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Show Math Your Work! Good Luck!
(4) 1.
April 9, 2007 Quiz 2 A
r 2 1
Fig. 2 shows the rectangular coordinate graph of r = r(). Sketch the polar coordinate graph of r = r().
Name __________________________ please print !/2 2 !/4 r = r(!)
! 2!
! 1
!
2
0
Fig. 1
(3) 2.
Fig. 2 shows the polar coordinate graph of r = r(). Use the graph to answer the questions about the values of the various derivatives. (circle the correct word)
!/2
dx At A, d is POS NEG ZERO UNDEFINED dr At B, d is POS NEG ZERO UNDEFINED dy At d C, x is POS NEG ZERO UNDEFINED 3.
(3) (3)
B
C A
Fig. 2
0
Calculate
dx and the slope of the line tangent to r(" ) = 2 + sin(" ) when " = 0.8 d"
!
dx d = ____________ (number)slope = ___________ (number)
!
!
4.
Fig. 4 shows part the graph of the petal r() = sin(2). (a) Represent the s...