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4 years ago

11

six times jason collection of books and one third of nathan collection add up to 134 books. one third of jason collection and na

thans entire collection add up to 31 books

1 answer:

raketka [301]4 years ago

6 0

Answer:

j = 21 and n = 14

Step-by-step explanation:

we have the equations:

6j + n/3 = 134

j/3 + n = 31

54j + 3n = 1206

j + 3n = 93

53j = 1113

j = 21

(21)/3 + n = 31

7 + n = 31

n = 14

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Verify that the given two-parameter family of functions is the general solution of the nonhomogeneous differential equation on t

Yanka [14]

The question is :

2x²y'' + 5xy' + y = x² - x;

y = c1x^(1/2) + c2x^(-1) + 1/15(x^2) - 1/6(x), (0,infinity)

The functions (x^-1/2) and (x^-1) satisfy the differential equation and are linearly independent since W(x^-1/2, x^-1)= ____?____ for 0

Answer:

The functions x^(-1/2) and x^(-1) are linearly independent since their wronskian is (-1/2)x^(-5/2) ≠ 0.

Step-by-step explanation:

Suppose the functions x^(-1/2) and x^(-1) satisfy the differential equation 2x²y'' + 5xy' + y = x² - x;

and are linearly independent, then their wronskian is not zero.

Wronskian of y1 and y2 is given as

W(y1, y2) = y1y2' - y1'y2

Let y1 = x^(-1/2)

y1' = (-1/2)x^(-3/2)

Let y2 = x^(-1)

y2' = -x^(-2)

W(y1, y2) =

x^(-1/2)(-x^(-2)) - (-1/2)x^(-3/2)x^(-1)

= -x^(-5/2) + (1/2)(x^(-5/2)

= (-1/2)x^(-5/2)

So, W(y1, y2) = (-1/2)x^(-5/2) ≠ 0

Which means the functions are linearly independent.

3 0

3 years ago

Find the value of x. Round your answer to the nearest tenth.<br><br><br><br> x≈

pshichka [43]

Answer:

You did not give us an equation :\

5 0

3 years ago

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An airplane begins its descent. After 4 minutes, it is 22,000

Blababa [14]

Answer:

2,000 feet/minute

Step-by-step explanation:

After four minutes the plane has descended to 22,000 feet, and after seven minutes it has descended to 16,000 feet, so the plane lost 6,000 feet of altitude in three minutes. Assuming it lowers at a constant rate of change, the rate of change of the airplane would be $\frac{6000}{3}$ or 2,000 feet/minute.

8 0

3 years ago

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(5x3 + 3x2 - 5x + 4)

yKpoI14uk [10]

Hello there i hope you are having a great day :) Your question : (5x3 + 3x2 - 5x + 4) Answer : 5x^3 + 3x^2 - 5x +4

Hopefully that helps ya ❤

8 0

4 years ago

Please help me find x thank you so much :)

lesya692 [45]

Answer:

x= 27

Step-by-step explanation:

a triangle always has 180 degrees, therefore:

(3x-17)+(x+40)+(2x-5)= 180

6x+18=180

6x=162

x=162/6

x=27

4 0

3 years ago