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Write an octave program that will take a set of points {xk, fk} representing a function and compute the derivative at the same points xk using
1. 2-point forward dierence
2. 2-point backward dierence
3. 3-point central dierence
4. 5-point central dierence
Use your program for the function
f(x) = ex
for which you know the correct answer to study the result as a function of h in the interval x ∈ [0; 1]. Make a table showing the values of the maximum absolute and relative errors for the 4 dierent methods for values of n=10, 100, 1000, 10000. Plot the dierent estimates for the derivative together with the analytical answer for 2 values of n. Comment on your results. You should submit an octave script or function le I can use to reproduce your results and a separate document (plain text le preferred) for your comments.
square root of 78269
Last year Jonathan was 603/4 inches tall. This year he is 651/4 inches tall. How many inches did he grow? Subtract to find outthe difference in heights. You will need to borro
We'll include this section with the definition of the radical. If n is a +ve integer that is greater than one and a is a real number then, Where n is termed as the index,
(i may have spelled it wrong)but i forgot how to do them.
a ,b,c are complex numbers such that a/1-b=b/1-c=c-1-a=k.find the value of k
A solution to a differential equation at an interval α Illustration 1: Show that y(x) = x -3/2 is a solution to 4x 2 y′′ + 12xy′ + 3 y = 0 for x > 0. Solution : We'll
functions f&g on R to R such that f=\g but fog=gof
Write Triangles Named by the Lengths of Their Sides? An equilateral triangle is a triangle with three congruent sides. All three sides of this triangle are the same lengt
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