• Cyberian's Gold

  • Cyberian's Gold

    Given that dydt=y−ty+t with the initial condition y=1,t=0 find the 3rd term in Taylor series when t=0.3 and y//= 0.2.

    c7e0d23c-2a22-494c-ae7d-349efac67e19-image.png

  • Cyberian's Gold

    Given that dydt=t+y with the initial condition y0=1att0=0 find the 3rd term in Taylor series when t=1.5 and y// =0.6

    351716bd-56ee-4616-9ad5-ce5a3306b560-image.png

  • Cyberian's Gold

    While employing Trapezoidal and Simpson Rules to evaluate the double integral numerically, by using Trapezoidal and Simpson rule over --------.

    Plane region
    Real line

  • Cyberian's Gold

    While employing Trapezoidal and Simpson Rules to evaluate the double integral numerically, by using Trapezoidal and Simpson rule with respect to -------- variable/variables at time

    Single
    Both

  • Cyberian's Gold

    Given that dydt=t+y√ with the initial condition y0=1att0=0 find the 2nd term in Taylor series when t=1, y/ =0.2, and h=0.1.

    6bb8fed7-d7b3-49da-9d94-dd02f761181d-image.png

  • Cyberian's Gold

    Which of the following reason(s) lead towards the numerical integration methods?

    547f37ca-8a83-45fc-8aea-643d49e70b66-image.png

  • Cyberian's Gold

    In Trapezoidal rule, we assume that f(x) is continuous on [a, b] and we divide [a, b] into n subintervals of equal length using the ………points.

    cffe2be2-8461-4d19-87ad-9c649cf71d19-image.png

  • Cyberian's Gold

    Given that dydt=t+y√ with the initial condition y0=1att0=0 find the 3rd term in Taylor series when t=1, y/ =0.2, y// =2, and h=0.1.

    a79db95d-f6c7-46ab-935d-94b79ca2934b-image.png

  • Cyberian's Gold

    Given that dydt=y−ty+t with the initial condition y=1,t=0 Using Euler’s method, y at
    h=0.01
    ; the value of y(0.01)is

    57cdb750-fe84-4d7f-80dc-9a57de5f80d8-image.png

  • Cyberian's Gold

    Given that dydt=1−y√ with the initial condition y0=1att0=0 find the 3rd term of Taylor series when t=0.5 and y// =0.25.

    dc430dd9-c881-4a67-a1a2-447bfa85941c-image.png

  • Cyberian's Gold

    While employing Trapezoidal and Simpson Rules to evaluate the double integral numerically, by using Trapezoidal and Simpson rule with respect to -------- variable/variables at time

    Single
    Both

  • Cyberian's Gold

    @zaasmi said in MTH603 Quiz 2 Solution and Discussion:

    At which of the following points the Maximum value of 2nd derivative of function
    f(x) = -(2/x) in the interval:[1,4] exits?

    d6f1aa7e-ac71-4d6f-9090-9a5178926596-image.png

    At x=1

  • Cyberian's Gold

    At which of the following points the Maximum value of 2nd derivative of function
    f(x) = -(2/x) in the interval:[1,4] exits?

    d6f1aa7e-ac71-4d6f-9090-9a5178926596-image.png

  • Cyberian's Gold

    Given that dydt=t+y√ with the initial condition y0=1att0=0 find the 2nd term in Taylor series when t=1, y/ =0.2, and h=0.1.

    86f14116-9455-410f-a4ab-3d9891d5ebaa-image.png

  • Cyberian's Gold

    In Trapezoidal rule, we assume that f(x) is continuous on [a, b] and we divide [a, b] into n subintervals of equal length using the ………points.

    n
    n+1
    n-1
    None of the given choices

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