Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
Find a power series representation for the subsequent function and find out its interval of convergence.
g (x) = 1/1+x3
Solution
What we require to do here is to relate this function back to f (x) = 1/ (1-x). In fact this is easier than it might look. Remind that the x in f (x) = 1/ (1-x) is simply a variable and can represent anything. Thus, a quick rewrite of g(x) gives,
g (x) = 1/ 1- (-x3)
and so the - x3 in g (x) holds the same place as the x in f (x) = 1/ (1-x). Therefore, all we need to do is replace the x in
and we've got a power series representation for g (x).
Note: we replaced both the x in the power series and in the interval of convergence.
All we need to do now is a modest simplification.
Thus, in this case the interval of convergence is similar as the original power series. This generally won't happen. Much more frequently, than not the new interval of convergence will be dissimilar from the original interval of convergence.
Multiplication Rule: Dependent Events The joint probability of two events A and B which are dependent is equal to the probability of A multiplied by the probability of B given
Explain Histogramsin details? Another way to display frequencies is by using a histogram. The following is an example of a histogram using the data from the previous example:
solve the differential equation dy/dx=f(y)x^n+g(y)x^m by finding a one-parameter group leaving it invariant
Adison earned $25 mowing her neighbor''s lawn. Then she loaned her friend $18, and got $50 from her grandmother for her birthday. She now has $86. How much money did Adison have to
Given f (x) =10x^3 - x^5 , find all intervals(in Interval Notation) of Concavity and the x-values of all Inflection Points.
Ask queThe low temperature in Anchorage, Alaska today was -4°F. The low temperature in Los Angeles, California was 63°F. What is the difference in the two low temperatures?stion #M
How many ways can 4 DVDs be arranged on a shelf? Solution: There are 4 ways to choose the first DVD, 3 ways to choose the second, 2 ways to choose the third and 1 way to choo
I need to simple this rational expression, but I can''t figure out how. (x+1)/(x^2-2x-35)+(x^2+x-12)/(x^2-2x-24)(x^2-4x-12)/(x^2+2x-15)
In a recent survey of 700 people, 15% said that red was their favorite color. How many people said that red was their favorite color? Find out 15% of 700 through multiplying 70
0.34/100
Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!
whatsapp: +91-977-207-8620
Phone: +91-977-207-8620
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd