{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

PP Section 4.4

# PP Section 4.4 - DefineFunctions Comments...

This preview shows pages 1–6. Sign up to view the full content.

Setting Up Equations that  Define Functions

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Comments   This is the first step in modeling in mathematics.     Modeling means replacing the words of  whatever language is being used by  mathematical expressions.   Solving an application problem has as first step  modeling the problem.
Steps to Follow 1. Read the problem carefully and draw diagrams, if  appropriate. 2.  Assign variables to key quantities. 1. Label the diagram and any other  quantities relevant to the problem. 4.  Write the equation(s) relating the quantities  above.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Example The length of the rectangle is twice its width.   Write the perimeter and the area of the rectangle  as functions of its width. w = width 2w       P(w) = 2w + 2(2w)= 6w   A(w) = w(2w) 2 2w = w
Example Let  2s  denote the length of the side of an equilateral  triangle.  Find a formula for the area of the triangle as a

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern