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et l2 be the same region as in part (2). Write this region in the form 12 = {(z, y) : e

et l2 be the same region as in part (2). Write this region in the form 12 = {(z, y) : e

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 21RE
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Plz solve correctly part 3 only plz correctly and take a thumb up plz
Numeracy 4. Some regions 2 in R2 can be written down by describing the functions which form their boundaries. For example, the set = {(r,y) : -1<I<2,-1-rSy s1-r²} is drawn below: y = 1-r y = -1-r I=1 Hence, if z = 1 (as shown in the diagram) then the set describes all possible y-values between -1-r = -1-(1) = -2 and 1- z = 1- (1)² = 0. 1. Draw the region = {(r, y) : 0 <*<1:1-rSy<2-(*- 1)²} u {(z, y) : 1<*< 2:1-1<y52-(*-1)*} No explanation is required. 2. Let 2, be the region bounded by the curves y = r|r| and y = r. Write this region in the form N2 = {(r, y) : a <Isb: f(r) <y Sg(z)} for some choice of functions f and g. Note: You may need to break your region into multiple parts and take unions. 3. et 2 be the same region as in part (2). Write this region in the form N = {(r, y) : c<y <d: a(y) << B(u)} for some choice of functions a and 8. Note: You may need to break your region into multiple parts and take unions.
Transcribed Image Text:Numeracy 4. Some regions 2 in R2 can be written down by describing the functions which form their boundaries. For example, the set = {(r,y) : -1<I<2,-1-rSy s1-r²} is drawn below: y = 1-r y = -1-r I=1 Hence, if z = 1 (as shown in the diagram) then the set describes all possible y-values between -1-r = -1-(1) = -2 and 1- z = 1- (1)² = 0. 1. Draw the region = {(r, y) : 0 <*<1:1-rSy<2-(*- 1)²} u {(z, y) : 1<*< 2:1-1<y52-(*-1)*} No explanation is required. 2. Let 2, be the region bounded by the curves y = r|r| and y = r. Write this region in the form N2 = {(r, y) : a <Isb: f(r) <y Sg(z)} for some choice of functions f and g. Note: You may need to break your region into multiple parts and take unions. 3. et 2 be the same region as in part (2). Write this region in the form N = {(r, y) : c<y <d: a(y) << B(u)} for some choice of functions a and 8. Note: You may need to break your region into multiple parts and take unions.
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