mcv4ua_unit_3_lesson_11 (1).pdf

# mcv4ua_unit_3_lesson_11 (1).pdf - MCV4U-A 3 Unit Applying...

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MCV4U-A 3 Unit Applying Derivatives and Introduction to Vectors

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Copyright © 2008 The Ontario Educational Communications Authority. All rights reserved. No part of these materials may be reproduced, in whole or in part, in any form or by any means, electronic or mechanical, including photocopying, recording, or stored in an information or retrieval system, without the prior written permission of The Ontario Educational Communications Authority. Every reasonable care has been taken to trace and acknowledge ownership of copyright material. The Independent Learning Centre welcomes information that might rectify any errors or omissions. December 6, 2010

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Unit 3 Introduction, page 2 Calculus and Vectors MCV4U-A Copyright © 2008 The Ontario Educational Communications Authority. All rights reserved. Introduction In this unit, you will complete the calculus portion of the course and begin looking at vectors. In the first two lessons, you will learn about applications of derivatives. For example, suppose you want to find the minimum amount of material to use to build a box of a specific volume. This is called an optimization problem. You learned earlier in the course that derivatives help you study the rate of change and how the change in one variable leads to the change in a dependent variable. You also learned that the derivative of a function helps determine the maximum and minimum of a function over an interval. In this unit, you will learn how to use your knowledge of calculus to solve a number of optimization problems from the world of science and economics.
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