The gradient at any point (x, y) of a curve is given by dy-3x² +ax-36 where a is a constant. The curve passes through the points (1, -7) and (3,-5) Find the equation of the curve..

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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The gradient at any point (x, y) of a curve is given by
dy
2=3x² + ax-36
where a is a constant.
The curve passes through the points (1, -7) and (3,- 5)
Find the equation of the curve.
Transcribed Image Text:The gradient at any point (x, y) of a curve is given by dy 2=3x² + ax-36 where a is a constant. The curve passes through the points (1, -7) and (3,- 5) Find the equation of the curve.
S
Find
dx²
(ii) The curve has a minimum point P. Find the x-coordinate of P.
SHENDE
C
S
CO
VERNARE
2005
PEENR
GENER
Transcribed Image Text:S Find dx² (ii) The curve has a minimum point P. Find the x-coordinate of P. SHENDE C S CO VERNARE 2005 PEENR GENER
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