Find the Unit Tangent Vector of the Given Curve $T = \frac { 2 } { 3 } \mathbf { i } - \frac { 2 } { 3 } j - \frac { 1 } { 3 } \mathbf { k }$

question 28

Multiple Choice

Find the unit tangent vector of the given curve.
-r(t) = (10 - 2t) i + (2t - 3) j + (10 + t) k

• A) \(T = \frac { 2 } { 3 } \mathbf { i } - \frac { 2 } { 3 } j - \frac { 1 } { 3 } \mathbf { k }\)
• B) \(\mathrm { T } = - \frac { 2 } { 3 } \mathrm { i } + \frac { 2 } { 3 } \mathrm { j } + \frac { 1 } { 3 } \mathbf { k }\)
• C) \(T = \frac { 2 } { 9 } \mathbf { i } - \frac { 2 } { 9 } \mathbf { j } - \frac { 1 } { 9 } \mathbf { k }\)
• D) \(T = - \frac { 2 } { 9 } i + \frac { 2 } { 9 } j + \frac { 1 } { 9 } k\)

Understand the concept of robust product design.

Grasp the principles and practices of risk management and failure tolerance in new product development.

Understand and apply various capital budgeting techniques including Net Present Value (NPV), Internal Rate of Return (IRR), Profitability Index (PI), and Payback Period.

Explain the concepts of cash flow estimation and its importance in the capital budgeting process.

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