Calculus

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HW 6

Before working these problems, please read the file “Notes on Chapter 11-4 and 11-5” in the Module “Chapter 11” and section 11.4-5 in the text.

Work all problems in detail showing all steps of logic and mathematics. Please bracket the final answer when appropriate.

Section 11.4 p. 688-9

[30 points each] Symmetries and Polar Graphs For #2 and 6 Give the algebraic details for symmetry. Use polar graph paper showing proper scale. Plot at least 8 widely distributed points all marked with coordinates listed on the points or in a table. #2 #6 [Be careful, #6 does a loop-de-loop], give all points where the curve hits the x-axis.

[20 points each] Slopes of Polar Curves in the xy-Plane #18, same rules as #2 for the plotting

Section 11.5 p. 693

[10 points each] Finding Polar Areas #2 , 6 Show all details including the setup integral. You can use formula T-3 #65 and 66.

Finding Lengths of Polar Curves #22 Show all details including the setup integral.

#29 Show full details {don’t forgot the product rule]