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

question 58

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 $\frac { \pi } { 3 }$ .

• 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) \(- 1.955 \mathrm {~m} ^ { 2 } / \mathrm { s }\)

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Definitions:

Operating Activities

The day-to-day actions that are involved in running a business and generating revenue, such as selling products or services.

Indirect Method

In financial accounting, this method is used to prepare the cash flow statement, adjusting net income for changes in non-cash accounts to calculate cash flow from operating activities.

Operating Activities

Activities related directly to the production, sale, and delivery of a company's products and services, as reflected in its cash flow.

Cash Collected

The total amount of money received by a company from its various sources during a particular period, including sales, investments, and financing activities.