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anonymous

  • 5 years ago

the relatioship between the volume of a cube and the lenght of its side is a function. the volume is a fuction of the side lenght. 1)is this a linear function? justify. 2)describe the way in which the gradient of this function changes? 3)what is the average gradient of the function if the length is 2?

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  1. nowhereman
    • 5 years ago
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    So what exactly don't you know?

  2. anonymous
    • 5 years ago
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    everything in the question

  3. nowhereman
    • 5 years ago
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    If a cube has all its side length equal to a length x, what is its volume?

  4. anonymous
    • 5 years ago
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    x^3

  5. nowhereman
    • 5 years ago
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    That is what they by the volume function depending on the side length. Next calculate the gradient (=derivative) of this function.

  6. anonymous
    • 5 years ago
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    3x^2

  7. anonymous
    • 5 years ago
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    is this linear function

  8. nowhereman
    • 5 years ago
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    A linear function f(x) must satisfy the conditions \[f(x+y) = f(x)+f(y)\quad f(αx) = αf(x)\] for any real numbers x,y,α.

  9. anonymous
    • 5 years ago
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    so is this a linear function

  10. nowhereman
    • 5 years ago
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    No, but you should check this yourself.

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