   Chapter 10.2, Problem 55E

Chapter
Section
Textbook Problem

# (a) Graph the epitrochoid with equations x = 11   cos t − 4   cos ( 11 t / 2 ) y = 11   sin t − 4   sin ( 11 t / 2 ) What parameter interval gives the complete curve? (b) Use your CAS to find the approximate length of this curve.

(a)

To determine

To Graph: The epitrochoid for the parametric equation x=11cost4cos(11t2) and y=11sint4sin(11t2), then find the parameter interval.

Explanation

Given:

The parametric equation for the variable x is as below.

x=11cost4cos(11t2) (1)

The parametric equation for the variable y is as below.

y=11sint4sin(11t2) (2)

Calculation:

Substitute (0) for t in equation (1).

x=11cost4cos(11t2)=11cos(0)4cos(11(0)2)=114=7

Substitute (0) for t in equation (1)

(b)

To determine

To find: The approximate length of the curve for the parametric equation x=11cost4cos(11t2) and y=11sint4sin(11t2).

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