{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# a4 - University of Toronto at Scarborough Department of...

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

University of Toronto at Scarborough Department of Computer and Mathematical Sciences MATA37 Calculus II for Mathematical Sciences Summer 2007 Assignment #4 Work on the text material and the problems below in preparation for your 4th tutorial, which takes place during the week of June 4 - 8. Remember: there is a quiz on Assignment 3 in that tutorial. The quiz on Assignment 4 takes place in the 5th tutorial which is during the week of June 11 - 15. STUDY: Chapters 6-8 for this assignment and Chapters 9-11 for the near-future lectures. PROBLEMS: 1. Page 118-119 # 7; 10 (b). 2. Page 127-130 # 1 (i, iii); 3; 8; 10; 14 (a, b); 19 (a). 3. Page 137-139 # 1 (i, iii, iv); 12; 13. 4. Assume φ is continuous on a closed, bounded interval [ a, b ]. The image of [ a, b ] under φ is the set φ ([ a, b ]) = { φ ( x ) | x [ a, b ] } . Prove that φ ([ a, b ]) is a closed, bounded interval. 5. Give an example of a function ψ and a bounded, open interval ( a, b ) such that ψ is continuous on ( a, b ) but ψ (( a, b )) is an unbounded, open interval. Give an example of a function ψ that is continuous on R but for which ψ ( R ) is a bounded, open interval.

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 ]}