exam_180_1 - f of a function is given by: r r r r r r r r r...

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

View Full Document Right Arrow Icon
MATH 180 Midterm exam September 23, 2005 Name: Section time: 1. Give the graph of f ( x ) = sin( x + π 2 ) - 1 over the interval [ - 2 π, 2 π ] as accurately as possible. (10pts) 1
Background image of page 1

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

View Full DocumentRight Arrow Icon
2. The half-life of a radioactive compound is 5.5 years. Find how many years it will take it to be reduced to 1% of its original quantity. (10pts) 2
Background image of page 2
3. Compute: (10pts ) lim x →-∞ 4 x 3 + 2 x 2 + x + 1 7 x 3 + x 2 - 1 4. Use the definition of the derivative to compute the derivative of f ( x ) = 1 x + 2 for x = 3. (10pts) Find the tangent to the graph of f at the same point. (10pts) 3
Background image of page 3

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

View Full DocumentRight Arrow Icon
5. The graph of the derivative
Background image of page 4
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: f of a function is given by: r r r r r r r r r r @ @ @ @ @ @ @ @ 2 6 9 10 4 8 i) Where is f increasing? ii) Where is f decreasing? iii) Where is f concave up? iv) Where is f concave down? v) Are there points in the interval (0 , 10) at which f is non-dierentiable? Which? vi) Are there points in the interval (0 , 10) at which f is non-dierentiable? Which? vii) Using the graph of f give an approximation for the graph of f (10pts each) 4...
View Full Document

Page1 / 4

exam_180_1 - f of a function is given by: r r r r r r r r r...

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