MathPracticeFinal2 - Math 1A, Spring 2008, Wilkening Sample...

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

View Full Document Right Arrow Icon
Math 1A, Spring 2008, Wilkening Sample Final Exam 2 You are allowed one 8 . 5 × 11 sheet of notes with writing on both sides. This sheet must be turned in with your exam. Calculators are not allowed. 0. (1 point) write your name, section number, and GSI’s name on your exam. 1. (3 points) give precise definitions of the following statements or expressions: (a) f ( x ) is neither even nor odd (b) R f ( x ) dx (c) R b a f ( x ) dx 2. (4 points) Show that the tangent lines to the curves y = x 3 and x 2 + 3 y 2 = 1 are perpendicular where the curves intersect. 3. (3 points) Evaluate Z 1 0 tan - 1 x 1 + x 2 dx . 4. If f is continuous and R 4 0 f ( x ) dx = 6, find R 2 0 f (2 x ) dx . 5. (5 points) A right circular cone of height h and base radius R has a hole of radius r drilled through its center (from the tip to the center of the base). Find the volume of the solid that remains. 6. (5 points) Let f ( x ) = tanh - 1 (sin x ) and g ( x ) = ln | sec x + tan x | . Compute f 0 ( x ), g 0 ( x ), f ( ) and
Background image of page 1

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

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 2

MathPracticeFinal2 - Math 1A, Spring 2008, Wilkening Sample...

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

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