calculus

Show that tan^3(x)-8(tan^2(x))+17(tan(x)0-8 = 0

has a root in [0.5, 0.6]. Apply the Bisection Method twice to find an interval of length 0.025 containing this root.

I have NO idea where to go with that equals 0 part...I could figure it without it but that throws me off completely..you can't plug any numbers in

  1. 8
asked by terra
  1. If there is a root in [0.5,0.6] then that means that f(.5) * f(.6) < 0

    That is, the graph crosses the axis there somewhere, and the function changes sign.

    f(.5) = -0.9374
    f(.6) = 0.2062

    So, bisect the interval

    f(.55) = -0.3539

    Still negative, so bisect again

    f(.575) = -0.0708

    Still negative, so the root is in [0.575,0.6]

    In fact, it turns out to be 0.5813

    posted by Steve

Respond to this Question

First Name

Your Response

Similar Questions

  1. Trig.

    sec^2xcotx-cotx=tanx (1/cos)^2 times (1/tan)-(1/tan)=tan (1/cos^2) times (-2/tan)=tan (-2/cos^2tan)times tan=tan(tan) sq. root of (-2/cos^2)= sq. root of (tan^2) sq. root of (2i)/cos=tan I'm not sure if I did this right. If I
  2. Math-Trigonometry

    Show that if A, B, and C are the angles of an acute triangle, then tan A + tan B + tan C = tan A tan B tan C. I tried drawing perpendiculars and stuff but it doesn't seem to work? For me, the trig identities don't seem to plug in
  3. Trigonometry

    Find the exact value of tan(a-b) sin a = 4/5, -3pi/2
  4. Trig

    4tan^2u-1=tan^2u 3tan^2u=1 tan^2u=1/3 sq. root of (tan^2u)=sq. root of (1/3) tanu=sq. root of (3)/3 tanu=sq. root of 1 Did I do this one right? If not, could you please show me the correct method?? Thanks!
  5. Trig-Weird Geometry Problem

    Determine all triangles ABC for which tan(A-B)+tan(B-C)+tan(C-A)=0. There's a hint: "Can you relate A-B to B-C and C-A?" Should I apply the tangent difference formula (tan(x-y))? Help would be appreciated, thanks.
  6. trig

    h t t p : / / i m g 4 0 . i m a g e s h a c k . u s / c o n t e n t . p h p ? p a g e = d o n e& l = i m g 4 0 / 1 4 8 / a s d a s d y e . j p g & v i a = m u p l o a d (def of tan theta = a^-1 o)a = o opposite = adjacent tan
  7. Maths- complex numbers

    Find tan(3 theta) in terms of tan theta Use the formula tan (a + b) = (tan a + tan b)/[1 - tan a tan b) in two steps. First, let a = b = theta and get a formula for tan (2 theta). tan (2 theta) = 2 tan theta/[(1 - tan theta)^2]
  8. mechanics (calculating plane speed and climb angle

    Two radar stations A and B, are separated by the distance a = 500 m, track the plane C by recording the angles α and β at 1-second intervals. If three successive readings are t (s) 9 10 11 α 54.80◦ 54.06◦ 53.34◦ β
  9. Solving Trig equation

    Solve the trig equation exactly in the interval 0≤x≤2π. tan x + tan π/3 ------------------ = square root 3 1 - tan x tan π/3
  10. Pre-Cal

    Use an Addition or Subtraction Formula to write the expression as a trigonometric function of one number. (tan(74°)-tan(14°))/(1+tan(74°)tan(14°)) =__________ Find it's exact value (not decimal form) =__________ Note: A

More Similar Questions