Calculus

If f is a vector-valued function defined by <sin2t, cos2t> then what is f '' (pi/4)?

I think it is <-4, -√2/2>.

  1. 👍
  2. 👎
  3. 👁
  1. Sorry...it is cost, not cos2t.

    1. 👍
    2. 👎
  2. x= sin 2 t
    y = cos t
    x' = 2 cos 2t
    y' = -sin t
    x" = - 4 sin 2t
    y" = -cos t
    at pi/4
    sin pi/2 = 1
    cos pi/4 = sqrt 2/2
    so yes , (-4 , -sqrt 2 / 2 )

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physics

    You are given vectors A = 5.0i - 6.5j & B = -3.5i + 7.0j. A third vector C lies on the xy-plane. Vector C is perpendicular to vector A, & the scalar product of C with B is 15.0. From this information, find the components of vector

  2. Calculus

    A cubic polynomial function f is defined by f(x) = 4x^3 + ax^2 + bx + k? A cubic polynomial function f is defined by: f(x) = 4x^3 + ax^2 + bx + k where a, b, and k are constants. The function f has a local minimum at x= -1, and

  3. mechanics and heat

    if the cross product of vector A and vector B is 8i-14j+k and the difference of vector A and vector B is 5i+3j+2k,then find the value of vector A and vector B.

  4. Calculus

    If f is a vector-valued function defined by f(t) = (e^(2t), lnt), then what is f ''' (t)? A. 8e^(2t) - 2/t^3 B. (e^(2t), -2/t^3) C. (4e^(2t), -1/t^2) D. (8e^(2t), 2/t^3) E. 4e^(2t)/t^3 I think it is D.

  1. Physics

    In a coordinate system, a vector is oriented at angle theta with respect to the x-axis. They y component of the vector equals the vector's magnitude multiplied by which trig function? ... please explain

  2. physics

    i don't see this in my book in a coordinate system, a vector is oriented at angle theta with respect to the x-axis. The y component of the vector equals the vector equals the vector's magnitude multiplied by which trigonometric

  3. Calculus

    A function f(x) is said to have a removable discontinuity at x=a if: 1. f is either not defined or not continuous at x=a. 2. f(a) could either be defined or redefined so that the new function IS continuous at x=a.

  4. Calculus and vectors

    Vector AB is a vector whose tail is at (-4,2) and whose head is at (-1,3). Calculate the magnitude of vector AB Determine the coordinates of point D on vector CD, if C (-6,0) and vector CD= vector AB. Please I need some help. Is

  1. Physics

    A farmer builds three sections of a fence as shown in the figure where L = 10.00 m, and gets tired. Walking straight back to where he started, how far did he go. d=? Vector on Y-axis going to origin, L/2 vector going on Positive X

  2. math grade 11

    A quadratic function is defined by f(x)= 3x^2+4x-2. A linear function is defined by g(x)= mx-5. what values(s) of the slope of the line would make it a tangent to the parabola.

  3. math grade 11

    A quadratic function is defined by f(x)= 3x^2+4x-2. A linear function is defined by g(x)= mx-5. what values(s) of the slope of the line would make it a tangent to the parabola

  4. calculus

    Find the domain of the vector-valued function. r(t) = sin ti + 4 costj + tk plz help me working

You can view more similar questions or ask a new question.