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Texas Instruments TI-Nspire - Interpolate(); Invc 2 (); Invf(); Invnorm

Texas Instruments TI-Nspire
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48 TI-Nspire™ Reference Guide
interpolate( )
Catalog
>
interpolate(xValue, xList, yList, yPrimeList) list
This function does the following:
Given
xList, yList=f(xList), and yPrimeList=f'(xList) for some
unknown function f, a cubic interpolant is used to approximate the
function f at xValue. It is assumed that xList is a list of monotonically
increasing or decreasing numbers, but this function may return a
value even when it is not. This function walks through
xList looking
for an interval [
xList[i], xList[i+1]] that contains xValue. If it finds such
an interval, it returns an interpolated value for f(xValue); otherwise, it
returns undef.
xList, yList, and yPrimeList must be of equal dimension | 2 and
contain expressions that simplify to numbers.
xValue can be a number or a list of numbers.
Differential equation:
y'=-3·y+6·t+5 and y(0)=5
To see the entire result, press £ and then use ¡ and ¢ to
move the cursor.
Use the interpolate() function to calculate the function values for
the xvaluelist:
invc
2
()
Catalog
>
invc
2
(Area,df)
invChi2(
Area,df)
Computes the Inverse cumulative c
2
(chi-square) probability function
specified by degree of freedom, df for a given Area under the curve.
invF()
Catalog
>
invF(Area,dfNumer,dfDenom)
invF(
Area,dfNumer,dfDenom)
computes the Inverse cumulative F distribution function specified by
dfNumer and dfDenom for a given Area under the curve.
invNorm()
Catalog
>
invNorm(Area[,m[,s]])
Computes the inverse cumulative normal distribution function for a
given Area under the normal distribution curve specified by m and s.
invt()
Catalog
>
invt(Area,df)
Computes the inverse cumulative student-t probability function
specified by degree of freedom, df for a given Area under the curve.

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