For the parametric curves x(t) = 3 + 3 cos(t), y(t) = 6 – 3 sin(t), tE [0, 27), Part a: Give an equation relating x and y that represents the curve. Part b: Find the slope of the tangent line to the curve when t = e wa e Part c: State the points (x, y) where the tangent line is horizontal.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 3E
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For the parametric curves x(t) = 3 + 3 cos(t), y(t) = 6 – 3 sin(t), te [0, 2x).
Part a: Give an equation relating x and y that represents the curve.
Part b: Find the slope of the tangent line to the curve when t =
otuce was
CHero.com
Part c: State the points (x, y) where the tangent line is horizontal.
Transcribed Image Text:For the parametric curves x(t) = 3 + 3 cos(t), y(t) = 6 – 3 sin(t), te [0, 2x). Part a: Give an equation relating x and y that represents the curve. Part b: Find the slope of the tangent line to the curve when t = otuce was CHero.com Part c: State the points (x, y) where the tangent line is horizontal.
Part a: Find the 7th degree Taylor polynomial for f(x) = x³ e2* centered at x = 0.
Part b: Use your answer from part(a) to find f(5) (0).
Transcribed Image Text:Part a: Find the 7th degree Taylor polynomial for f(x) = x³ e2* centered at x = 0. Part b: Use your answer from part(a) to find f(5) (0).
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