Question

In: Advanced Math

Determine the convergence or divergence if each integral by using a comparison function. Show work using...

Determine the convergence or divergence if each integral by using a comparison function. Show work using the steps below:

A. Indicate the comparison function you are using.

B. Indicate if your comparison function is larger or smaller than the original function.

C. Indicate if your comparison integral converges or diverges. Explain why.

D. State if the original integral converges or diverges. If it converges, you don’t need to give the value it converges to.

16. integral from 0 to 1((e^(-x))/(√x)) dx

Solutions

Expert Solution


Related Solutions

Use an appropriate comparison test to determine the convergence/divergence of the following series: a.)∑ n= (1)/(√n−1)...
Use an appropriate comparison test to determine the convergence/divergence of the following series: a.)∑ n= (1)/(√n−1) (Upper limit of the sigma is ∞ and the lower limit of the sigma is n=2) b.) ∑ n=n(n+1)/(n^2+1) (n-1) (Upper limit of sigma is ∞ and the lower limit of sigma is n=2) c.) ∑ n= cos^2(n)/ (n^3/2) (Upper limit of sigma is ∞ and the lower limit of sigma is n=1) d.) ∑ 5^n/(√n4^n) (Upper limit of sigma is ∞ and the...
For each of the following numerical series, study its convergence or its divergence, by specifying the...
For each of the following numerical series, study its convergence or its divergence, by specifying the criterion used Let? (?) = ∫cos (?3) dx (a) (3 points) ExpressF (x) as a series of powers. (b) (2 points) Limiting to the first four non-zero terms of the previous series, estimate the value of ? = ∫√? cos (?3) ??. −√? (c) (1 point) Evaluate the error made by this approximation.
Conception of the Integral and convergence of the function 1. We know that if fn—->f is...
Conception of the Integral and convergence of the function 1. We know that if fn—->f is (point-wise or uniformly)and every fn in the interval is Riemann integral, then will f be Riemann integrable on [a,b]? please answer this question separately in pointwise and uniformly.
1. expand each function in a Taylor Series and determine radius of convergence. a) f(x) =...
1. expand each function in a Taylor Series and determine radius of convergence. a) f(x) = 1/(1-x) at x0 = 0 b) f(x) = e^(-x) at x0 = ln(2) c) f(x) = sqrt(1+x) at x0 = 0
Answer & show work andswer and show work answer n show work Using a sample of...
Answer & show work andswer and show work answer n show work Using a sample of 20 people, the testing agency found that 14 of them had better protection than that provided by the competitor. Do you have enough evidence to say/claom that your suncreen lotion provides better protection than the competitiors in a majority of cases? Use alpha = 0.01 to answer. 1. What are the apporiate hypotheses for situation? 2. the appropriate rejection rule is? 3. the calculated...
Determine the output of the algorithm below the number of assignment operations in each (show work)...
Determine the output of the algorithm below the number of assignment operations in each (show work) the number of print operations in each (show work) the complexity of each algorithm in terms of Big O notation (show work) 3. Let n be a given positive integer, and let myList be a three-dimensional array with capacity n for each dimension. for each index i from 1 to n do { for each index j from 1 to n/4 do { for...
Show that Thomae's function is Darboux/Riemann integrable and its integral is equal to 0.
Show that Thomae's function is Darboux/Riemann integrable and its integral is equal to 0.
Show full work: Please make sure to start the comparison with -infinity and NO NOT COUNT...
Show full work: Please make sure to start the comparison with -infinity and NO NOT COUNT SWAPS! Sort the list A[ ]={ 20, 13,4, 34, 5, 15, 90, 100, 75, 102, 112, 1} using Insertion Sort and determine the total number of comparisons made (do not count swaps)
SHOW WORK Draw the hash table that results using the hash function: h(k)=kmod7 to hash the...
SHOW WORK Draw the hash table that results using the hash function: h(k)=kmod7 to hash the keys 41, 16, 40, 47, 10, 55. Assuming collisions are handled by Double hashing. SHOW WORK
Determine a lower bound for the radius of convergence of series solutions about each given point...
Determine a lower bound for the radius of convergence of series solutions about each given point x0 for the given differential equation. (1 + x^3)y'' + 4xy' + 6xy = 0    x0 = 0. x0 = 4
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT