# Assignment1 - 2 : x = 2 t, y = t 2 , t R . Find all lines...

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MAT235-CALCULUS II, FALL 2010 ASSIGNMENT #1, due on October 4 Note: Only 3 out of the ﬁve problems will be graded. The choice of the problems to be graded will be random. Please write clearly your section number your last name and your ﬁrst name and your student number at the beginning of the assignment. Write the last name separately from the ﬁrst name and underline your last name. Problem 1 Consider the parametric curves C 1 : x = t 2 , y = t, t R and C
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Unformatted text preview: 2 : x = 2 t, y = t 2 , t R . Find all lines that are tangent to both of the parametric curves. Problem 2 Show that the arc length of r = sin 2 is greater than 8. Problem 3 Change ( x 2 + y 2 ) 2 = 9 y 2 to polar equation and sketch it. Problem 4 Sketch 3 x 2-6 x + 3-2 y 2 = 6 Problem 5 Find the area of the region that lies outside of r = cos 2 and inside of r = 1 2 between 6 3 . 1...
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## This note was uploaded on 11/08/2010 for the course MATH MAT235 taught by Professor Recio during the Spring '08 term at University of Toronto- Toronto.

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