Advanced Search

Question: HELP (URG)!!! PLEASE MAPLE 11

Question:HELP (URG)!!! PLEASE MAPLE 11

uni_student 4 Maple
plot student
April 04 2008
0

Please help me solve these two problems please past the code for maple 11.

2. For the function

f

(x) = exp(x) − 3x2,

(a) Use a Maple plot to show that there is a zero of the function in the interval [2

(b) Implement Newton’s method for this function with an initial guess of

should be set to loop for 100 times, but using an

, 4].x0 = 2.9. The programif ... then ... end if:

command stop the execution when

Newton’s method is given by

|f(xn)|  0.000001; this is called a stopping condition.

x

n+1 = xn −

f

(xn)

f

0(xn) , n = 0, 1, 2, 3, . . .

with an initial guess

x0.

3. The Fibonacci Sequences are used in a number of areas of mathematics from the breeding of

rabbits to search schemes. The sequence is given by the recursive formulae

x

n+2 = xn+1 + xn

where

x1 = 1 and x2 = 1.

(a) Calculate the first five terms by hand, for example

x3 = x2 + x1 = 1 + 1 = 2.

(b) Write a small program using a loop to calculate and print out the first 20 values.
Please Wait...