3 years ago

Add a noun of direct address to the sentence below, along with proper punctuation.

Mathematics

1 answer:

Shtirlitz [24]3 years ago

3 0

Answer:

I like your new haircut, dad.

Step-by-step explanation:

I'm pretty sure

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Differentiating both sides of

$x^2 + 2xy - y^2 + x = 20$

with respect to $x$ yields

$2x + 2y + 2x \dfrac{dy}{dx} - 2y \dfrac{dy}{dx} + 1 = 0 \\\\ \implies (2x-2y) \dfrac{dy}{dx} = -1 - 2x - 2y \\\\ \implies \dfrac{dy}{dx} = \dfrac{1 + 2x + 2y}{2(y-x)}$

At the point (3, 4) (so $x=3$ and $y=4$ ), the tangent line has slope

$\dfrac{dy}{dx} = \dfrac{1 + 2\times3 + 2\times4}{2(4-3)} = \dfrac{15}2$

Then the tangent line to (3, 4) has equation

$y - 4 = \dfrac{15}2 (x - 3) \implies \boxed{y = \dfrac{15}2 x - \dfrac{37}2}$

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2 years ago

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guajiro [1.7K]

Answer: 452.16 or just 452 units^3

Step-by-step explanation:

V= πr^2*h

using 3.14 like the problem asks could effect what you're rounding to but either way pi(6)^2=113.04 *4= 452.16

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Step-by-step explanation:

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Step-by-step explanation:

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