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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

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

Advanced Engineering Mathematics
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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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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