The Exact Length of the Parametric Curve $x = e ^ { t } \cos t , y = e ^ { t } \sin t , 0 \leq t \leq \frac { \pi } { 7 }$

question 34

True/False

The exact length of the parametric curve $x = e ^ { t } \cos t , y = e ^ { t } \sin t , 0 \leq t \leq \frac { \pi } { 7 }$ is $\sqrt { 2 } e ^ { x / 7 }$ .

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Definitions:

Mycorrhizal

Mycorrhizal relationships are symbiotic associations between fungi and the roots of plants, enhancing nutrient and water absorption.

Fibrous

Consisting of or characterized by fibers, often referring to a type of tissue in plants or the structure of certain muscle tissues in animals.

Haustoria

Specialized structures of parasitic plants or fungi that penetrate host tissues to extract water and nutrients.