Jordan canonical form by Chris Kottke

By Chris Kottke

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0710 . 76. Comparison with part 1 shows the effect of compounding interest. We should note that at higher interest rates the effect is more dramatic. 21. Ten years is 120 months, and this is the value we use for m. 31. Comparing this with the answer from part 2, we see that the difference between yearly and monthly compounding is significant. It is important that you know how interest on your loan is calculated, and this may not be easy to find out from the paperwork you get from a lending institution.

3y . S-9. Calculate f (3, 4) if f (x, y) = √ x+y S-10. Calculate g(2, 3, 4) if g(s, t, u) = (1 + s/t)u . S-11. 4) if a b − ba . W (a, b, c) = a c − ac 1 . x S-13. Calculate f (3) if f (x) = 3−x − S-14. Calculate f (3) if f (x) = √ 2 x . x+1 2x + 5. S-15. 37t . S-21. 06, 30) if P (F, r, t) = F /(1 + r)t . S-22. 005, 40) if M 1 P (M, r, t) = . 1− r (1 + r)t S-17. 5) if C(g, d) = √ √ u+ v S-24. 2) if A(u, v) = √ √ . u− v What formulas mean: In Exercises S-25 through S31 you are asked to relate functional notation to practical explanations of what certain functions mean.

Evaluate the formula S-23. 2. 2 . 7 S-24. 3. √ √ S-25. Evaluate the formula (1 − A)(1 + B) using A = 3 and B = 5. S-26. Evaluate the formula 1 + S-28. Evaluate the formula Arithmetic: In Exercises S-16 through S-20, perform the calculation and report the answer rounded to two decimal places. For some of the calculations, you may wish to use the chain calculation facility of your calculator to help avoid errors. 2 − 1 S-17. √ 3+4 S-21. Evaluate the formula S-27. 07. S-14. Evaluate expression: Evaluate e−3 − π 2 .

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