Given f (x) = x^4– 6x + 2. By using second derivative test, estimate the critical number, concavity and relative maximum or minimum of the function. (c) Find equation of the tangent line to x^2+ 3xy + y^5 = 5 at [1,1].
Given f (x) = x^4– 6x + 2. By using second derivative test, estimate the critical number, concavity and relative maximum or minimum of the function. (c) Find equation of the tangent line to x^2+ 3xy + y^5 = 5 at [1,1].
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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a) FIGURE 2 (a) shows a conical filter. Suppose the liquid is to be cleared by allowing it to drain through a conical filter that is 16 cm high and has a radius of 4 cm at the top. The liquid if forced out of the cone at a constant rate of 2 cm^3/ min.
(i) Express the rate of change of the liquid depth.
(ii)Determine the rate of change of the liquid when the liquid in the cone is 8 cm deep.
b) Given f (x) = x^4– 6x + 2. By using second derivative test, estimate the critical number, concavity and relative maximum or minimum of the function.
(c) Find equation of the tangent line to x^2+ 3xy + y^5 = 5 at [1,1].
Transcribed Image Text:4cm
r
16 cm
y
FIGURE Q2(a)
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