MAT 1320 Lecture 22: mat1320E-2018-notes22-filled-in

• School: University of Ottawa
• Department: Mathematics
• Course: MAT 1320
• Professor: Kirill Zaynullin

Document Summary

Nd critical numbers using f 00 nd ip candidates using all sketch the graph of f. Nd asymptotes: horizontal/vertical classify extrema: local min/max locate in ection points determine behaviour: increasing/decreasing determine curvature: concave up/concave down label: intercepts, asymptotes, extrema, and in ection points. Find two positive numbers whose sum is 20 and whose product is a maximum: we want numbers. Pk )= ( 20 x ) forxe ( 0,20. These notes are solely for the personal use of students registered in mat1320; their creator does not give permission for this material to be uploaded or shared online. Find two positive numbers whose product is 100 and whose sum is a minimum. e. Osuchtnatxytlooandxtyis minimized e. thesumisafunctionoftwo variables usexyetootoisolatonevariable y= 10 1 sums. Find the dimensions of a cylindrical can of volume v so that the can"s surface area is minimized. r. Now area can be written as a function of r. 21t intervals ( 93ft (tee , a) sign,hof.