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

So the interval (-00,-2) U (5, ∞) Homенork: 1. Explain the following intervals on the line numbers: (a) -3 5 (e) x 0} x2-1 (d) {x: 20} 2x (c) {x:- 20} (x- 2)(x+1) x²+1 3. Solve the following inequalities and express the solution in terms of inte

Give accurate response. I am mostly confused with S2 and S3. does S2 contain the zero vector?

3. Find a vectorb that is four times as long as a =i-j+kin the same direction as a.

II. Let f(x, y) = e*-y. (a) Evaluate f(2, 4). (b) Find the domain of f. (c) Find the range of f.

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

Show that g(x) = 2x² + 3 − 3ª has a real zero using the Intermediate Value Theorem. -

Elimination of Arbitrary Constants

Eliminate all arbitrary constants in easiest or shortest way.

1 y+z²+2 Evaluate the integral [x²(y+1)dx+- along the path ABCDA shown in figure. -dy + xzdz x²+2=4 x AZ D(0,0,4) B(0,0,0) A(2,0,0) C(0,2,0),