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Drawing the graphs first will greatly aid in their interpretation!
Key to this problem is the idea for small values of t we have t is a lot larger than t^2, which is in turn a lot larger than t^3. For large values of t the reverse is true.
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Age 16 to 18
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Drawing the graphs first will greatly aid in their interpretation!
Key to this problem is the idea for small values of t we have t is a lot larger than t^2, which is in turn a lot larger than t^3. For large values of t the reverse is true.
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Power Up
Show without recourse to any calculating aid that 7^{1/2} + 7^{1/3} + 7^{1/4} < 7 and 4^{1/2} + 4^{1/3} + 4^{1/4} > 4 . Sketch the graph of f(x) = x^{1/2} + x^{1/3} + x^{1/4} -x