Question

Consider the following mathematical model, where k is the constant of proportionality: B' = k (P^2 / (LW A??sqrt(Z))) Which of the following is true? I The rate of change of B is proportional to the product of W and A. II The rate of change of B is inversely proportional to the square root of Z. III The rate of change of B is inversely proportional to the product of W and A.

          Consider the following mathematical model, where k is the constant of proportionality:
B' = k (P^2 / (LW A??sqrt(Z)))
Which of the following is true?

I The rate of change of B is proportional to the product of W and A.

II The rate of change of B is inversely proportional to the square root of Z.

III The rate of change of B is inversely proportional to the product of W and A.

Consider the following mathematical model, where k is the constant of proportionality:
B' = k (P^2 / (LW A??sqrt(Z)))
Which of the following is true?

I The rate of change of B is proportional to the product of W and A.

II The rate of change of B is inversely proportional to the square root of Z.

III The rate of change of B is inversely proportional to the product of W and A.

Added by Sandra C.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

07/05/2024

Step 1

The rate of change of B is proportional to the product of W and A. From the equation above, we can see that $\frac{dB}{dt}$ is proportional to $LWA\sqrt{z}$, not just $WA$. So, statement I is false. II. The rate of change of B is inversely proportional to the Show more…

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Consider the following mathematical model, where k is the constant of proportionality: B' = k (P^2 / (LW A*sqrt(Z))) Which of the following is true? I The rate of change of B is proportional to the product of W and A. II The rate of change of B is inversely proportional to the square root of Z. III The rate of change of B is inversely proportional to the product of W and A.