = 8.94

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Let a = 0.
Then its just a matter of finding derivatives and determining how many terms is needed for the series.

Derivatives can be found using product rule:
f^n (x) = e^x g^{n-1} (x) + e^x g^n (x)  \\ g^0 (x) = sin x

Do this successively to n = 6.
f^1 (x) = e^x (sinx +cos x) \\ f^2 (x) = e^x (2cos x)  \\ f^3 (x) = e^x(2cos x - 2sin x)  \\ f^4 (x) = e^x (-4 sin x)  \\ f^5 (x) = e^x(-4sinx -4cos x) \\ f^6(x) = e^x(-8cos x)

Plug in x=0 and sub into taylor series:
e^x  sin x = x+x^2 +\frac{x^3}{3} -\frac{x^5}{30}-\frac{x^6}{90}...

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6 0
3 years ago
Which equation best represents the relationship between x and y in the graph?
Morgarella [4.7K]

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2 years ago
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