Find the Length of the Curve $$x = 3 t ^ { 2 } + 8 , y = 2 t ^ { 3 } + 8,0 \leq t \leq 1$$

question 82

Multiple Choice

Find the length of the curve. Select the correct answer.
$$x = 3 t ^ { 2 } + 8 , y = 2 t ^ { 3 } + 8,0 \leq t \leq 1$$

• A) \(2 \sqrt { 2 } - 2\)
• B) \(4 \sqrt { 2 }\)
• C) \(4 \sqrt { 2 } - 1\)
• D) \(4 \sqrt { 2 } - 2\)
• E) None of these

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Definitions:

Equilibrium Price

The price at which quantity demand is equal to quantity supplied.

Inflation

The rate at which the general level of prices for goods and services rises, eroding purchasing power over time.

High Interest Rates

A condition in the financial market where the cost of borrowing money is elevated, usually due to high inflation, increased demand for credit, or tight monetary policy.

Capital Item

Long-term assets or investments used in the production of goods and services, such as buildings, machinery, and equipment.