MATH 100 Lecture 8: Week 8 - Application of Derivatives and Taylor Polynomials

• School: UBC
• Department: Mathematics
• Course: MATH 100
• Professor: Dragos Ghioca

Document Summary

A man 6 ft. tall is walking at constant speed of 5ft. s away from a lamp post which is 20 ft. high. At what rate is the length of the man"s shadow changing when he"s 15 ft. away from the lamp post? (hint: draw a triangle) A reservoir in the shape of an inverted cone with height 60 m and radius at the top 15 m is filled with water at a rate of 2 m2/s. What is the rate of change of the height of water in the tank when the height of water is 16 m. (hint: draw a cone) Particle a is moving with constant speed of 5 units/minute on the x-axis, starting at the point with coordinates (3,0) and moving away from the origin. Particle b is moving on the y-axis with constant speed of 2 units/minute, starting at the point with coordinates (0,31) and moving towards the origin.