###### Upcoming Homework Section 4.4: Curve Sketching Section 4.5.

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OPTIMIZATION PROBLEMS Section 4.7 Homework 1. Find two numbers whose difference is 156 and whose product is a minimum. 2. A farmer wants to fence an area of 6 million square feet in a rectangular field and then divide it in half with a fence parallel to one of the sides of the rectangle. What should the lengths of the sides of the rectangular field be so as to minimize the cost of the fence?

When solving the problems for Section 4.5, draw the shearforce and bending-moment diagrams approximately to scale and label all critical ordinates, including the maximum and minimum values. Probs 4.5-1 through 4.5-10 are symbolic problems and Probs. 4.5-11 through 4.5-24 are numerical problems. The remaining problems (4.5-25 through 4.5-40) involve specialized topics, such as optimization.

Math 124 End of Week 9 Newsletter UPCOMING SCHEDULE: Friday: Section 4.5 (Curve Sketching) Monday: Section 4.7 (Optimization) Tuesday: Discuss optimization problems (bring homework questions.

Make sure you can doo ALL of the core problems in sections 4.3 through 4.7. Write up and hand in only the following problems: Section 4.1, problems 49 (use Maple to graph the function), 56. Section 4.2, problems 28, 32, 37 (use Maple for 37). Section 4.3 problems 34, 70, 78 (use calculator or Maple) Section 4.5 problems 6, 19 (do this by hand.

Access everything you need for James Stewart Calculus—from textbook supplements, to web resources and homework hints. Stewart Calculus Textbooks and Online Course Materials CALCULUS 7E.

Section 4.1 - Maxima and Minima; Section 4.2 - What Derivatives Tell Us; Section 4.3 - Graphing Functions; Section 4.4 - Optimization Problems; Section 4.5 - Linear Approximation and Differentials; Section 4.7 - L'Hopital's Rule; Section 4.8 - Antiderivatives.

WORKSHEET ON OPTIMIZATION Work the following on notebook paper. Write a function for each problem, and justify your answers. Give all decimal answers correct to three decimal places. 1. Find two positive numbers such that their product is 192 and the sum of the first plus three times the second is a minimum. 2. Find two positive numbers such that the sum of the first and twice the second is.

Calculus: Early Transcendentals 8th Edition answers to Chapter 4 - Section 4.1 - Maximum and Minimum Values - 4.1 Exercises - Page 283 1 including work step by step written by community members like you. Textbook Authors: Stewart, James, ISBN-10: 1285741552, ISBN-13: 978-1-28574-155-0, Publisher: Cengage Learning.

Section 4.5: 16, 22, 27, 34. Section 4.6: 16, 19, 22. Reading Assignment: Read and understand the worksheets listed below. Make sure you know how to work the problems they provide. Chapter 4: Optimization Part 1 Optimization Part 2 Introduction to Related Rates Related Rates More Related Rates Here is my key to some of the optimization problems.

Homework Page MAT220 Calculus Students are expected to complete each of the homework assignments provided below. Check the class calendar (last page of your syllabus) to see the section number for each day.

Important: The final exam will assume familiarity with the material covered by these problems. These homework problems, together with the MathXL assignments, form your main study guide for Math 135. Homework will not be handed in for grading, but you are required to understand how to do these problems. The exercises are listed by section of the.