Study Guides (248,410)
Mathematics (559)
MAT135H1 (86)
all (48)

# Sum Questions

2 Pages
132 Views

Department
Mathematics
Course
MAT135H1
Professor
All Professors
Semester
Summer

Description
Sum  Questions-­‐  optimization     Knowledge  Summary:     Similar  to  optimization  questions  (refer  to  Optimization  Knowledge  Summary),  but  here  we  are   looking  for  the  smallest  value  of  a  function  subject  to  some  kind  of  constraint.       Examples:     1) The  product  of  two  positive  numbers  is  25.    What  is  the  smallest  possible  value  of  their   sum?     ▯▯ 𝑥𝑦 = 25à  𝑦 = ▯ ,  put  this  into  𝑆 = 𝑥 + 𝑦     𝑆 = 𝑥 + 𝑦 = 𝑥 + ▯▯ ,  take  first  derivative:  𝑆 = 1 − ▯ ▯▯ ,  set  to  0  and  solve:   ▯ ▯ ▯    0 = 1 − ▯▯   ▯ ▯   = 1   ▯ ▯  25 = 𝑥   ▯                   𝑥 = 25 = 5   𝑆 = 𝑥 + ▯▯ = 5 + ▯▯ =10.    Therefore,  the  smallest  possible  value  of  their  sum  is  10.   ▯ ▯   Past  Test  Questions:     Year:  2002   Question:  11   The  product  of  two  positive  numbers  is  16.    What  is  the  smallest  possible  value  of  their  sum?
More Less

Related notes for MAT135H1
Me

OR

Join OneClass

Access over 10 million pages of study
documents for 1.3 million courses.

Join to view

OR

By registering, I agree to the Terms and Privacy Policies
Just a few more details

So we can recommend you notes for your school.