MATH114 Lecture 22: Slides - Week 13 - Tuesday - Annotated.pdf

• School: University of Alberta
• Department: Mathematics
• Course: MATH114
• Professor: Vincent Bouchard

Document Summary

Practice with substitutions in integrals if this is new to you. Don"t forget area problems (vertical vs horizontal slicing) and curve sketching problems! Use the ivt to show that there is a c such that f (c) = 3. Show that the function f (x) = 2x + cos(x) has exactly one real root. A street light is mounted at the top of a 15 ft tall pole. A man 6 ft tall walks away from the pole with a speed of 5 ft/s along a straight path. If the optimization is not on a closed interval, or your function is not continuous, then you may need to be more careful and analyze the function in more detail. You can nd the local min or max, and then using properties of the function determine where are the absolute min or max.