Use implicit differentiation to solve the following related rate problems: (Include a properly labelled diagram as part of your solution.) #6. A student in Westdale's photography class is using a pinhole camera with a focal length of 20 cm to take a picture of a tree that is 6 m tall. If they start walking towards the tree at 2 m/s, how fast is the size of the image in the camera changing at the moment that they are 8 m away from the tree? (a) Sand is being dumped from a conveyor belt at a rate of 1.3 m/min. The sand forms a cone-shaped pile such that the diameter of the base is always ½ of the height of the pile. How fast is the height of the pile increasing when the pile is 3 m high? (Note: The volume of a cone is V = 7 r²h). (b)

Use implicit differentiation to solve the following related rate problems: (Include a properly labelled diagram as part of your solution.) #6. A student in Westdale's photography class is using a pinhole camera with a focal length of 20 cm to take a picture of a tree that is 6 m tall. If they start walking towards the tree at 2 m/s, how fast is the size of the image in the camera changing at the moment that they are 8 m away from the tree? (a) Sand is being dumped from a conveyor belt at a rate of 1.3 m/min. The sand forms a cone-shaped pile such that the diameter of the base is always ½ of the height of the pile. How fast is the height of the pile increasing when the pile is 3 m high? (Note: The volume of a cone is V = 7 r²h). (b)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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