MATH 1022 EXAM 3 QUESTIONS WITH VERIFIED
ACCURATE ANSWERS
which of the following statements is not a valid strategy when converting an equation
from polar form to rectangular form? - Answers - multiply both sides of the polar
equation by r^2 then substitute sin^2theta +cos^2theta for r^2
if the equation of the form r= a+bcostheta graph symmetric about the line _ - Answers -
theta = 0
if the equation of the form r= a t bsintheta, then the graph must be symmetric about the
line _ - Answers - theta = pi/2
the endpoints of the two loops of lemniscates of the form r^2= a^2sin2theta occur when
___ - Answers - theta= pi/4 and theta= 5pi/4
the endpoints of the two loops of lemniscates of the form r^2=a^2cos2theta occur when
__ - Answers - theta= 0 and theta= pi
r= a + bsinθ if |a/b| <1 - Answers - limacon with an inner loop
r= a +bcosθ if |a/b| = 1 - Answers - cardioid
if 1 < |a/b| < 2 - Answers - limacon with a dimple
if |a/b| > or equal to 2 - Answers - limacon with no inner loop or dimple
r= asin (nθ) or r= acos (nθ) if n is oddthe rose has _ petals - Answers - n
r= a sin (nθ) or r=acos (nθ) if n is even, the rose has __ petals - Answers - 2n
sin= - Answers - y/r
cos= - Answers - x/r
tan= - Answers - y/x or sin/cos
csc= - Answers - r/y
sec= - Answers - r/x
cot= - Answers - x/y
ACCURATE ANSWERS
which of the following statements is not a valid strategy when converting an equation
from polar form to rectangular form? - Answers - multiply both sides of the polar
equation by r^2 then substitute sin^2theta +cos^2theta for r^2
if the equation of the form r= a+bcostheta graph symmetric about the line _ - Answers -
theta = 0
if the equation of the form r= a t bsintheta, then the graph must be symmetric about the
line _ - Answers - theta = pi/2
the endpoints of the two loops of lemniscates of the form r^2= a^2sin2theta occur when
___ - Answers - theta= pi/4 and theta= 5pi/4
the endpoints of the two loops of lemniscates of the form r^2=a^2cos2theta occur when
__ - Answers - theta= 0 and theta= pi
r= a + bsinθ if |a/b| <1 - Answers - limacon with an inner loop
r= a +bcosθ if |a/b| = 1 - Answers - cardioid
if 1 < |a/b| < 2 - Answers - limacon with a dimple
if |a/b| > or equal to 2 - Answers - limacon with no inner loop or dimple
r= asin (nθ) or r= acos (nθ) if n is oddthe rose has _ petals - Answers - n
r= a sin (nθ) or r=acos (nθ) if n is even, the rose has __ petals - Answers - 2n
sin= - Answers - y/r
cos= - Answers - x/r
tan= - Answers - y/x or sin/cos
csc= - Answers - r/y
sec= - Answers - r/x
cot= - Answers - x/y
