x = Vt y = 1+ t2 1.. Given: a) Find the domain of the parametric equation b) transform to a Cartesian equation c) Sketch the graph and indicate the orientation d'y and dx2 dy d) Determine dx (parametrically) e) Find the equation of the tangent line to the curve at t = 4

Calculus: Early Transcendentals
8th Edition
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 = VE
y = 1 +t2
1.. Given:
a) Find the domain of the parametric equation
%3D
b) transform to a Cartesian equation
c) Sketch the graph and indicate the orientation
dy
d) Determine
dx
d'y
and
dx?
(parametrically)
e) Find the equation of the tangent line to the curve at t= 4.
Transcribed Image Text:x = VE y = 1 +t2 1.. Given: a) Find the domain of the parametric equation %3D b) transform to a Cartesian equation c) Sketch the graph and indicate the orientation dy d) Determine dx d'y and dx? (parametrically) e) Find the equation of the tangent line to the curve at t= 4.
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