Compute the Length of the Given Vector $p ( t ) = 3 t + 4$

question 5

Multiple Choice

Compute the length of the given vector.
- $p ( t ) = 3 t + 4$ and $q ( t ) = 4 t - 5$ , where $t _ { 0 } = 0 , t _ { 1 } = 1 , t _ { 2 } = 2$

• A) \(\| \mathrm { p } \| = \sqrt { 153 } ; \| \mathrm { q } \| = \sqrt { 195 }\)
• B) \(\| \mathrm { p } \| = \sqrt { 165 } ; \| \mathrm { q } \| = \sqrt { 35 }\)
• C) \(\| \mathrm { p } \| = \sqrt { 165 } ; \| \mathrm { q } \| = \sqrt { 145 }\)
• D) \(\| \mathrm { p } \| = \sqrt { - 133 } ; \| \mathrm { q } \| = \sqrt { 15 }\)

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Definitions:

Cardiac Cycle

The sequence of events in the heart during one heartbeat, including contraction and relaxation phases.

Pulse Pressure

The difference between the systolic and diastolic blood pressure readings, indicating the force that the heart generates each time it contracts.

Palpated Blood Pressure

A technique for measuring blood pressure by feeling (palpating) the pulse while gradually deflating a blood pressure cuff, usually to estimate systolic blood pressure.

Auscultated Blood Pressure

The process of listening to the sounds of the blood flow using a stethoscope to measure blood pressure.