3 years ago

Match the pairs of equivalent expressions

Mathematics

2 answers:

ad-work [718]3 years ago

7 0

Is this the full question?

your mom 123456782 years ago

0 0

i love you

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Show that y2+ x-3 =0 is an implicit solution to dy/dx =-1/ (2y) on the interval (- [infinity] , 3)

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Answer:

Implicit function

$\frac{d y}{d x} = \frac{-1}{2y}$

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given y² + x - 3=0 ...(i)

Differentiating equation (i) with respective to 'x', we get

$2 y \frac{d y}{d x} +1 = 0$

⇒ $2 y \frac{d y}{d x} = -1$

⇒ $\frac{d y}{d x} = \frac{-1}{2y}$

$\frac{d y}{d x} = \frac{-1}{2 (3)}$

$\frac{d y}{d x} = \frac{-1}{6}$

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What is the slope of the line shown below?

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