Plz solve b part only 1. Clara the Calculus Cow has been tied to a silo by a rope just long enough to reach thepoint diametrically opposed to the point where she is tied. If she goes to the left of the siloshe can stand far away, while on the right she can only graze immediately next to the silo.a) Say the silo has radius r. Carefully draw the region that Clara can grazeLabel the length of the rope when directly above the point where the rope is tied, when therope is directly to the left of the silo, and when directly below the point where it is tied.The first part of the path traced by the taut rope (from the point where Clara is immediatelynext the silo to the point where she is directly above where the rope is tied) is called theinvolute of the cirele of radius r and has these parametric equations.1=r (cost + t sin t), y=r (sint -t cos t)b) Clara's rope traces the involute on the interval (0, ). Find the are length on this interval.

b)- The objective is to find the arc length in the interval 0,π.

Answered: b) Clara's rope traces the involute on…

Math

Calculus

b) Clara's rope traces the involute on the interval (0, ). Find the arc length on this interval.

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter11: Addition And Subtraction Of Decimal Fractions

Section: Chapter Questions

Problem 18A: Refer to the plate shown in Figure 117 and determine the following distances. All dimensions are in...

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Plz solve b part only

1. Clara the Calculus Cow has been tied to a silo by a rope just long enough to reach the
point diametrically opposed to the point where she is tied. If she goes to the left of the silo
she can stand far away, while on the right she can only graze immediately next to the silo.
a) Say the silo has radius r. Carefully draw the region that Clara can graze
Label the length of the rope when directly above the point where the rope is tied, when the
rope is directly to the left of the silo, and when directly below the point where it is tied.
The first part of the path traced by the taut rope (from the point where Clara is immediately
next the silo to the point where she is directly above where the rope is tied) is called the
involute of the cirele of radius r and has these parametric equations.
1=r (cost + t sin t), y=r (sint -t cos t)
b) Clara's rope traces the involute on the interval (0, ). Find the are length on this interval.

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