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Tju [1.3M]
3 years ago
6

I don't have much points, but you get 25 points, and brainiest. need help asap

Mathematics
1 answer:
Alex787 [66]3 years ago
3 0
The answer would be 33 units^2!

I hope this helped! Mark me Brainliest! :) -Raven❤️
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If [infinity] cn8n n = 0 is convergent, can we conclude that each of the following series is convergent? (a) [infinity] cn(−3)n
pashok25 [27]

Answer:

a) we know that this is convergent.

b) we know that this might not converge.

Step-by-step explanation:

Given the \sum^\infty_{n=0}C_n8^n is convergent

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(a)  \sum^\infty_{n=0}C_n(-3)^n The power series \sum C_nx^n has radius of convergence at least as big as 8. So we definitely know it converges for all x satisfying -8<x≤8. In particular for x = -3

∴ \sum^\infty_{n=0}C_n(-3)^n  is convergent.

(b) \sum^\infty_{n=0}C_n(-8)^n -8 could be right on the edge of the interval of convergence, and so might not converge

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3 years ago
Which of these intervals has an average rate of change that is less than 1/4
RideAnS [48]

Answer:

Interval [b,c] and interval [c,d]

Step-by-step explanation:

a(-5,0)

b(-1,2)

c(4,3)

d(11,4)

The average rate of change is the the total rise over the total run.

The Rise means the vertical increase and the Run means horizontal incease.

For interval [a,b]

rate of change is \dfrac{2-0}{-1-(-5)}=\dfrac{2}{4}=\dfrac{1}{2}

For [b,c]

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For [c,d]

\dfrac{4-3}{11-4}=\dfrac{1}{7}

8 0
2 years ago
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