F05 1205 final W

# F05 1205 final W - Name ID MATH 1205 FINAL Fall 2005 CRN or...

• Test Prep
• 3

This preview shows pages 1–3. Sign up to view the full content.

Name: MATH 1205 FINAL Fall, 2005 ID # CRN or class time Free Response Questions CALCULATORS MAY BE USED (50 pts total) You must SHOW ALL WORK and use methods learned in class to receive full credit. Read the Directions . 1. A rectangular box with an open top is to be made using 726 in 2 of cardboard. The box has length, l , height, h , and width, w , where h equals w (see figure below). Find the dimensions (width, length, and height) that maximize the volume of the box. Show work to demonstrate that the dimensions you give actually do yield a box with absolute maximum volume. (8 pts) l w h = w 2. (7 pts) Use the graph to find the following. If the limit does not exist, give a reason . a) lim x !" 1 f ( x ) = b) lim x " 3 f ( x ) = c) Name the x values where f ( x ) is discontinuous

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

3. Gravel is being dumped from a conveyor belt at a rate of 35 ft 3 /min and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 10 ft high? (8 pts) Include a labeled diagram. Recall the volume of a cone:
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