At a certain toy store, tiny stuffed

Mathematics

1 answer:

AleksAgata [21]3 years ago

4 0

Answer:

130

Step-by-step explanation: add

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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

Therefore,

(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

8 0

3 years ago

The yard behind the Cindy's house is rectangular in shape and has a perimeter of 72 feet. If the length l of the yard is 18 feet

QveST [7]

Let the width of the yard be w.
Since the length is 18feet longer, l = w + 18

Perimeter for rectangle = 2(l + w)

2(l + w) = 72

2(w+18 + w) = 72    Divide 2 on both sides

   (w + 18 + w) = 36

   2w + 18 = 36

   2w = 36 - 18

2w = 18 Divide 2 on both sides

w = 18/2

   w = 9

Recall, length l = w + 18, l = 9 + 18 = 27

Hence width, w = 9, length,l = 27

Area of rectangle = l × w = 27 × 9 = 243

Area of rectangular yard = 243 square feet.

8 0

4 years ago

Expand. (n^2 -3n +1)(2n + 3) =

sukhopar [10]

Answer:

$2n^3-3n^2-7n+3$