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1.10.2 Differentiating standard functions

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Question 9

The signal strength, SSS milliwatts, of a deep-space communications beam as it penetrates a nebulous gas cloud of density ρ\rhoρ kg m−3^{-3}−3 is modeled by the equation

S=240e−0.075ρ S = 240e^{-0.075\rho} S=240e−0.075ρ

Determine an expression for the rate of change of signal strength with respect to density, dSdρ\frac{dS}{d\rho}dρdS​.

Select the correct answer from the options below:

dSdρ=−180e−0.075ρ\frac{dS}{d\rho} = -180e^{-0.075\rho}dρdS​=−180e−0.075ρ

dSdρ=−18e−0.075ρ\frac{dS}{d\rho} = -18e^{-0.075\rho}dρdS​=−18e−0.075ρ

dSdρ=18e−0.075ρ\frac{dS}{d\rho} = 18e^{-0.075\rho}dρdS​=18e−0.075ρ

dSdρ=−3200e−0.075ρ\frac{dS}{d\rho} = -3200e^{-0.075\rho}dρdS​=−3200e−0.075ρ

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1.10.2 Differentiating standard functions Questions

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