MTH 2410 Homework 1 (Cale & Algebra Review) DUE: Wed., Jan. 24 Don\'t try to wri

Question

MTH 2410 Homework 1 (Cale & Algebra Review) DUE: Wed., Jan. 24 Don't try to write your solutions on this page. Don't forget to put your name on your solutions. 1. [1 point each] Rules of Exponents (a) Express as a power of x ie, as (b) Simplify and express as a power of : x2x 12 points each] Fatal algebraic errors: Each of the following calculations involves a fatal algebraic error (the kind of bad algebra that gives you an immediate zero on a problem!). In each case, indicate what the error is. Then give a separate numerical example to demonstrate that the algebra is incor- rect. You do not need to correct the calculation. Here is an example of what I expect you to do: 2. Example: f(x+2)2ax=f(x2 + 4)dr =)/ +4x + C Mistake: (x+2)2 2+22 Numerical Example: (1+2)2-9#12 +22=5 3+x 2x-2-3+x 3x-5 (c) 2--=

Explanation / Answer

1.a. cube root of x-2= x-2/3

b.x2x1/3/x1/2=x2+1/3-1/2=x(24+4-6)/12= x22/12=x11/6

2.a.Mistake is in y/(y2+1) not equal to 1/(y+1)

b. 2/(1+x2) not equal to (2/1 + 2/x2)

c. 2-(3+x/x-1) is not equal to (2x-2-3+x/x-1)

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