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irina1246 [14]
3 years ago
13

PLEASE HELP !

Mathematics
1 answer:
leonid [27]3 years ago
6 0
Don’t click those links!
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Find the solution of the differential equation that satisfies the given initial condition.
Ann [662]

Answer:

I don’t know

Step-by-step explanation:

5 0
3 years ago
Identify whether the series sigma notation infinity i=1 15(4)^i-1 is a convergent or divergent geometric series and find the sum
const2013 [10]

Answer:  The correct option is

(d) This is a divergent geometric series. The sum cannot be found.

Step-by-step explanation: The given infinite geometric series is

S=\sum_{i=1}^{\infty}15(4)^{i-1}.

We are to identify whether the given geometric series is convergent or divergent. If convergent, we are to find the sum of the series.

We have the D' Alembert's ratio test, states as follows:

Let, \sum_{i=1}^{\infty}a_i is an infinite series, with complex coefficients a_i and we consider the following limit:

L=\lim_{i\rightarrow \infty}\dfrac{a_{i+1}}{a_i}.

Then, the series will be convergent if  L < 1 and divergent if  L > 1.

For the given series, we have

a_i=15(4)^{i-1},\\\\a_{i+1}=15(4)^i.

So, the limit is given by

L\\\\\\=\lim_{i\rightarrow \infty}\dfrac{a_{i+1}}{a_i}\\\\\\=\lim_{i\rightarrow \infty}\dfrac{15(4)^i}{15(4)^{i-1}}\\\\\\=\lim_{i\rightarrow \infty}\dfrac{15(4)^i}{15(4)^{i}4^{-1}}\\\\\\=\dfrac{1}{4^{-1}}\\\\=4>1.

Therefore, L >1, and so the given series is divergent and hence we cannot find the sum.

Thuds, (d) is the correct option.

7 0
3 years ago
Read 2 more answers
Help please I give you a cookie
SIZIF [17.4K]
K and j are adjacent
3 0
3 years ago
Simplify the expression. 1/3r + 1/4 + 2/3r + 3/4​
expeople1 [14]

Answer:

r+1

Step-by-step explanation:

4 0
2 years ago
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If 300 gallons of water fill a swimming pool in 20 minutes, how many gallons fill the swimming pool in 25 minutes?
lapo4ka [179]

Answer:

375 gallons in 25 minutes

Step-by-step explanation:

first decide how many gallons in one minute

300/20 = 15 gallons in one minute

next multiply 15 x 25 minutes. You get 375 gallons in 25 minutes

8 0
3 years ago
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