Problem Set 6

  1. Function Behavior.

    g(s) = 6s^4 + 7s^3 - 1 : Decreasing, Minimum, Increasing

    f(t) = t^5-4 : Increasing, Increasing

  2. Intermediate Value Theorem.

    a) 3

    b) (-1.5,-0.5);(-0.5,0.5);(0.5,1.5)

    c) (-1.3,-1.2);(-0.3,-0.2);(0.9,1.0)

  3. Find All the Zeros I.

    i) -5i

    ii) x-5i,x+5i

    iii) x^2+25

    iv) 4x+6

    v) -5i,+5i,-\frac{3}{2}

  4. Find All the Zeros II. 5+2i,5-2i,-3
  5. Approximate the Zeros.

    a) 2

    b) (-1.2,-1.1);(1.1,1.2)

  6. List the Zeros I.

    a) -\sqrt{5},0,\sqrt{5}

    b) 3-2i,3+2i,0

    c) 3-2i,3+2i,1

  7. List the Zeros II.

    a) \frac{1}{2},3-2i,3+2i

    b) -1,\frac{1}{3},\frac{1}{2}