3.6 Differentiation (A-level only)

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Question 50

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

240e^{-0.075\rho}

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

Select the correct answer from the options below:

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

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

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

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

[2]

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

240e^{-0.075\rho}

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

Select the correct answer from the options below:

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

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

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

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

3.6 Differentiation (A-level only)

Question 50

Markscheme

3.6 Differentiation (A-level only)

Question 50

Markscheme

3.6 Differentiation (A-level only)

Question 50

3.6 Differentiation (A-level only) Questions

3.6 Differentiation (A-level only)

Question 50

3.6 Differentiation (A-level only) Questions