Reference no: EM131027679
Please see the attached file for the fully formatted problems.
Let g be a function which can be differentiated four times on the interval [-1,1].
Denote .
1) Show that when g is a polynomial of degree less than or equal to 3.
2) Let P be the interpolation polynomial of f at the points -1, , , 1.
a) Show that .
b) Show that , where and is a constant which you will evaluate.
c) Deduce a number which is greater than or equal to the error .
3) Let f be a function which can be differentiated four times on an interval [a,b].
Let . Using x, show that the integral f can be calculated on [a,b] with the help of an integral on [-1,1].
4) Deduce an approximation of .
5) Using this method, calculate an approximation of .
Attachment:- 19Nov2002 - ex1.zip
|
Have the directors of blue mine breached their duty
: Have the directors of Blue Mine breached their duty to exercise their powers and discharge their duties in the interests of Blue Mine? Would your answer be different if Blue Mine's constitution included a provision reflecting s187 of the Corporati..
|
|
Show that a is real for any natural n
: Show that for n=3K where K is a natural number, A=2
|
|
What do u believe on lalo that made his music so influence
: What do u believe it's about Lalo that made his music so influence and revenant to Chicano community?
|
|
Why can we say that technological innovation was significant
: Why can we say that technological innovation was just as significant in building American cities as it was in driving American industrialization?
|
|
Deduce a number which is greater than or equal to the error
: Let f be a function which can be differentiated four times on an interval [a,b].Let . Using x, show that the integral f can be calculated on [a,b] with the help of an integral on [-1,1].
|
|
What knowledge about career and educational planning do need
: As the counselor, what knowledge about career and educational planning do you need to begin your work with this teen? How would you go about locating resources that would be helpful for the teen and his family
|
|
Identify three specific domestic reforms achieve by napoleon
: Identify three specific domestic reforms achieved by Napoleon Bonaparte and discuss which reform that you feel had the greatest and most far-reaching effect on France's future.
|
|
Writre about eu russia and us influence over balkan politics
: Writre an essay paper about Eu, Russia and United State's influence over Balkan Politics Analysis. I need 3 Essays each containing 700-800 words.
|
|
Develop a flowchart showing the logical steps
: The data sets represent species of trees, drainage level, and parks respectively. You are asked to find suitable locations (cells) where grow "J' trees, the drainage levels are greater than 1, and the parks are at least 30 meters away. Develop a f..
|