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1.7.17 Product and quotient rules (A-level only)

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Question 43

A signal's intensity, SSS, measured at a distance x x\,x from a source (for x>0x > 0x>0), is modeled by the equation

S=e0.5x−2x2 S = \frac{e^{0.5x - 2}}{x^2} S=x2e0.5x−2​

Show that the signal intensity has exactly one stationary point. Fully justify your answer.

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1.7.17 Product and quotient rules (A-level only) Questions

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