All categories

2 years ago

The differential equation dy dx equals the quotient of the quantity x plus 1 and y minus 3

Mathematics

1 answer:

Phantasy [73]2 years ago

3 0

Answer:

I only

Step-by-step explanation:

dy/dx = x + 1 / y -3

(y - 3)dy = (x + 1) dx

integrate

1/2y^2 - 3x = 1/2x^2 + x

1/2y^2 = 1/2x^2 + 4x

y^2 = x^2 + 8x

y = (x^2 + 8x)^1/2

You might be interested in

What is the domain of g(x) = sqrt x +1

Shkiper50 [21]

There can be no negative in a sqrt
so x+1 must be equal or greater then 0
x+1 $\geq$ 0
x $\geq$ -1
so all answers must be greater then or equal to -1
-1,0,1,2,3,4,5,6,7,8
(-1,infinity) is the domain

7 0

2 years ago

Find the prime factor of the number 3825.

Masja [62]

Answer:

the answer is 3×3×5×5×17=3825 use prime factorization

3 0

2 years ago

Which of the following is not a property of a chi-square distribution?

laiz [17]

Answer:

c) Is not a property (hence (d) is not either)

Step-by-step explanation:

Remember that the chi square distribution with k degrees of freedom has this formula

$\chi_k^2 = \matchal{N}_1^2 + \matchal{N}_2^2 + ... + \, \matchal{N}_{k-1}^2 + \matchal{N}_k^2$

Where N₁ , N₂m .... $N_k$ are independent random variables with standard normal distribution. Since it is a sum of squares, then the chi square distribution cant take negative values, thus (c) is not true as property. Therefore, (d) cant be true either.

Since the chi square is a sum of squares of a symmetrical random variable, it is skewed to the right (values with big absolute value, either positive or negative, will represent a big weight for the graph that is not compensated with values near 0). This shows that (a) is true

The more degrees of freedom the chi square has, the less skewed to the right it is, up to the point of being almost symmetrical for high values of k. In fact, the Central Limit Theorem states that a chi sqare with n degrees of freedom, with n big, will have a distribution approximate to a Normal distribution, therefore, it is not very skewed for high values of n. As a conclusion, the shape of the distribution changes when the degrees of freedom increase, because the distribution is more symmetrical the higher the degrees of freedom are. Thus, (b) is true.

6 0

2 years ago

6k+4k<-4k+6 solve for k

Genrish500 [490]

Answer:

k < 3/7

Step-by-step explanation:

Step 1:Sinplify both sides of the inequality

10k <-4k+6

Step 2: Add 4k to both sides

10k + 4k < -4k + 6 + 4k

14k < 6

Step 3:Divide both sides by 14

14k/14 < 6/14

k <3/7

Note:Provided by Mathpapa an Algebra caculator

6 0

2 years ago

A recent gasoline survey said that the national average price of gasoline was $1.298 a gallon. It was felt that gasoline price i

slava [35]

Answer:

alternative hypothesis : H₁ :

Recent Gasoline surveys felt that gasoline price in Texas was significantly lower than the national average

Alternative Hypothesis : H₁: μ < $1.298 a gallon

Step-by-step explanation:

Explanation:-

Given A recent gasoline survey said that the national average price of gasoline was $1.298 a gallon

Population average μ= $1.298 a gallon

sample size 'n' = 37

Sample mean (x⁻) = $1.192 a gallon

Sample standard deviation 'S' = $0.0436

Null hypothesis :H₀ : μ = $1.298 a gallon

Alternative Hypothesis : μ < $1.298 a gallon

Degrees of freedom : ν = n-1= 37-1=36

t₀.₀₂₅ = 1.688

Test statistic

$t = \frac{x^{-}-mean }{\frac{S}{\sqrt{n} } }$

$t = \frac{1.192-1.298 }{\frac{0.0436}{\sqrt{37} } }$

t = -14.8044

|t| = |-14.8044| > 1.688

Null hypothesis is rejected

Alternative hypothesis is accepted

Recent Gasoline surveys felt that gasoline price in Texas was significantly lower than the national average

6 0

2 years ago