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)
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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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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