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raketka [301]
3 years ago
11

What is the radius of convergence of the maclaurin series (2x)/(1+x^2)?

Mathematics
1 answer:
kramer3 years ago
7 0
To solve this problem you must apply the proccedure shown below:
 1. You have to find the radius <span>of convergence of the following Maclaurin series:
 </span>(2x)/(1+ x^{2} )&#10;
 2. Let's take the denominator and find the roots:
 1+ x^{2} =0
 x^{2} =-1 \\ x= \sqrt{-1} \\ x1=i \\  x2=-i
 3. The roots are x1=i \\ x2=-i and the distance from the origin is 1.
 Therefore, the answer is: 1
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The solutions to the inequality y &lt; to -x+1 sre shaded on the graph. Which point is a solution
Citrus2011 [14]
<h3>Answer:  B.  (3,-2)</h3>

There are two ways to confirm this is the answer. The first is to note that (3,-2) is on the boundary, so it is part of the solution set. This only works if the boundary line is a solid line (as opposed to a dashed or dotted line).

The second way is to plug (x,y) = (3,-2) into the given inequality to find that

y \le -x+1\\\\-2 \le -3+1\\\\-2 \le -2

which is a true statement. So this confirms that (3,-2) is in the solution set of the inequality.

7 0
3 years ago
We are confused when adding the additional 9 ?
yuradex [85]
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6 0
4 years ago
You need a 90% alcohol solution. On hand, you have a 55 mL of a 45% alcohol mixture. You also have 95% alcohol mixture. How much
Molodets [167]

Answer:

495 milliliters of the 95% mixture are needed.

Step-by-step explanation:

Given that I need a 90% alcohol solution, and on hand I have a 55 ml of a 45% alcohol mixture, and I also have 95% alcohol mixture, to determine how much of the 95% mixture will I need to add to obtain the desired solution, the following calculation must be performed:

55 x 0.45 + 45 x 0.95 = 67.5

25 x 0.45 + 75 x 0.95 = 82.5

15 x 0.45 + 85 x 0.95 = 87.5

10 x 0.45 + 90 x 0.95 = 90

10 = 55

90 = X

90 x 55/10 = X

4,950 / 10 = X

495 = X

Thus, 495 milliliters of the 95% mixture are needed.

5 0
3 years ago
What is the answer to this problem 1/2=q 2/3?
Angelina_Jolie [31]
3/2 = 2q
q = 3/2 ÷ 2
q = 3/2 × 1/2
q = 3/4
6 0
3 years ago
5) A theatre can be rented for different hours. The cost is $100 for deposit and $200 per hour. Write a function rule to find th
IgorLugansk [536]

Answer:

Step-by-step explanation:

Since the cost is $100 for deposit and $200 per hour, the function rule to find the total cost of renting the theatre for 'n' hours will be:

= 100 + 200(n)

= 100 + 200n

The total cost if you rented the theatre for 4 hours will be gotten by replacing n with 4. This will be:

= 100 + 200n

= 100 + 200(4)

= 100 + 800

= $900

6 0
3 years ago
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