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Application
Interpolation and extrapolation are widely used by businessmen, administrators, sociologists, economists and financial analysts. While interpolation helps in completing the incomplete, lost or destroyed records, extrapolation is helpful in those circumstances where forecasting and prediction are required. In financial analysis, the technique of interpolation is widely used to find Internal Rate of Return of a project, Yield to Maturity of a bond and in all investment decisions which require the use of the Present Value and Future Value Interest Factor tables.
y=f(a^x) and f(sinx)=lnx find dy/dx Solution) dy/dx = (a^x)(lnx)f''(a^x), .........(1) but f(sinx) = lnx implies f(x) = ln(arcsinx) hence f''(x) = (1/arcsinx) (1/ ( ( 1-x
In this part we look at another method to obtain the factors of an expression. In the above you have seen that x 2 - 4x + 4 = (x - 2) 2 or (x - 2)(x - 2). If yo
Alternating Series Test - Sequences and Series The final two tests that we looked at for series convergence has needed that all the terms in the series be positive. Actually t
Equation s(in Tth second)=u+at-a/2 seems to be dimensionally incorrect.why?
inverse rule of x3-5
A bag contains 8 red balls and x blue balls, the odd against drawing a blue ball are 2: 5. What is the value of x? (An
Ask quesLa proporción de empleados de una empresa que usan su auto para ir al trabajo es 5:16. Si hay un total de 800 empleados, diga la cantidad de autos que se espera que haya es
la expresión que permite calcular el radio medio de la órbita de cada planeta es?
A student is allowed to select at most n-blocks from a collection of (2n + 1) books. If the total number of ways in which he can select a book is 63, find the value of n. Solution
Average Function Value The average value of a function f(x) over the interval [a,b] is specified by, f avg = (1/b-a) a ∫ b f(x) dx Proof We know that the average
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