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Chapter 11: Q. 21 (page 860)

In Exercises 19鈥�21 sketch the graph of a vector-valued function r(t)=x(t),y(t) with the specified properties. Be sure to indicate the direction of increasing values oft.

Domain

t鈭�鈩�,r2=1,1,r0=-3,3,r-2=-5,-5limt鈫�-鈭�x(t)=鈭�,limt鈫�-鈭�y(t)=-鈭�,andlimt鈫�鈭�r(t)=0,0.

Short Answer

Expert verified

The graph of the given vector-valued function with the specified properties is

Step by step solution

01

Step 1. Given Information. 

The given vector-valued function is r(t)=x(t),y(t).The given specified properties are t鈭�鈩�,r2=1,1,r0=-3,3,r-2=-5,-5limt鈫�-鈭�x(t)=鈭�,

limt鈫�-鈭�y(t)=-鈭�,andlimt鈫�鈭�r(t)=0,0.

02

Step 2. Sketch the graph. 

The graph of the given vector-valued function with the specified properties is

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