QI/ A/ Expand with binomial formula: (1-)* 2

Q: Express f(=) = in a series of positive and (: – 1)(:– 3) negative powers of (: – 1) -

A: Given problem is :

Q: Show how series is divergent

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Q: Find the sum by adding each term together. Use the summatlon capabilitles of a graphing utility to…

A: we have to find sum.

Q: (2x2 + 3)3 1. (5x3 + 5)3

A: As per the company rule, we are supposed to solve one problem. Therefore kindly repost the remaining…

Q: If gan converges and Σbn diverges, can anything be said about their term-by-term sum Σ(an + bn)?…

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Q: A lake initially contains 1000 fish. Suppose that in the absence of predators or other causes of…

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Q: Solue the recurrence relation without using generating functions %3D With initial values ho =-1 and…

A: Given: hn=2hn-1-2hn-2.

Q: Expand in binomial theorem (2x-y)7

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Q: constant

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Q: A person deposits $1000 in an account that yields 5% profit compounded annually. i) Set up a…

A: Let the amount in the account at the end of the nth year be An. Then, the amount in the account at…

Q: ® Investigate the conurgence of 3. Convergence 2.

A: The given expression is ∑n=1∞n!2en2. We have to find whether the given series is convergent or…

Q: ii. Investigate convergence or divergence of 2n + 100 3n +1). n=2

A: Given series is  ∑n=2∞-1n2n+1003n+1n

Q: Prove the z-transforms for common sequences summarized

A: So as per as our guidelines i am supposed to answer only 1 question please repost remaining part

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Q: Expand f(2) 7 in powers of (2 - 10) . Also clearly mention the domain in which this expansion is…

A: Given f(z)=z/(z-8) in powers of (z-10)

Q: A lake initially contains 1000 fish. Suppose that in the absence of predators or other causes of…

A: Let ,     an =fish population at nth month     an-1= fish population at n-1th monthGiven ,…

Q: An example of: Σ(an/bn) may diverge even though Σan and Σbn converge (show each step please)?

A: We have to show that Σ(an/bn) may diverge even though Σan and Σbn converge

Q: converges or diverges. I-

A: We have to find out the given series is convergent or divergent. If the series is convergent then we…

Q: 01. A gardener was observing thd behavior of the roses that he transplanted a week ago. He observed…

A: ANSWER :

Q: () Expand (4x- 2) by using Maclaurin's series. Ans = -8+48x-96x² +64x3 %3D

A: Dear learner,.As per our guidelines, we can provide the solution for first one only. Kindly post…

Q: Poove 4 is an upper bound of f2,4) also poove sup (2,4)= 4

A: To prove that 4 is an upper bound of (2,4) and Sup (2,4)=4. Definition:1 Upper bound : Let S is a…

Q: Write a closed-form formula for the generating function with these coefficients: (0,0,0, 1, 2,3, 4,…

A: We will find out the required solution.

Q: 1. Find the 4th term of y (*- 2y*) using the Binomial Theorem.

A: The solution are next step

Q: Find the solution to this recurrence relation an=2nan-1, a0=1 using an  iterative approach

A: We have to find the solution of the given recurrence relation.

Q: sin 5) Show that 2 * converges/diverges N-1

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Q: Determine whether 65"+¹ is convergent or divergent. O divergent O convergent a=1

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Q: Check the convergence of J (x-2)²

A: Let x-2=tThen dx=dti.e.∫-∞11(x-2)2dx∫-∞-11t2dt      [x=-∞, t=-∞-2=-∞]  [When x=1, t=1-2=-1]

Q: Let An be the number of population of a certain bacteria in a day.  This population number obeys the…

A: Given- An be the population of a certain day and An=4(An-1-An-2) with a0= 3, a1= 10  To find- Solve…

Q: 1. Σ 4n2 in 8n +3

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Q: Write the following in dosed form (no summation symbol) using the binomial theorem. |(2)"-*6* ==0

A: We are asked to write the given in the closed form.

Q: Give a recursive definition (with initial condition(s)) of (an) where (n = 1, 2, 3, . . . )

A: We have, an = 212nWe have to find a recursive definition with initial conditions of an starting from…

Q: prove its true by mathematical induction

A: The mathematical induction technique is used to prove the validity of the statement for every…

Q: DEFINE Binomial approximation

A: Binomial approximation: The normal distribution can be used as an approximation to the binomial…

Q: Find the recursion for a population that doubles in size every unit of time and that has 14…

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Q: Let X,X2 uith Parameters ----Kn bears from binomial distr'bli- n ando

A: From the given information, X1,X2,.....Xn from the Binomial distribution with parameters n and θ.…

Q: Find the sum of the first five natural even numbers using sigma notation.

A: We have to find sun of first 5 even natural numbers.

Q: Find the sequence corresponding to generating function 1/(1-az).

A: We will find out the required sequence.

Q: Consider the expansion of Use the Binomial Theorem to write the above expansion in simplified sigma…

A: The Binomial theorem expansion of (a+b)n can be expressed in sigma notation form as follows:

Q: Show that (i) Simple aggregative index numbers (ii) Marshall-Edgeworth index number, (ii) Walsch…

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Q: b) Suppose that the number of bacteria in a colony doubles every hour. i) Set up a recurrence…

A: (i) Given that number of bacteria  doubles every hour, the recurrence relation for the number of…

Q: Rewrite -ln(3)+ln(4)-ln(5)+...+ln(20) using summation notation.

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Q: A person deposits $1000 in an account that yields 9% interest compounded annually. a) Set up a…

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Q: 2. Use the Binomial Theorem for the expansion of the function as a power ser: S(x) = V1+ 3x²

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Q: а, — 2ад-1 + За, -2 + п, ag — 0, ал — 1.

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Q: 4. Which one of the sequences below is divergent?

A: Clearly in the first option degree of the numerator is greater than the denominator.

Q: Find the ordinary generating function for the sequence 0,0,0,0,1,1,1...(Hint: it is not a…

A: We need to find an ordinary generating function. The sequence is 0,0,0,0,1,1,1,.... Consider:…

Q: 10 Use Binomial theorem to expand 2x .Which member contains the power x' ?

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Q: Find the solution to this recurrence relation an=nan-1, a0=5 using an iterative approach

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Q: Calculate Sxe 0 re-L₂ (x)L(x)dr by using Recurrence relation of Laguerre function, Ln

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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.