• Cyberian's Gold

    @zareen said in MTH603 Quiz 1 Solution and Discussion:

    Logarithmic Function

    In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.
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  • Cyberian's Gold

    @zareen said in MTH603 Quiz 1 Solution and Discussion:

    Exponential Function

    In mathematics, an exponential function is a function of the form. where b is a positive real number, and in which the argument x occurs as an exponent. For real numbers c and d, a function of the form is also an exponential function, as it can be rewritten as.

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  • Cyberian's Gold

    @zareen said in MTH603 Quiz 1 Solution and Discussion:

    Trigonometric Function

    In mathematics, the trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths. They are widely used in all sciences that are related to geometry, such as navigation, solid mechanics, celestial mechanics, geodesy, and many others.

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  • Cyberian's Gold

    @zareen said in MTH603 Quiz 1 Solution and Discussion:

    In Newton-Cotes formula for finding the definite integral of a tabular function, which of the following is taken as an approximate function then find the desired integral? MTH603

    In numerical analysis, Simpson’s method is a method for numerical integration, the numerical approximation of definite integrals. … Simpson’s rule also corresponds to the three-point Newton-Cotes quadrature rule

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  • Cyberian's Gold

    @zareen said in MTH603 Quiz 1 Solution and Discussion:

    Series acceleration method

    In mathematics, series acceleration is one of a collection of sequence transformations for improving the rate of convergence of a series. Techniques for series acceleration are often applied in numerical analysis, where they are used to improve the speed of numerical integration.
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  • Cyberian's Gold

    @zareen said in MTH603 Quiz 1 Solution and Discussion:

    Sequence acceleration method

    In mathematics, series acceleration is one of a collection of sequence transformations for improving the rate of convergence of a series. Techniques for series acceleration are often applied in numerical analysis, where they are used to improve the speed of numerical integration.

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  • Cyberian's Gold

    δ = E 1/2 - E 1/2
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  • Cyberian's Gold

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  • Cyberian's Gold

    In Simpson’s 1/3 rule, the global error is of ……………… MTH603

    O(h2)

    O(h3)

    O(h4) Page=171

    Non of the given choices

  • Cyberian's Gold

    Richardson extrapolation is method also known as ………… MTH603
    Sequence acceleration method
    Series acceleration method

  • Cyberian's Gold

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    3rd

  • Cyberian's Gold

    In Newton-Cotes formula for finding the definite integral of a tabular function, which of the following is taken as an approximate function then find the desired integral? MTH603

    Trigonometric Function

    Exponential Function

    Logarithmic Function

    Polynomial Function Page=166

  • Cyberian's Gold

    While using the Composite Trapezoidal form for integrating y = f(x) in [0,10] which is subdivided in equally spaced interval of width ‘h =2’, then which of the following is the area of associated trapezoidal strip over subinterval:[2,4] ? MTH603
    (y2 + y4)/2
    (y2 + y4)
    (y2 - y4)/2
    (y2 - y4)

  • Cyberian's Gold

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  • Cyberian's Gold

    For a function ‘f(x) = x’, with a step size of ‘h=0.01’, which of the following gives the 1st derivative at x =1 by using two point formula? MTH603

    Y’=(x)=1+Some truncation Error

    Y’=(x)=1.01+Some truncation Error

    Y’=(x)=.0.1+Some truncation Error

    Y’=(x)=0.1+Some truncation Error

  • Cyberian's Gold

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