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2 years ago

Write an equation of the line in slope-intercept form. (Pls answer fast) Y=

Mathematics

1 answer:

nydimaria [60]2 years ago

6 0

Answer:

$y = - \frac{1}{4} x + 3$

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Xy′ = √(1 − y2 ), y(1) = 0

Ulleksa [173]

Answer:

The particular solution is $y=\sin (\ln|x|)$ .

Step-by-step explanation:

The given differential equation is

$xy'=\sqrt {1-y^2}$

It can be written as

$x\frac{dy}{dx}=\sqrt {1-y^2}$

Use variable separable method to solve the above equation.

$\frac{dy}{\sqrt {1-y^2}}=\frac{1}{x}dx$

Integrate both sides.

$\int \frac{dy}{\sqrt {1-y^2}}=\int \frac{1}{x}dx$

$\sin^{-1} y=\ln|x|+C$ .... (1)

It is given that y(1)=0. It means y=0 at x=1.

$\sin (0)=\ln|1|+C$

$0=0+C$

$0=C$

The value of constant is 0.

Substitute C=0 in equation (1) to find The required equation.

$\sin^{-1} y=\ln|x|+0$

Taking sin both sides.

$y=\sin (\ln|x|)$

Therefore the particular solution is $y=\sin (\ln|x|)$ .

7 0

3 years ago

The difference of two numbers is 42. the larger number is three less than six times the smaller number. find the numbers.

IgorLugansk [536]

X and y are the numbers
x>y

diffference is 42
x-y=42

larger is 3 less than 6 times smaller
x=-3+6y

subsitute -3+6y for x

x-y=42
-3+6y-y=42
-3+5y=42
add3 to both sides
5y=45
divide both sides by 5
y=9

sub back

x=-3+6y
x=-3+6(9)
x=-3+54
x=51

the numbers are 51 and 9

5 0

3 years ago

There are 16 girls and 18 boys in a class. The teacher Chooses a students name at random to answer a question. What is the proba

murzikaleks [220]

Step-by-step explanation:

girl=16

boy=18

picking a girl at random

the answer is = 1/16

6 0

2 years ago

Factor the following polynomial: x2−5x+6

inessss [21]

Answer:

(x-2)(x-3)

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

What is the probability of rolling a 4, 5, or 6 on a die?

allsm [11]

Answer:

1/6 chance

Step-by-step explanation:

4 0

3 years ago