{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Stitz-Zeager_College_Algebra_e-book

# 8 2 for the vectors v 3 4 and w 1 2 nd the following a

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: s of polar graphs. (a) For exercises 10(a)i and 10(a)ii below, let f (θ) = cos(θ) and g (θ) = 2 − sin(θ). i. Using a graphing utility, compare the graph of r = f (θ) to each of the graphs of π π r = f θ + π , r = f θ + 34 , r = f θ − π and r = f θ − 34 . Repeat this 4 4 process for g (θ). In general, how do you think the graph of r = f (θ + α) compares with the graph of r = f (θ)? ii. Using a graphing utility, compare the graph of r = f (θ) to each of the graphs of r = 2f (θ), r = 1 f (θ), r = −f (θ) and r = −3f (θ). Repeat this process for g (θ). 2 In general, how do you think the graph of r = k · f (θ) compares with the graph of r = f (θ)? (Does it matter if k > 0 or k < 0?) (b) In light of Exercise 9, how would the graph of r = f (−θ) compare with the graph of r = f (θ) for a generic function f ? What about the graphs of r = −f (θ) and r = f (θ)? What about r = f (θ) and r = f (π − θ)? Test out your conjectures using a variety of polar functions found in this section with the help of a graphing utility. 18 Rec...
View Full Document

{[ snackBarMessage ]}