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(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

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 2ECP
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Please review and solve problem 6 part 'a', 'b', and 'c' and explain how the answer was found. Problem will be attached to this request.

(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
Transcribed Image Text:(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
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