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2 years ago

14

A marble begins a marble track at 18.5 inches above the tabletop. It goes down a slide 8 inches long, rides up two paddle wheels

that are 2 1/4 inches each. You want to split the remaining height into three equal sections, how long will each section be?

1 answer:

snow_lady [41]2 years ago

6 0

Answer:

2in

Step-by-step explanation:

18.5in - 8in = 10.5in

10.5in - (2.25in * 2) = 10.5in - 4.5in = 6in

6in / 3 = 2in

Hope it helps,... Chow,...!

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By the power rule,

$f(x)=y^2\implies\dfrac{\mathrm df}{\mathrm dy}=2y=\dfrac{2(x+5)}{x^2+3}$

By the quotient rule,

$y=\dfrac{x+5}{x^2+3}\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{(x^2+3)\frac{\mathrm d(x+5)}{\mathrm dx}-(x+5)\frac{\mathrm d(x^2+3)}{\mathrm dx}}{(x^2+3)^2}$

$\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{(x^2+3)-(x+5)(2x)}{(x^2+3)^2}$

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So

$\dfrac{\mathrm df}{\mathrm dx}=\dfrac{2(x+5)}{x^2+3}\cdot\dfrac{3-10x-x^2}{(x^2+3)^2}$

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ANSWER

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Group like terms
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Be careful how you handle this.

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