a) A curve has equation e3x. i) Find dx — e2x e3ye-2y = 3 in terms of x and y. ii) Find the equation of the normal to the curve at the point (In 2, 0). Give your answer in the form px + qy - Inr=0 where p, q and r are integers.

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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a)
A curve has equation e3x - e2x e3y - e-2y = 3
b)
i) Find
dx
in terms of x and y.
ii) Find the equation of the normal to the curve at the point (In 2, 0).
Give your answer in the form px + qy - Inr=0 where p, q and r are
integers.
Another curve has equation y =
i) Use the Quotient Rule to find
ii) Show that the curve y =
2x + 3
3x
2
1
dy
dx
2x + 3
3x
2
-
has no stationary values.
Transcribed Image Text:a) A curve has equation e3x - e2x e3y - e-2y = 3 b) i) Find dx in terms of x and y. ii) Find the equation of the normal to the curve at the point (In 2, 0). Give your answer in the form px + qy - Inr=0 where p, q and r are integers. Another curve has equation y = i) Use the Quotient Rule to find ii) Show that the curve y = 2x + 3 3x 2 1 dy dx 2x + 3 3x 2 - has no stationary values.
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