Two Sides of a Triangle Are $2 \mathrm {~m}$ And $3 \mathrm {~m}$

question 4

Multiple Choice

Two sides of a triangle are $2 \mathrm {~m}$ and $3 \mathrm {~m}$ in length and the angle between them is increasing at a rate of $0.06 \mathrm { rad } / \mathrm { s }$ . Find the rate at which the area of the triangle is increasing when the angle between the sides of fixed length is $\frac { \pi } { 3 }$ .
Select the correct answer.

• A) \(1.145 \mathrm {~m} ^ { 2 } / \mathrm { s }\)
• B) \(- 0.955 \mathrm {~m} ^ { 2 } / \mathrm { s }\)
• C) \(0.090 \mathrm {~m} ^ { 2 } / \mathrm { s }\)
• D) \(5.045 \mathrm {~m} ^ { 2 } / \mathrm { s }\)
• E) \(- 1.955 \mathrm {~m} ^ { 2 } / \mathrm { s }\)

Explain the impact of changes in market price on the firm's production decisions and economic profits or losses.

Interpret graphical representations of firms’ costs, revenues, and profits to determine the optimal level of production and financial outcomes.

Understand the principles and effectiveness of psychological interventions following traumatic events.

Recognize the impact of personality and belief systems on the susceptibility and response to stress disorders.

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Definitions:

Active Transport

Carrier-mediated process that requires ATP and can move substances against a concentration gradient.

Glomerular Filtrate

The fluid that passes from the blood through the glomerular capillaries of the kidneys during the filtration process.

Plasma

The liquid component of blood, in which cells are suspended, consisting mostly of water, proteins, and dissolved substances.

Glomerular Capillary Pressure

The pressure within the capillaries of the glomeruli in the kidneys, essential for the filtration of blood to form urine.