1 Use linear approximation, i.e. the tangent line, to approximate as follows: Let f(æ) 0.202 and find the equation of the tangent line to f(x) at a "nice" point near 0.202. Then use this to 1 approximate 0.202

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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1
Use linear approximation, i.e. the tangent line, to approximate
as follows: Let f(æ)
0.202
and find the equation of the tangent line to f(x) at a "nice" point near 0.202. Then use this to
1
approximate
0.202
Transcribed Image Text:1 Use linear approximation, i.e. the tangent line, to approximate as follows: Let f(æ) 0.202 and find the equation of the tangent line to f(x) at a "nice" point near 0.202. Then use this to 1 approximate 0.202
Gravel is being dumped from a conveyor belt at a rate of 50 cubic feet per minute. It forms a pile in
the shape of a right circular cone whose base diameter and height are always equal. How fast is the
height of the pile increasing when the pile is 21 feet high?
Recall that the volume of a right circular cone with height h and radius of the base r is given by
1
v = r'h
3
ft
0.0606060606
min
Transcribed Image Text:Gravel is being dumped from a conveyor belt at a rate of 50 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 21 feet high? Recall that the volume of a right circular cone with height h and radius of the base r is given by 1 v = r'h 3 ft 0.0606060606 min
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