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52. (a) Given 3y² – xy+x 3. By using implicit differentiation, dy 8 (i) find the value of at x=1. dx 15 d'y dy (ii) show that (6y-x)+6 dy +2=0 dx dx dx (b) Consider the parametric equations x 3t-=, y= 3t + dy 4 (i) show that =1- dx 31² +2 d'y where x=1. dx² 24 (12/13) 125 (ii) find

52. (a) Given 3y² – xy+x 3. By using implicit differentiation, dy 8 (i) find the value of at x=1. dx 15 d'y dy (ii) show that (6y-x)+6 dy +2=0 dx dx dx (b) Consider the parametric equations x 3t-=, y= 3t + dy 4 (i) show that =1- dx 31² +2 d'y where x=1. dx² 24 (12/13) 125 (ii) find

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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52. (a) Given 3y² – xy+ x 3. By using implicit differentiation, (i) find the value of dy at x=1. dx 15 (ii) show that (6y-x) +6 dy dx dy +2=0 dx dx? 2 (b) Consider the parametric equations x 3t-, y= 3t+ where t#0. dy 4 (i) show that =D1 dx 31 +2 d'y where x 1. dx 24 (12/13) 125 (ii) find
Transcribed Image Text:52. (a) Given 3y² – xy+ x 3. By using implicit differentiation, (i) find the value of dy at x=1. dx 15 (ii) show that (6y-x) +6 dy dx dy +2=0 dx dx? 2 (b) Consider the parametric equations x 3t-, y= 3t+ where t#0. dy 4 (i) show that =D1 dx 31 +2 d'y where x 1. dx 24 (12/13) 125 (ii) find
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