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alina1380 [7]
2 years ago
13

Which pairs of expressions are equivalent More the 1 answer

Mathematics
1 answer:
tia_tia [17]2 years ago
5 0

Answer:

The first 3 pairs of expressions are equivalent.

Step-by-step explanation:

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1) Find the general solution to the following differential equation x^3•y’- y = 0
maxonik [38]

Answer:

y(x) = c_1 e^(-1/(2 x^2))

Step-by-step explanation:

Solve the separable equation x^3 (dy(x))/(dx) - y(x) = 0:

Solve for (dy(x))/(dx):

(dy(x))/(dx) = y(x)/x^3

Divide both sides by y(x):

((dy(x))/(dx))/y(x) = 1/x^3

Integrate both sides with respect to x:

integral((dy(x))/(dx))/y(x) dx = integral1/x^3 dx

Evaluate the integrals:

log(y(x)) = -1/(2 x^2) + c_1, where c_1 is an arbitrary constant.

Solve for y(x):

y(x) = e^(-1/(2 x^2) + c_1)

Simplify the arbitrary constants:

Answer:  y(x) = c_1 e^(-1/(2 x^2))

6 0
2 years ago
What's the domain and range of f(x)=2/3x-3
arsen [322]
D : x\neq1
R : y\neq 0
as it is a hyperbola with discontinuities at x= 1 and y=0
5 0
3 years ago
What is 52/65 in simplest form?
charle [14.2K]
It would be equal to 52/65 = 4/5
4 0
3 years ago
Newton's second law says force (f) is equal to mass (m) times acceration (a). A scientist wants to calculate the force of an obj
GrogVix [38]
Force = mass x accerelation
= 0.29 x 9.8
= 2.842 N
3 0
3 years ago
Read 2 more answers
When 0.3(4x – 8) – 0.5(–2.4x + 4) is simplified, what is the resulting expression?
SVETLANKA909090 [29]

Answer:

2.2x - 4.4

Step-by-step explanation:

0.3(4x-8) - 0.5(-2x+4)

1.2x-2.4-0.5 (-2x+4)

1.2x - 2.4 + x-2

2.2x - 4.4

Hope this helped :)

4 0
3 years ago
Read 2 more answers
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