H.W: Which of the sequences {a} converge and which diverge: n 1. a₁ = 2+ (0.1)" 2. a. - (1+2)

Problem Set 2.2 Eliminate the arbitrary constants of the following DES 3. y = cx + c²+1 4. Ae2x + Bxe 2x

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2. Consider the vectors X₁ = (8,6) and x₂ =(4,-2) in R². (a) Determine the length of each vector. (b) Determine the length of X3 when X3 = X₁ + X2.

Determine the value of a scalar a if the following three vectors are to lie in the same plane :  A = 2i - j + 2k m , B = 6i +3j +ak m and C = 16i + 46j + 7 k m.

1. Given the vectors A = 5i + 3j + 2k and B = 10i – 7) – 2k. Find the following: (a) A. (b) Angle between A and B (c) Ax B (d) (A+B) x (A-B)

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B. Here are two statements: Statement 1: Figure F is a rectangle. Statement 2: Figure F is a triangle. Which is correct? A. If 1 is true, then 2 is true. B. If 1 is false, then 2 is true C. 1 and 2 cannot both be true D. 1 and 2 cannot both be false.

II.W: 1. Find the Maclaurin series generated by f(x)=- 1 1+x 2. Find the Maclaurin series generated by f(x) = x²

H.W: 1. find the derivative of the function f(x, y, z) = xy + yz + zx,at the point P(1,-1,2) in the direction of A=3i+6j-2k 2. find the derivative of the function g(x, y, z) =3e* cos yz,at the point P.(0,0,0) in the direction of A= 2i+j-2k