Sections 11.1-11.2

# Sections 11.1-11.2 - 4 t t y t x = = For which values of t...

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Math 3BH – Castroconde Name: In-class Worksheet (11.1-11.2) I.D.#: 1. Sketch the parametric curve C: π 2 0 , cos , cos 2 - = = t t t y t x by plotting points. Indicate with an arrow the direction in which C is traced as t increases. 2. Eliminate the parameter to find a Cartesian equation for the parametric curve C: t t e y e x - = = , . 3. Find an equation for the line tangent to the parametric curve t t y t x - = + = 3 3 1 2 , 1 2 at the point corresponding to t = 3 . 4. Find 2 2 dx y d if 3 2 2 ,

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Unformatted text preview: 4 t t y t x + = + = . For which values of t is the curve concave upward? 5. Find the length of the curve 3 , 2 5 , ≤ ≤-= + =-t t y e e x t t 6. Let t y t x 2 sin , cos 2 = = . Find the points on the curve where the tangent is horizontal or vertical. 7. Find the area of the surface obtained by rotating the curve 5 , 2 , 3 3 2 ≤ ≤ = = t t y t x , about the y-axis....
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Sections 11.1-11.2 - 4 t t y t x = = For which values of t...

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