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Multivariable Calculus

8th Edition
James Stewart
ISBN: 9781305266643
BuyFindarrow_forward

Multivariable Calculus

8th Edition
James Stewart
ISBN: 9781305266643
Textbook Problem

  1. (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?

  1. (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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P-52RECh-10 P-53RECh-10 P-54RECh-10 P-55RECh-10 P-56RECh-10 P-57RECh-10 P-58RECh-10 P-1PCh-10 P-2PCh-10 P-3PCh-10 P-4PCh-10 P-5PCh-10 P-6P

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