section 2_6 solutions

section 2_6 solutions - Math 1650 Homework Solutions Jason...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon

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

View Full DocumentRight Arrow Icon

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

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Math 1650 Homework Solutions Jason Snyder, PhD. Page 1 of 10 2.6 2 30 (even, except 12) 1 18 In these exercises you are asked to find a function that models a real-life situation. Use the guidelines for modeling described in the text to help you. 2) Area A poster is 10 inches longer than it is wide. Find a function that models its area in terms of its width ? . The area of the poster is given by area = width height. Let ? be the width of the poster, and we express height in terms of ? . In Words In Algebra Width ? Height ? + 10 Thus we have area = width height ( ? ) = ? ( ? + 10) ( ? ) = ? 2 + 10 ? 4) Volume The height of a cylinder is four times its radius. Find a function that models the volume of the cylinder in terms of its radius . The volume of a cylinder is given by volume = radius 2 height. Let be the radius of the cylinder, and we express height in terms of . In Words In Algebra Radius Height 4 Thus we have Math 1650 Homework Solutions Jason Snyder, PhD. Page 2 of 10 volume = radius 2 height ( ) = 2 (4 ) ( ) = 4 3 6) Perimeter A rectangle has an area of 16 m 2 . Find a function that models its perimeter in terms of the length ? of one of its sides. The perimeter of a rectangle is given by Perimeter = 2(length + width). Let ? be the length of the rectangle, and we express width in terms of ? . In Words In Algebra Length ? Width 16 ? Thus we have perimeter = 2(length + width) ( ? ) = 2 ? + 16 ? ( ) = 2 ? 2 + 16 ? 8) Area Find a function that models the surface area of a cube in terms of its volume . The surface area of a cube is given by surface area = 6(length of one side) 2 . Let be the length of one side of the cube. We therefore need to express , the volume of the cube, in terms of . The formula that relates and is = 3 . Solving for , we get = 3 . Math 1650 Homework Solutions Jason Snyder, PhD. Page 3 of 10 Thus we get surface area = 6(length of one side) 2 ( ) = 6 2 ( ) = 6 3 2 10) Area Find a function that models the area of a circle in terms of its circumference ....
View Full Document

Page1 / 10

section 2_6 solutions - Math 1650 Homework Solutions Jason...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online