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3 years ago

Using the power series methods solve the 1st order Lane-Emden Equation:

Mathematics

1 answer:

nikklg [1K]3 years ago

5 0

Answer:

Step-by-step explanation:

xy = 2y + xy = 0

Hence, 2y + xy = 0 ---------(1)

Differentiating equation (1) n times by Leibnitz theorem, gives:

2y(n) + xy(n) + ny(n - 1) = 0

Let x = 0: 2y(n) + ny(n - 1) = 0

2y(n) = -ny(n - 1)

∴ y(n) = -ny(n - 1)/2 for n ≥ 1

For n = 1: y = 0

For n = 2: y(1) = -y

For n = 3: -3y(2)/2

For n = 4: -2y(3)

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The length of Albert's rectangular are listed below.

trapecia [35]

A. Length - 100 ft Width - 50 ft is the measurement of Tony's backyard.

Albert's Perimeter = 2(l+w) = 2(40+20) = 2(60) = 120 ft.

Tony's Perimeter = 120 ft * 2.5 = 300 ft
Tony's length = 40 ft * 2.5 = 100 ft
Tony's widht = 20 ft * 2.5 = 50 ft

To check tony's perimeter:
P = 2(l + w) = 2 (100 + 50) = 2 (150) = 300 ft.

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3 years ago

According to u.s. postal regulations, the girth plus the length of a parcel sent by mail may not exceed 108 inches, where by "gi

Pepsi [2]

Let x represent the side length of the square end, and let d represent the dimension that is the sum of length and girth. Then the volume V is given by
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dV/dx = 0 = -12x² +2dx
0 = -2x(6x -d)
This has solutions
x = 0, x = d/6

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2 years ago

How do turn a decimal to a fraction

Ivanshal [37]

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2 years ago

Read 2 more answers

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Anettt [7]

Answer:

Fourth option

Step-by-step explanation:

Given the expression in the picture:

Apply Power of Power Rule

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2 years ago

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Ira Lisetskai [31]

Hello there! I can help you! The formula for compound interest is P(1 + r)^t, where P= principal (initial amount), r = interest rate (in decimal form), and t = time (in years). Let's do this step by step. First off, we add the rate into 1. 4% is the interest rate (0.04 in decimal form). 1 + 0.04 is 1.04. Now, what we will do is raise that number to the 2nd power, because the time that elapses is 2 years. 1.04² is 1.0816. That's that. Now, multiply 7,500 to find the total amount of money. 1.0816 * 7,500 is 8,112. There. Toby's savings account balance in 2 years is £8,112.

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2 years ago