Find Parametric Equations for the Tangent Line to the Curve $x = 3 t$

question 36

Multiple Choice

Find parametric equations for the tangent line to the curve with parametric equations $x = 3 t$ , $y = 5 t ^ { 2 } , z = 4 t ^ { 3 }$ at the point with $t = 1$ .

• A) \(x = 1 + 3 t , y = 1 + 10 t , z = 1 + 12 t\)
• B) \(x = 3 + 3 t , y = 5 + 10 t , z = 4 + 12 t\)
• C) \(x = 1 + 3 t , y = 1 + 5 t , z = 1 + 4 t\)
• D) \(x = 3 + 3 t , y = 5 + 5 t , z = 4 + 4 t\)

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Definitions:

Portfolio

A selection of monetary assets, covering equities, fixed-income securities, commodity holdings, liquid assets, and assets nearing cash, containing mutual funds and Exchange-Traded Funds.

Stocks

Shares representing ownership interests in corporations, allowing investors to claim on businesses' assets and earnings.

Variance

The average of the squared differences from the mean, providing a measure of how spread out numbers are.

Binomial Distribution

The binomial distribution is a probability distribution that summarizes the likelihood of obtaining a fixed number of successes in a fixed number of trials with a specific probability of success in each trial.