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3 years ago

The product of two inductive odd integers

Mathematics

1 answer:

vaieri [72.5K]3 years ago

4 0

Let m and n be any integers so that 2m and 2k are two even numbers.

The product is 2m(2k) = 2(2mk), which is even.

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1) What is the equation of the line whose y-intercept is 3 and slope is 1?

s2008m [1.1K]

$The\ slope-intercept\ form:y=mx+b\\\\m\ is\ slope\\b\ is\ y-intercept\\\\m=1;\ b=3\ then\ y=1x+3\Rightarrow y=x+3$

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3 years ago

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3 years ago

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3 years ago

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kozerog [31]

Answer:

x = 8°

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3 years ago

Implicit diffrention problems I am really stuck on

AysviL [449]

Answer:

$\frac{dy}{dx} =\frac{4x^3+3x^2y-5y^2}{10xy-3y^2-x^3}$

Step-by-step explanation:

solving for dy/dx

multiply the equation out to remove parentheses

$x^4 + x^3y = 5xy^2 -y^3$

now differentiating in terms of x ( $\frac{dy}{dx}$ )

$4x^3 +3x^2y + x^3(\frac{dy}{dx} ) = 5y^2 + 10xy(\frac{dy}{dx} )-3y^2(\frac{dy}{dx} )$

isolating dy/dx to one side

$4x^3 +3x^2y - 5y^2= 10xy(\frac{dy}{dx} )-3y^2(\frac{dy}{dx} )-x^3(\frac{dy}{dx} )$

$4x^3 +3x^2y - 5y^2= \frac{dy}{dx}(10xy-3y^2-x^3)$

$\frac{dy}{dx} =\frac{4x^3+3x^2y-5y^2}{10xy-3y^2-x^3}$

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3 years ago