$\text { A calf that weighs } 70 \text { pounds at birth gains weight at the rate } \frac { d w } { d t } = k ( 1200 - w ) \text {, }$

question 11

Multiple Choice

$\text { A calf that weighs } 70 \text { pounds at birth gains weight at the rate } \frac { d w } { d t } = k ( 1200 - w ) \text {, }$ where $w$ is weight in pounds and $t$ is time in years. Use a computer algebra system to solve the differential equation for $k = 0.9$ .

• A) \(w = 70 e ^ { - 0.9 t }\)
• B) \(w = 1130 e ^ { - 0.9 t }\)
• C) \(w = 1200 - 1130 e ^ { - 0.9 t }\)
• D) \(w = 1130 - 0.9 e ^ { - t }\)
• E) \(w = 1200 e ^ { t } - 1130 e ^ { - 0.9 t }\)

---

Definitions:

Professors' Salaries

The remuneration paid to academic teaching staff, which may vary based on rank, experience, and the type of institution.

Price Ceiling

A legal maximum price that can be charged for a good or service.

Equilibrium Price

The price level where the amount of products provided matches the amount of products customers want to buy.

Equilibrium Price

The price at which the quantity of a product offered for sale matches the quantity that buyers are willing to buy, leading to a stable market condition.