{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

1998test2

# 1998test2 - MATA26Y Physical Sciences Division University...

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: MATA26Y Physical Sciences Division University of Toronto at Scarborough February 3, 1999 110 minutes TERM TEST II 1. Sketch the graph of f(:v) = 11:26” . 2. Two towns on opposite sides of a river want to be joined by a telephone line. The river is perfectly straight and 1 km wide. One town is exactly 3 km upstream from the other. Suppose laying underwater telephone cable costs \$100,000 per km but laying cable on dry land costs only \$50,000 per km. What will be the least expensive route for the cable? . Evaluate the following integrals: (EU/«5111mm (d) /f\j:%dx (b) ¢1\$—_—\$2 d\$ (e) /_13 |\$3 — \$|d\$ (w/;:;m . Describe how many subdivisions n (into equal subintervals) you would use to approximate within 10—5 the integral 2 d3: 1 3+2a: using (a) the trapezoid rule and (b) Simpson’s rule. (Do not work out the approximations). . Approximate a solution of :23 + sina: = 1 within 10’4 using Newton’s method. The A+ Question Use mathematical induction to prove that 2 n(n + 1)] 9—1 2 ...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online