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Unformatted text preview: Math 1432 Think: On each row place a letter that can be substituted for the center letter of the words either side to form another word in each case. When completed, a word will be read downwards. What is it? Section 9.6 Curves given Parametrically Give an equation relating x and y. 1. x(t) = sin t y(t) = 1 + cos t 2. x(t) = 3 + 2 cos t y(t) = –1 + sin t 1. Give a parameterization for the line segment from (–5, 8) to (1, 3). 2. Find a parametrization for a circle with center (1, 5) and radius 7. Section 9.7 Tangents to curves given parametrically Find an equation in x and y for the line tangent (or normal) to the curve. 1. x(t) = 2 – 3 cos t y(t) = 3 + 2 sin t at t = π /4 dy dy dt dx dx dt = 2. Find points of horizontal and vertical tangency. x(t) = t 2 y(t) = t 3 – 3t 3. Give an equation for the normal line to the graph of x = sin t, y = 2 + cos 2t at the point where t = π /6. 4. Give an equation for the line tangent to the polar curve r = 2 cos θ at the point where θ = π /3. POPPER Assignment 22 1. Give the GLB for n 1 2n 1 n 2 ∞ =  + a. 0 b. –1 c. –2 d. –3 e. none of these 2. Find the least upper bound (if it exists) and the greatest lower...
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 Spring '08
 morgan
 Math, Order theory, b. decreasing c.

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