Two Sides of a Triangle Are 2 M and 3 $0.07$

question 37

Multiple Choice

Two sides of a triangle are 2 m and 3 m in length and the angle between them is increasing at a rate of $0.07$ rad/s. Find the rate at which the area of the triangle is increasing when the
Angle between the sides of fixed length is ( $\frac{\pi}{3}$ )

• A) \(-0.955 \mathrm{~m}^{2} / \mathrm{s}\)
• B) \(1.145 \mathrm{~m}^{2} / \mathrm{s}\)
• C) \(-1.955 \mathrm{~m}^{2} / \mathrm{s}\)
• D) \(0.105 \mathrm{~m}^{2} / \mathrm{s}\)
• E) \(5.045 \mathrm{~m}^{2} / \mathrm{s}\)

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Definitions:

Synapse

The junction between two neurons or between a neuron and a muscle where communication occurs through neurotransmitter release.

Chloride Channels

Chloride channels are membrane proteins that allow the passive movement of chloride ions across cell membranes, influencing various physiological processes.

Sodium Channels

Integral membrane proteins that allow sodium ions to pass through the cell membrane, essential for the generation and transmission of electrical signals in neurons and muscle cells.