MATH 163 PRECALCULUS II Old Dominion

Math 163 Test 2 Review Ch. 6-8 NON-CALCULATOR 1. Find the exact value: 5 sin a. 3 c. b. Name:_ 3 csc 2 4 cos 3 11 cot 4 d. e. 15 tan 4 f. 19 sec 6 2. If csc cot 13 and cos 0 ,then find the exact v

Math 163 Test 3 Review Ch. 7,8 1. Name:_ Find the exact value of the following inverse functions. 1 a. arctan 3 b. arccos 1 2 c. cot arcsin 1 3 2. Find the exact value of the following inverse trigonometric equation. 5 4 cos arcsin arctan 13

Math 163 Test 2 Review Ch. 6-8 NON-CALCULATOR 1. Find the exact value: 5 sin a. 3 c. b. Name:_ 3 csc 2 4 cos 3 11 cot 4 d. e. 15 tan 4 f. 19 sec 6 2. If csc cot 13 and cos 0 ,then find the exact v

Math 163 Test 3 Review Ch. 7,8 1. Name:_ Find the exact value of the following inverse functions. 1 a. arctan 3 b. arccos 1 2 c. cot arcsin 1 3 2. Find the exact value of the following inverse trigonometric equation. 5 4 cos arcsin arctan 13

4.1 Vectors in the Plane Review the basic terminology: vectors, scalars ( p. 170) rectangular (or Cartesian) coordinate system, projection, 2-space ( p. 171) tail (initial point) and head (terminal point) of a vector ( p. 172, 174) direction and

ANSWER KEY - SAMPLE TEST 1 Spring 1999 - MATH 211 - Dr. Bogacki (x+h+1)x(x+1)(x+h) (x+h)x 1. f 0 (x) = lim = lim f (x+h)f (x) h h!0 = lim = (x+h)+1 x+1 x x+h h!0 1 x2 h = lim h!0 h = lim h!0 x2 +hx+xx2 xhxh h(x+h)x h h!0 h(x+h)x = lim

Math 422/522/692 Applied Complex Variables Problem Set #5 (2/12/01) due: Monday 2/19/01 Standards for Written Work: The problem sets require written derivations. Simple statements of nal results are, in most cases, not sucient for full or even subs

1.3. Dot Product and Matrix Multiplication DEF ( p. 17) The dot product of n-vectors: u = (a 1 , , a n ) and v = (b 1 , , b n ) is u 6 v = a1b1 + ` + anbn (regardless of whether the vectors are written as rows or columns). DEF ( p. 18) If A = [a ij

8.3 Diagonalization of Symmetric Matrices DEF p.368 A is called an orthogonal matrix if A 1 = A T . TH 8.8 p.369 A is orthogonal if and only if the column vectors of A form an orthonormal set. | Proof: Let A = | A 1 = A T In = ATA MATH 316U (003)