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3 years ago

Solve the equation: (x^4 - x + y)dx - xdy=0

1 answer:

5 0

Keeping in mind that "dx" is the delta x, or differential over the x-axis, whilst "dy" is the delta y or differential over the y-axis,

$\bf (x^4-x+y)dx-xdy=0\implies \stackrel{\textit{distributing dx}}{x^4dx-xdx+ydx}-xdy=0
\\\\\\
ydx=xdy-x^4dx+xdx\implies y=\cfrac{xdy-x^4dx+xdx}{dx}
\\\\\\
y=\stackrel{\textit{distributing the denominator}}{x\cfrac{dy}{dx}-x^4+x}$

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Can someone help me on this problem

Svetradugi [14.3K]

1.5p+3p+2.5p= total amount

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3 years ago

Read 2 more answers

There are 50 runners in a race. How many ways can the runners finish first, second, and third?

Dmitrij [34]

Number of ways can the runners finish first, second, and third is 1,17,600 .

<u>Step-by-step explanation:</u>

Permutation is the act of arranging the members of a set into a sequence or order, or, if the set is already ordered, rearranging (reordering) its elements—a process called permuting. For example, written as tuples, there are six permutations of the set {1,2,3}, namely: (1,2,3), (1,3,2), (2,1,3), (2,3,1), (3,1,2), and (3,2,1). Formula of Permutation is : $P(n,r) = \frac{n!}{(n-r)!}$ where n is the number of things to choose from, and we choose r of them, no repetitions, order matters. Here , n = 50 , r= 3

⇒ $P(n,r) = \frac{n!}{(n-r)!}$

⇒ $P(50,3) = \frac{50!}{(50-3)!} = \frac{50(49)(48)47!}{47!}$

⇒ $P(50,3) = 50(49)(48)$

⇒ $P(50,3) = 1,17,600$

∴ Number of ways can the runners finish first, second, and third is 1,17,600 .

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3 years ago

Tamia watched 1 2 of a movie in the morning, and she watched some more at night. By the end of the day, she still had 1 3 of the

KonstantinChe [14]

Answer: Tamiya watched $\dfrac16$ of the movie at night.

Step-by-step explanation:

Let x = part of movie watched at night.

Given : Tanya watched $\dfrac12$ of movie in the morning.

Part left to watch = $\dfrac13$

As per given, we have

$\dfrac12+x+\dfrac13=1\\\\\Rightarrow\ x=1-\dfrac13-\dfrac12\\\\\Rightarrow\ x=\dfrac{6-2-3}{6}\\\\\Rightarrow\ x=\dfrac16$

Hence, Tamiya watched $\dfrac16$ of the movie at night.

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3 years ago

Find the Interest .The loan will be $25,900 over 5years at 6.25%

koban [17]

The interest would be $8,093.75

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2 years ago

Shannon sells handmade wallets for $12 each.

White raven [17]

Answer:

<h2>Step-by-step explanation:</h2><h2>So you do 396 divided by 12=33</h2><h2>she sold 3 more wallets so then u would do 33 divided by 3 which would equal = <u>11</u></h2>

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3 years ago