a) A Particle is moving along a hyperbol sec XY = 18 As it reaches the point (6,3), the Y- coordinate is decreasing at a rate of 6 CM How fast is the x-coordinate of the Point Changing at that instante

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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1) related rate probem
a) A Particle is moving along a hyperbol
XY = 18. As it reaches the point (6, 3), the
Y- coordinate is decreasing at a rate of 6 se
How fast is the x-coordinate of the
Point Changing at that instant.
b) A water tank has the shape of
inverted circular cone with base radius 2 meters.
and height 8 meters. If water is being pumped into
meters per minute
at a rate of 3 cubic meters
Find the rate at which the water level is rising
the tank
the water is 5 meters deep.
when
volume of a cone is v=
-r²h
Transcribed Image Text:1) related rate probem a) A Particle is moving along a hyperbol XY = 18. As it reaches the point (6, 3), the Y- coordinate is decreasing at a rate of 6 se How fast is the x-coordinate of the Point Changing at that instant. b) A water tank has the shape of inverted circular cone with base radius 2 meters. and height 8 meters. If water is being pumped into meters per minute at a rate of 3 cubic meters Find the rate at which the water level is rising the tank the water is 5 meters deep. when volume of a cone is v= -r²h
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