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ValentinkaMS [17]
3 years ago
10

Given the points P(3, 2) and R(6, 8), find the slope

Mathematics
1 answer:
Alexus [3.1K]3 years ago
8 0

Answer:

Slope = 2

Step-by-step explanation:

slope = (y2-y1) / (x2-x1)

(8-2)/(6-3) = 6/3 = 2

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Alexxandr [17]
I hope this helps you



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G wants to get over 9000 comments on his videos. He gets the same number of comments for each cat video that he uploads, and he
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Condense the following logarithm: <br><img src="https://tex.z-dn.net/?f=5%20log_%7B4%7D%28a%29%20%20-%206%20log_%7B4%7D%28b%29%2
aleksley [76]

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3 years ago
Find a power series representation of e^x sin(x)
liberstina [14]
The Taylor series is defined by:
f(x) = \sum \frac{f^n (a)}{n!} (x-a)^n

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}...

If more terms are needed simply continue the recursive derivative formula and add to taylor series.
6 0
3 years ago
A cars value starts at $32,000. After 1 year, it is worth $27,200. What is the decay factor?
notka56 [123]

Answer:

15% × 7 = 1.05

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31,998.95 ‐‐‐‐‐> 31,999

$31,999

(If you don't need to simplify, the answer would be $31,998.95, but I did it just incase you do)

Step-by-step explanation:

7 0
3 years ago
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