(6.) Consider the curve shown below whose graph is given by the parametric equations: term. x(t) = sin(2t), y(t) = t² -1, 0 ≤t ≤T (a. (a. 5 pts) Label the initial and terminal points of the graph. See graph Finit. Determine all values of t corresponding to horizontal tangents. dy-28-1 म == t=글 += (2K+1)77 = 17317 4 454, (b. Determine all values of t corresponding to vertical tangents. dx = 2000(2t) dt 2+= 247 (21+1)77 K = 0, 1, ~~ (c. Set up the definite integral that gives the length of the curve given by the equations. You do not have to evaluate. L= ) 4 coo²²+) + 4+ ²-4++1 dt

(6.) Consider the curve shown below whose graph is given by the parametric equations: term. x(t) = sin(2t), y(t) = t² -1, 0 ≤t ≤T (a. (a. 5 pts) Label the initial and terminal points of the graph. See graph Finit. Determine all values of t corresponding to horizontal tangents. dy-28-1 म == t=글 += (2K+1)77 = 17317 4 454, (b. Determine all values of t corresponding to vertical tangents. dx = 2000(2t) dt 2+= 247 (21+1)77 K = 0, 1, ~~ (c. Set up the definite integral that gives the length of the curve given by the equations. You do not have to evaluate. L= ) 4 coo²²+) + 4+ ²-4++1 dt

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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