{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

m203finfall2011

# m203finfall2011 - 1 MATH 203 Final Exam December 2011...

This preview shows pages 1–2. Sign up to view the full content.

1 MATH 203 Final Exam, December 2011 Instructions: Complete every question in Part I (Questions 1-7.) Complete three of the five questions in Part II (Questions 8-12). Each question is worth 10 points. No calculators or other electronic devices may be used during the examination. Answers may be left in terms of 7 , sin(3) , π , etc. if needed. Give reasons for all answers. This exam will last 2 hours and 15 minutes. Good luck! 1. (a) Find an equation for the plane through the points A = (0 , 1 , 2), B = (1 , 0 , - 1), and C = (1 , 2 , 3). (b) Find parametric equations for the line through (4 , 1 , 3) and perpendicular to the plane found in (a) above. (c) Let ~v = h 0 , 2 , - 2 i Is the line found in (b) perpendicular to ~v , parallel to ~v or neither of these? 2. At points ( x, y, z ) in a region of space for which x 2 + y 2 1 and z 0, there is an electric charge E ( x, y, z ) = z + z ln( x 2 + y 2 ). (a) Find the rate at which the electric charge is changing at (1 , 0 , 2) in the direction towards the point (4 , 4 , 7).

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