MAT133Y1 Study Guide - Final Guide: Horse Length, Trapezoidal Rule, Lagrange Multiplier

• School: UTSG
• Department: Mathematics
• Course: MAT133Y1
• Professor: All

Document Summary

If x = a (cid:0) a(cid:0)1 , then the entry in the (cid:12)rst row and the second (cid:13)a (cid:13)b (cid:13)c (cid:13)d (cid:13)e. For how many values of k does the system x + 2y (cid:0) 3z. 4x + y + (k2 (cid:0) 14)z = k + 2. = 2 have no solution? (cid:13)a (cid:13)b (cid:13)c (cid:13)d (cid:13)e for no values of k for two values of k for one value of k for three values of k for in(cid:12)nitely many values of k. 2 x+1 + a if x < (cid:0)1 x2 (cid:0) 1 x (cid:0) 1 (cid:0) x. 8>>>>< if (cid:0)1 (cid:20) x < 1 if x (cid:21) 1. [3 marks] ln(1 (cid:0) x) ex (cid:0) 1 does not exist equals zero equals 1 equals (cid:0)1 equals p2 lim x!0 (cid:13)a (cid:13)b (cid:13)c (cid:13)d (cid:13)e. The average value of f (x) = x9 on the interval [0; 10] is. Z 2x ln(x + 1) dx = (cid:13)a (cid:13)b.