MAT135H1 Lecture Notes - Lecture 25: Implicit Function, Searchlight, Pythagorean Theorem

• School: UTSG
• Department: Mathematics
• Course: MAT135H1
• Professor: Dimitri Chouchkov

Document Summary

Mat135 - lecture 25 - related rates part two. Read sections 3. 8 and 3. 9 from the textbook. The main steps to most related rates problems: Differentiate the equations in step 2 (i. e. obtain related rates) A man walks along a wall at 2 m/s. A searchlight is located on the ground 10 m from the wall and is kept focused on the man. The distance between point q to point p, line pq. The angle between line op and line oq. From the fact that the man is walking along a wall at 2 m/s, we know that the slope is 2; dx dt. We want to find out the rate of which the searchlight is rotating when the man is 6 m away from the point on the wall closest to the searchlight; we want to find d dt. Relate variables in one or more questions. Tan = / 10 *