Question

11. Which of the following differential equations would produce the slope field shown below? Explain how you know. (A.) $\frac{dy}{dx} = 0.1x(40 - x)$ (B.) $\frac{dy}{dx} = 0.1y(40 - y)$ (C.) $\frac{dy}{dx} = \frac{80}{1 + 14e^{-1.4x}}$ (D.) $\frac{dy}{dx} = 0.1y(40 - x)$

          11. Which of the following differential equations would produce the slope field shown below?
Explain how you know.
(A.)  $\frac{dy}{dx} = 0.1x(40 - x)$
(B.)  $\frac{dy}{dx} = 0.1y(40 - y)$
(C.)  $\frac{dy}{dx} = \frac{80}{1 + 14e^{-1.4x}}$
(D.)  $\frac{dy}{dx} = 0.1y(40 - x)$

11. Which of the following differential equations would produce the slope field shown below?
Explain how you know.
(A.) (dy)/(dx) = 0.1x(40 - x)
(B.) (dy)/(dx) = 0.1y(40 - y)
(C.) (dy)/(dx) = (80)/(1 + 14e^-1.4x)
(D.) (dy)/(dx) = 0.1y(40 - x)

Added by Cody L.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

06/03/2022

Step 1

Step 1: First, we need to analyze the slope field given to determine the behavior of the differential equation. Show more…

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Which of the following differential equations would produce the slope field shown below Explain how you know. (A.) dx dy =0.1y(40-y dx (B. (c.) dy 80 dx 1+14e-1.4x (D.) dy =0.1y40-x xp