1 The improper integral -dx x²+2x+5 O None O diverges converges to 3n converges to converges to

Q: The improper integral -dx is (x+2)® 1 converges to O Diverges converges to converges to converges to…

A: ∫-1∞1x+295dx=∫-1∞x+2-95dx                                =-541x+245-1∞…

Q: Use the Integral Test to determine the convergence or divergence of the p-series. 1 n3 n = 1 dx = O…

A: Convergence using integral test

Q: The improper integral | 1 -dx is (x+2)9 O None Diverges converges to 5 converges to converges to 5…

A:

Q: 1 Determine if the integral [Inxdx converges or diverges. 0

A: Given problem:- Determine if the integral ∫01ln(x)dxconverges or diverges

Q: 1 dx is convergent If n>2 , the integration 1 Select one: O True False

A: Given:     ∫1∞1xndx      =∑n=1∞x-n is an infinite geometric series with the first b=1x and the…

Q: 1 Use the integral test to determine if Ln=1 13 converges or diverges. (2n + 3)

A:

Q: 12. Determine whether the improper integral dx converges or diverges. Show all work.

A:

Q: The improper integral de x+4x+8 converges to converges to * converges to O None diverges

A: Put (X+2) = t and expand

Q: The improper integral 2 dx (x-1)* X - a) Converges to -2 b) Converges to -5 c) Converges to 0 d)…

A: solve the following

Q: The improper integral 5dx is do V1-x² 0. O convergent to I O none convergent to * 2 5 л convergent…

A:

Q: The improper integral 1 dx is (x+2)® -1 converges to 5 converges to Diverges 5 converges to 6 None…

A:

Q: de -- e* + 4e* -00

A: Given

Q: The series: (-1)" tann n=1 Da. converges absolutely Db. converges conditionally Dc. diverges 8.

A: Answer is following.

Q: dx 3) L. Vx+1

A: Given:

Q: i) Prove that the series sin nx n2 n=1 converges pointwise on R, and uniformly on any finite…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

Q: The improper integral 1 3dx is /1-x² none 5 л convergent to- 2 convergent to 2 convergent to 7…

A: Given: ∫0131-x2dx

Q: The improper integral dx 2 x2+4x+8 converges to 4 O None converges to 37 converges to O diverges

A: Topic- integration

Q: (c) Show that fn (x) : x2+n? converges uniformly on [0, 0).

A:

Q: Use the Integral Test to determine the convergence or divergence of the p-series. n = 1 dx =…

A:

Q: The improper integral 2dx is 1-x2 convergent to 2 3π convergent to convergent to TI none 5 TT…

A: use the substitution method to solve the integral

Q: 0. The improper integral | x²+4x+8 -0- converges to 4 converges to 8. None converges to 4 diverges

A:

Q: Use the Integral Test to determine the convergence or divergence of the p-series. 00 n6 n = 1 dx =…

A: we have to test whether the given series is convergent or divergent

Q: The improper integral 5dx Is V1-x2 convergent to 2. convergent to 2. convergent to 2. O none

A:

Q: 3. The numerical series log O converges to a ptive number O diverges to+0. Odiverges to-0. O…

A: We can find whether the given numerical series converges or diverges using limit comparison test.

Q: The improper integral dx x²+4x+8 converges to 4 converges to - TC O diverges O None converges to 37

A:

Q: The improper integral -dx is -1 V+2)7 converges to 5 converges to 6 None O Diverges converges to…

A:

Q: of P converges Find the Value which the integral absoluley condition. Sin () dx

A: To find the value of p for which the integral ∫1∞sin(1x)xpdx  converges absolutely. The improper…

Q: 2. Determine the convergence of the improper integral e² In x dx.

A: Take the integral, ∫0∞xlnx=lnxx22-∫0∞1x.x22dx=x2lnx2-x240∞=∞ As after taking x→∞ the limit of the…

Q: 11. Determine the divergence or convergence of the following improper integrals and evaluate if it…

A:

Q: Determine whether the improper integral -z²+3x+1dx converges or diverges. Show all your steps. e

A:

Q: Determine whether the improper integral ∞∫−∞dxx2+2x+8 converges or diverges?

A:

Q: Use the Integral Test to determine the convergence or divergence of the p-series. 1. ,0.9 n = 1 1 dx…

A:

Q: 1 Determine whether the integral #(lnr)3/2 da converges or diverges. If it converges, give its…

A: I have used limit method  to evaluate

Q: The improper integral | 1 (x+2)6 dx is converges to 5 3 converges to 5 Diverges O None converges to…

A: We have to solve

Q: Determine whether 1∫5 4/(x-2) dx is convergent or divergent. If it is convergent state what value…

A:

Q: 1) Determine if the following integral converges or diverges. If the converges determine its value.

A: we use integral test to find out converges or diverges

Q: ) Compute the value of the following improper integral. If it converges, enter its value. Enter…

A:

Q: Determine whether the integral ∞∫0dxx2+2x+2 converges or diverges?

A: Given:

Q: The improper integral dx is (x+2)8 1 O None converges to Diverges 5 converges to converges to 5…

A:

Q: Does the series from 0 to infinity of 10/(k^2+9) converge or diverge using the integral test?

A:

Q: 1dx x²+2x+5 -00 O diverges O None 37 converges to 4 converges to converges to converges to 3r

A:

Q: The improper integral 1 -dx (x+ 3)3 is convergent. Select one: True False

A:

Q: 8. 1 The improper integral xp: V(x – 4)³ 4 Converges to -1 Converges to -4 Converges to 1 Diverges

A: To find the improper Integral  Take (x-4) = t And the limits accordingly Then integrate and put the…

Q: 1 -dx x²+2x+5 -00 3n converges to O diverges converges to 3 4 O None converges to 4 converges to

A: Answer is 3π/8.   First option is correct one.

Q: If |fn(x)| < an for all x and Ln=1 an converges, prove tha En-1 fn(x) converges uniformly. n=1

A:

Q: 23. Suppose N is a positive integer, a, -f(n), and f(x) dx diverges. What does the integral test…

A:

Q: Can we use two ways to show 1 Σ n² +5n+6 n = 0 to n = infinity, convergent or divergent ? Say, 1)…

A:

Q: The improper integral 2 - dx x²+4x+8 converges to 37 converges to * converges to diverges None

A: Solving the definitely integral

Q: The improper integral | 1 x²+2x+5 1 O None O diverges converges to 8 converges to 37 4 O converges…

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.