3 years ago

Six more than x equals 9

Mathematics

1 answer:

Mademuasel [1]3 years ago

6 0

Why do I feel like this isn’t enough info

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Finding Derivatives Implicity In Exercise, find dy/dx implicity.<br> x2 - 3 ln y + y2 = 10

Veseljchak [2.6K]

Answer:

$\frac{dy}{dx}=-\frac{2xy}{2y^2-3}$

Step-by-step explanation:

We are given that

$x^2-3lny+y^2=0$

Differentiate w.r.t x

$2x-\frac{3}{y}\frac{dy}{dx}+2y\frac{dy}{dx}=0$

By using formula

$\frac{dx^n}{dx}=nx^{n-1}$

$\frac{d(lnx)}{dx}=\frac{1}{x}$

$\frac{dy^n}{dx}=ny^{n-1}\frac{dy}{dx}$

$\frac{dy}{dx}(-\frac{3}{y}+2y)+2x=0$

$\frac{dy}{dx}(-\frac{3}{y}+2y)=-2x$

$\frac{dy}{dx}=-\frac{2x}{-\frac{3}{y}+2y}$

$\frac{dy}{dx}=-\frac{2xy}{2y^2-3}$

Hence, the derivative of function

$\frac{dy}{dx}=-\frac{2xy}{2y^2-3}$

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3 years ago

Prove if the sum of the digits of a 3 digit number n is divisible by 9, then n is divisible by 9.

beks73 [17]

$n=100x+10y+z\\x+y+z=9k,k\in\mathbb{Z}\\\\n=99x+9y+x+y+z\\n=99x+9y+9k\\n=9(11x+y+k)$

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Estimate the unit rate to the nearest hundredth

alexandr1967 [171]

so where are the numbers

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3 years ago

How do I find the indicated derivative?

sergey [27]

Multiply the fraction by both things in the parenthesis.

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Steve collects oysters for a living and sells them to restaurants. While catching oysters, Steve keeps track of the total weight

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Step-by-step explanation:

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3 years ago

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