Calculus 1000A/B Quiz: calc1000exercises2015

Σ.TEL (4) P-t. P, c (12) Σ (n-1.4 "+ 3n-1.2) (11) Σ L, c +1 (13) Σ8in n D, d (18) (21) (24) D, d (23) Σ(-1)"-2D, d (26) Σ(-1)"nin /1, c (29) Σe_n G, c (32) Σ(-1)"-, cr/r. A, c Σ(v2-1)L, d Σ(-1)n sin(n) A,c (27) (25) Σ㎡e-n, 1,c (28) 2n2-1 L, c (31 )-- Ri,c n25 し,d -3" +2n (G+ 2" (33) Σ 3, (G+ G), c (33) (37) 2273-2 (38) Σ(-1)"4n2+1A.c (40) Σ n(n-1, A,c (41) Σ (cosi): G, c 4+3" (47) (50) (53) Σ(-1)n-n5Ac Σ nvt 2n2+5 L, c Σarctan n D, d D,d (49)→(222 57-1)L, c (52) )1 3 (n2 +5n-1) L,c (51) -2 (51) Σ 2c, d nou arc tan n D,d Σ(-1)"--D, d Σ ln (2.4-5 Σsin (:) L,d (53) (54) r in T (56) (57) tan n (58) Σ /2 D, d (59) 2n +5) D, d (60) o ! n2 2 72

2 -1 3 I. Find the inverse of the Matrix A = | 3-3 10 -5 2 -1 -30 01 「3-1 2 21 B=14 |find A-W. 2. If 0 1 Ans: 51 3 7 -2 Solved|-y | =|-3|if A =| 2 L11 5 4 | 1 3. 4 Please circle the correct answer.) -6 15-57 18 37 97 '103 17 2 43 97'17 97 11 -19 14 197 93 97 4· The row reduction echelon form that results from 5x+3y-2 2y-Sz =-3 Ans: the Gauss-Jordan Row Reduction of is: 3x-y+2z =5 Solve the system of equations 3 2x-2y +7 z =-2 is: (Please circle the correct an 5. x-3z = 2 13 -19 15 10 53 4 b) (15 10 -5 7'9 6 14 75 7 3 9 9)

CHAPTER PRECALCULUS REVIEW Right Circular Cylinder Right Circular Cone volume mrh lateral area 27trh total surface area-2rr2 + 2trh slant height = lateral area-ar-/rr total surface area-πr2 + π^/T+ EXERCISES 1.2 Exercises 1-10. Is the number rational or irrational? 1. 3.2.131313 .. . = 2. 3. 41. 10, 1,2,3,4) 43. The set of even integers. 44. (x:x s4). 45, (x êµ° > 3. 6, π-2. s. 0.125 47. Te set ofnational numbers less than、压 Ezercises 11-16. Replace the symbol e by MLet x-2 and define ì œ= -for n= Find at least five values for ì œ. Is the set ) bounded above, bounded be- 1,2, 3, 4, S = (xo, xi, χ2 . , Xn, low, bounded? If so, give a lower bound and/or an upper bound for S. If n is a large positive integer, what is the ap 18.1-4. 20.1-5-18 22-12-지. proximate value of x,? 50. Rework Exercise 49 with 10 = 3 and x. Exercises 51-56. Write the expression in factored form 231 +4x 54.27x3-8 56. 4x+4x2 +1 53. 8r6 +64 55. 4x+12x +9 Exercises 57-64. Find the real roots of the equation. 57. r1-1-2-0. 5%22-6叶归0. 61. r2-2r + 2-0. 63. z2 + 4x + 13 = 0, 64, x2-2x+5=0. Exerclses 65-69. Evaluate. 65. 51. 27.x2