For the Curve R(t), Find an Equation for the Indicated

question 117

Multiple Choice

For the curve r(t) , find an equation for the indicated plane at the given value of t.
- $\mathbf { r } ( \mathrm { t } ) = ( \mathrm { t } + 6 ) \mathbf { i } + ( \ln ( \cos \mathrm { t } ) - 8 ) \mathbf { j } + 7 \mathbf { k } , - \pi / 2 < \mathrm { t } < \pi \cdot 2 ;$ rectifying plane $\mathrm { at } \mathrm {} \mathrm { t } = \frac { \pi } { 4 }$ .

• A) \(\frac { \sqrt { 2 } } { 2 } \left( x - \left( \frac { \pi } { 4 } + 6 \right) \right) - \frac { \sqrt { 2 } } { 2 } \left( y - \left( \ln \left( \frac { \sqrt { 2 } } { 2 } \right) - 8 \right) \right) = 0\)
• B) \(- \frac { \sqrt { 2 } } { 2 } \left( x - \left( \frac { \pi } { 4 } + 6 \right) \right) + \frac { \sqrt { 2 } } { 2 } \left( y - \left( \ln \left( \frac { \sqrt { 2 } } { 2 } \right) - 8 \right) \right) = 0\)
• C) \(\frac { \sqrt { 2 } } { 2 } ( x - ( 1 + 6 ) ) = 0\)
• D) \(\left. \frac { \sqrt { 2 } } { 2 } \left( x - \left( \frac { \pi } { 4 } + 6 \right) \right) \right) ^ { \prime } + \frac { \sqrt { 2 } } { 2 } \left( y - \left( \ln \left( \frac { \sqrt { 2 } } { 2 } \right) - 8 \right) \right) = 0\)

Explain the significance of overlearning in mastering lifesaving skills.

Evaluate the benefits of internally developed training programs.

Determine the effective use of training objectives in connecting needs analysis to training programs.

Understand the key distinctions and characteristics of different venture growth stages.

---

Definitions:

Interstate Commerce Clause

A provision in the U.S. Constitution granting Congress the power to regulate commerce between states.

Privileges and Immunities Clause

A provision in the United States Constitution that prevents a state from treating citizens of other states in a discriminatory manner.

Necessary and Proper Clause

A provision in the United States Constitution (Article I, Section 8) granting Congress the power to pass all laws considered necessary and proper for carrying out the enumerated list of powers.

U.S. Constitution

The supreme law of the United States that outlines the national frame of government and the fundamental rights of its citizens.