Solve the Problem $\frac { \mathrm { dP } } { \mathrm { dt } } = 3 \mathrm { t } ^ { 2 } + 2 \mathrm { t } + 6$

question 75

Multiple Choice

Solve the problem.
-After a new firm starts in business, it finds that its rate of profits (in hundreds of dollars per year) after t years of operation is given by $\frac { \mathrm { dP } } { \mathrm { dt } } = 3 \mathrm { t } ^ { 2 } + 2 \mathrm { t } + 6$ . Find the profit in year 7 of the operation.

• A) $14,600
• B) $36,100
• C) $42,000
• D) $28,800

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Definitions:

Calcium Ions

Positively charged calcium atoms that are crucial for many physiological processes including muscle contraction, nerve function, and blood clotting.

Troponin-Tropomyosin Complex

A protein complex involved in the regulation of muscle contraction in skeletal and heart muscles.

Sarcoplasmic Reticulum

A specialized type of smooth endoplasmic reticulum found in muscle cells, involved in the storage and release of calcium ions for muscle contraction.

Power Stroke

The phase in the cycle of a motor protein, such as myosin in muscle contraction, where force is generated and movement occurs.