(x(t), y(t)) = (2 cos(t), 1+ sin(t)). 2. Answer the following questions about the curve given parametrically by (x(t), y(t)) = (t – 12 t + 1, 4 t+2t). 2.1. What is an equation for the tangent line at t= 0? 2.2. Determine the points, x and y coordinates, on this curve with horizontal tangents. 2.3. Determine the points, x and y coordinates, on this curve with vertical tangents. nrian coordinates (x, y) = (-V3, -1

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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(x(t), y(t)) = (2 cos(t), 1+ sin(t)).
2. Answer the following questions about the curve given parametrically by (x(t), y(t)) = (t° – 12 t + 1, 4 t+2t).
2.1. What is an equation for the tangent line at t = 0?
2.2. Determine the points, x and y coordinates, on this curve with horizontal tangents.
2.3. Determine the points, x and y coordinates, on this curve with vertical tangents.
noint with Carteşian coordinates (x, y) = (-V3, -1
Transcribed Image Text:(x(t), y(t)) = (2 cos(t), 1+ sin(t)). 2. Answer the following questions about the curve given parametrically by (x(t), y(t)) = (t° – 12 t + 1, 4 t+2t). 2.1. What is an equation for the tangent line at t = 0? 2.2. Determine the points, x and y coordinates, on this curve with horizontal tangents. 2.3. Determine the points, x and y coordinates, on this curve with vertical tangents. noint with Carteşian coordinates (x, y) = (-V3, -1
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