1700 - 1 MATH 203 Final Exam Instructions Complete every...

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

1 MATH 203 Final Exam May 18, 2009 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) etc. Proctors will conﬁscate any devices observed in the examination room. Give reasons for all answers. This exam will last 2 hours and 15 minutes. Good luck! PART I: Answer all parts of Questions 1-7. Each question is worth 10 points 1. A line L is given parametrically by the equations x = 4 t ; y = 4; z = 2 + t . (a) Compute all unit vectors parallel to the line. (b) Compute the coordinates of the point where the line intersects the plane P with equation x + 2 y + 3 z = 0. (c) Is the line L perpendicular to the plane P ? Justify your answer. 2. Let f ( x,y,z ) = x 2 - cos( xy ) + e yz . (a) At the point (3

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 ]}

Page1 / 2

1700 - 1 MATH 203 Final Exam Instructions Complete every...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online