When (3- 2x) is expanded in ascending powers of x, the range of values of x for which the expansion is valid is A -

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

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Q: Problem 7

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Q: Without expanding completely, find the indicated term(s) in the expansion of the expression.

A: Given, x1/2+y1/28 where n=8 total number of terms =8+1=9 middle term =n2+1 82+1=5 5th term is a…

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A: We are asked to find the right sum of the integral.

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Q: 2. Expand (1-x) in ascending powers of x until the term in x'. By using x= - find the 40…

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Q: [3] By using Tylor expansions of f(x* + h) and f(x* – h) at x* to construct (a) Forward difference,…

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Q: 15. Expand. 1+x 21 obtain an 100 in ascending powers of x up to the term in x. By substituting x =…

A: Here is the solution of the given problem.  Taylor series expansion::

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Q: Suppose real sequences (sn) and (tn) are bounded. (That is, that their ranges are bounded sets.) i.…

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Q: When the following functions are evaluated atvalues of x that are close to 0 there will be aloss of…

A: When the value of x approaches zero then it becomes very tough for the calculation and thus we have…

Q: Find the sum from k=1 to infinity of: [5/(3k+1)] using the limit comparison test.

A: Limit comparison Test:

Q: In a parhiculor bowling league. a sampla of 38.games had an average Score ef 199. a 90% Con fidence…

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: 3. It is easy to observe that root of f(x) = x2 -8 lies in the interval [2, 3]. Use Bisection method…

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Q: Evaluate (x2 – 2x³) dx using the limit of Riemann sums.

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Q: Find the lower sum for f(x)=x2 over [−1,1] with n=4. Give your answer in fractional form.

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

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Q: The first derivative of the power series 9 9x2 9x3 9x4 f(x)=9+ .. is 1! 2! 3! 4! O -9 f(x) O f(x)…

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Q: What is the upper sum for f(x)=17−x2 on [3,4] using four subintervals? Round to the nearest…

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Q: To find a zero of a function Ax) = x'-3x-2 by the Newton-Raphson iteration, the sequence {p,}n=0…

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Q: Find the first five nonzero terms of the Maclaurin expansion of f(x) = -e* - sin (x). (Express…

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Q: fCx) = x +sh2X ) critical numbers on 2) abs. max(min on

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Q: uce this to evaluate In xdx

A: The general formula for integration of xnlnx is , ∫xnlnx.dx=xn+1.lnx-xn+1n+1n+1+c Now we have to…

Q: If xi 2, 3dn-1+ 3"n-2 show that {xn} is convergent. identify the limit.

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Q: fi(n) = [n*/³] f2(n) = n[3] f3(n) = (/n)!/2 f4(n) = 2" /22n fs(n) = log3(n³) + log2(n")

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Q: Use series to evaluate the limit. 4 3 sin(2x) – 2x + lim 4/3

A: Given problem:-

Q: Expand (1- x) in ascending powers of x until the term in x'. By using x = - find the 40…

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Q: Find the limit as n -> infinity of ln((9n-7)/(6n+4))?

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Q: An ancient technique for extracting the square root of an integer N > 1 going back to the…

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Q: 10. Use Limit Comparison Test to determine whether the 2n – 5 п Zn=1 n² + 3n + 3 Ln=1 /n³ – n+ 1

A: As per our guidelines we have to solve one question Please repost other questions again

Q: Σ Why can't the integral test be used for the series K! K= 0 The function is not decreasing for all…

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Q: Suppose real sequences (sn) and (tn) are bounded. (That is, that their ranges are bounded sets.) i.…

A: Since sn and tn is bounded then there exist some finite reals Us,Ls,Ut and Lt such that:  Ls≤sn≤Us…

Q: how to find the reiman sum for f(x)=x^2/10 for the interval [2,6]

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Q: Prove that the sequence Un = 2n - 7/ 3n + 2 is monotonically increasing.

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Q: Find the Taylor expansion of the function f(x) = 4x – 2x3 -x about c = 0. (Express numbers in exact…

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Q: 8 1 6. Approximate ax by calculating the Riemann sum with 3 rectangles and using the right…

A: We have that a=2, b=8, n=3. Therefore, del x= 2Then find the three intervals.

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Q: Suppose we want to obtain a root of x-x-10 = 0. We can rewrite it as x = √x+10. If we use t…

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Q: f(x) = x^2 between x = 2 and x = 6 using a right sum with four rectangles of equal width.

A: Explanation and solutions is given below.....

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: The generating function of the sequence 5,5,5,5,5 is 1-x5 O (1-x) 5 1-5x° O (1-x) 1-125x5 (1-x)…

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Q: What is the lower sum for f(x)=18−x2 on [1,2] using four subintervals? Round to the nearest…

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Q: If x1, y1, are two positive unequal numbers and xn = (xn-1+ yn-1)/2 and yn= sqrt(xn-1yn-1)  for all…

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Q: Suppose that we wanted to show that lim does not exist. X - -1 X+1 Decide whether the argument below…

A: Ans is given below

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.