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Grace [21]
3 years ago
9

A campground rents bicycles by the hour. The total cost y to rent a bicycle, including deposit, is presented by the function y=1

/3x+12. Is the function continuous or discrete
Mathematics
1 answer:
Bogdan [553]3 years ago
3 0
The function is discrete, as the fee is charged based on the hours
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Answer:

\frac{dV}{dt} = 360 \ cm^3/h

General Formulas and Concepts:

<u>Pre-Algebra</u>

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Step-by-step explanation:

<u>Step 1: Define</u>

<u />l = 30 \ cm\\w = l\\\frac{dl}{dt} = 2 \ cm/h\\h = 20 \ cm\\\frac{dh}{dt} = 3 \ cm/h<u />

<u />

<u>Step 2: Differentiate</u>

  1. Rewrite [VRP]:                                                                                                 V = l^2h
  2. Differentiate [Basic Power Rule]:                                                                         \frac{dV}{dt} = 2l\frac{dl}{dt} \frac{dh}{dt}

<u>Step 3: Solve for Rate</u>

  1. Substitute:                                                                                                           \frac{dV}{dt} = 2(30 \ cm)(2 \ cm/h)(3 \ cm/h)
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Here this tells us that our volume is decreasing (ice melting) at a rate of 360 cm³ per hour.

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