For questions 10-12 consider: The volume of a frustum of a cone is given by the formula V= (x² where x is the radius of the smaller circle, y is the radius of the larger circle, and z is the height of the frustum (see figure) The rate of change of the volume is determined using av (i) AV = Ax +- av -Ay +~Az dV ôV dx ôV dy , ôV dz (ii) dt ôx dt ôy dtôz dt av 11. The rate of change of the volume of this frustum when x increases at a rate of a cm/s,y decreases at a rate of b cm/s and z remains constant is 12. The rate of change of the volume of this frustum in terms of t, a and b when X= 2 cm, v=2 cm and z=3 cm is

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 68E
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For questions 10-12 consider:
The volume of a frustum of a cone is given by the formula
V=
+ XV
where x is the radius of the smaller circle, y is the radius of the larger circle, and z is the
height of the frustum (see figure)
10.
The rate of change of the volume is determined using
dV ôv dx , ôV dy .
(ii)
dt
av
(i) AV =
av dz
-Ax +
av
Ду +
av
Az
+
дх dt
ôy dt
ôz dt
The rate of change of the volume of this frustum when x increases at a rate of
a cm/s, y decreases at a rate of b cm/s and z remains constant is
11.
12.
The rate of change of the volume of this frustum in terms of t, a and b when
x= 2 cm, y =2 cm and z=3 cm is
Transcribed Image Text:For questions 10-12 consider: The volume of a frustum of a cone is given by the formula V= + XV where x is the radius of the smaller circle, y is the radius of the larger circle, and z is the height of the frustum (see figure) 10. The rate of change of the volume is determined using dV ôv dx , ôV dy . (ii) dt av (i) AV = av dz -Ax + av Ду + av Az + дх dt ôy dt ôz dt The rate of change of the volume of this frustum when x increases at a rate of a cm/s, y decreases at a rate of b cm/s and z remains constant is 11. 12. The rate of change of the volume of this frustum in terms of t, a and b when x= 2 cm, y =2 cm and z=3 cm is
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