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Thread: Is the rate of change always positive in your answer?

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    Cadet stopcrying's Avatar
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    Question Is the rate of change always positive in your answer?

    The question asks "What is the rate of change of the volume of the soap" wherein my answer was "-0.2cm^3/s" which kind of implicitly is saying its decreasing. However, the answers dont even mention this and only states the answer as "the volume decreases at a rate of 0.2 cm^3/s". Are both of these fine?

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    Senior Member jazz519's Avatar
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    Re: Is the rate of change always positive in your answer?

    Yep both are fine
    stopcrying likes this.
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    Re: Is the rate of change always positive in your answer?

    Quote Originally Posted by stopcrying View Post
    The question asks "What is the rate of change of the volume of the soap" wherein my answer was "-0.2cm^3/s" which kind of implicitly is saying its decreasing. However, the answers dont even mention this and only states the answer as "the volume decreases at a rate of 0.2 cm^3/s". Are both of these fine?
    They are the same thing. But if the question says "At what rate is the volume of the soap decreasing?" then -0.2cm^3/s would be wrong as decreasing at -0.2cm^3/s translates to increasing at 0.2cm^3/s

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