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How do you construct the Lagrange interpolation for a polynomial cosx plus sinx given the four values of x?
Wiki User
∙ 10y ago
Construct the Lagrange interpolating polynomial
P1(x) for f(x) = cos(x)+sin(x) when
x0 = 0; x1 = 0:3. Find the absolute error on the interval [x0; x1].
Wiki User
∙ 10y ago
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What are the values of theta of which secant theta is undefined?
Since secant theta is the same as 1 / cosine theta, the answer is any values for which cosine theta is zero, for example, pi/2.
How do you solve an equation that uses spherical trigonometry without a calculator?
Before calculators, trig functions in general were evaluated using a slide rule (fast, but accurate to only 2-3 significant digits, and interpolation tables, which required interpolating between values in a printed table of function values to get up to 3-4 significant digits. Tricks were a big part of the repertoire - for example for small angles of less than about 7 degrees, sin and tangent are equal to the angle in radians. Spherical geometry was fairly labor intensive, to say the least, since several trig functions are used for even simple distance and angle calculations. Special tables were printed for common cases, such as plotting great circle distances and bearings for terrestrial navigation. In a desert island setting, given infinite time and desire, trig functions can be calculated using various converging series, with the Taylor series being a commonly taught (though slow!) example.
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How do you find amplitude in trigonometry?
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Why are similar triangles the basis for trigonometry?
That's the definition of trigonometry. Triangles are completely dependent upon their side lengths, and can be defined by only three values.
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Substitute that value of the variable and evaluate the polynomial.
Are a polynomial's factors the values at which the graph of a polynomial meets the x-axis?
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Find values of the variable for which the value of the polynomial is zero.
What is meant by Piecewise linear interpolation?
Interpolation in general is a way to determine intermediate values from a set of coordinates. Linear interpolation would be to fit a single linear function to the entire set of coordinates. Piecewise linear interpolation would then be to determine intermediate values from the set of coordinates by fitting linear functions between each set of coordinates. Connect-the-dots so to speak.
What is to use a given data to estimate a value between known values?
interpolation
The process of estimating values between measured data points is called?
Interpolation.
What is estamating a value between two known values in a data called?
Interpolation
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Both, interpolation and extrapolation are used to predict, or estimate, the value of one variable when the value (or values) of other variable (or variables) is known. This is done by extending evaluating the underlying function. For interpolation, the point in question is within the domain of the observed values (there are observations for greater and for smaller values of the variables) wheres for extrapolation the point in question is outside the domain.
What are the values at which the graph of a polynomial crosses the x-axis?
The graph of a polynomial in X crosses the X-axis at x-intercepts known as the roots of the polynomial, the values of x that solve the equation.(polynomial in X) = 0 or otherwise y=0
A value of a polynomial is a value for which the polynomial is bigger or smaller than any other nearby values?
extreme
What value of a polynomial is a value for which the polynomial is smaller than any other nearby values?
A local minimum.
If the factors of a polynomial are x - 2 and x - 5 what values of x make that polynomial 0?
2 or 5
