Suppose we use a 6-th degree polynom, PeW to estimete gox) = 2e* with data points (Xi,9(X;)) where the Xi's are evenly spaced over the interval and include the endpoints of the interval. Given an upper bound on the eror 190-25)-Po(023) on [0,25]

Q: Without doing any calculations in Aut(Z105), determine how manyelements of Aut(Z105) have order 6.

A: Given: Automorphism, AutZ105To find: Number of elements of AutZ105 having order 6.

Q: Which of [0], [1], [2], [3], [4] is equal to [3]^2023 in Z_5? What is [15]^1989 congruent to in…

A:

Q: need to use L'nopitals indteterminate X2+3x+2 Why do we ile an to find limit such as, Jim If both…

A:

Q: 10. Show that the interval (0, 1) is covered by the open intervals In (1/n, 1- 1/n), n 2 3, but (0,…

A:

Q: Let ECR. A point a E R is called a cluster point of E if En(a-r, a+r) contains infinitely many…

A: Given: E is bounded infinite subset of ℝ. To prove: E has at least one cluster point.

Q: 6. Describe the left cosets of SL2(R) in GL₂(R). What is the index of SL₂(R) in GL₂(R)?

A: The left coset for a group G with a subgroup H, tis defined by . Since  can be changed; therefore,…

Q: Tell whether each of the following questions is biased or fair. Why? a. What type of music do you…

A: Part(a) The correct option is option A. Because in option A has the  question does not make an…

Q: Let f and g be permutations. Show that the order of h=fgf^−1 is the same as the order of g.

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Q: 2. 2) tan- 1 4) sin- 6) tan-1 V3 -1 01_ V3 10) sin -1 2. 12) tan-! 3.

A:

Q: FX)= (x-4)²

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

Q: Consider periodic funch'on with pe2 a even f(x) = 2+ēX %3D using tee periodic funchions propechies,…

A: Since it is a period even function, now follow the steps below.

Q: a) Compute the quotient (22 + 2i) / (2 + 2i) b) Suppose z = (In 2) + i (pi/2). Compute e^z

A: " Since you have posted two questions, we will solve first question for you. To get another question…

Q: Which formulas are tautologies? Select all that apply. (p-q)-(p¬q) O-(-piq) pvp O-(-p^ (pv q)) → q

A: The given formulas are p→q↔¬p∧¬q, ¬¬p∧q, p∨q and ¬¬p∧p∨q→q. To determine which formulas are…

Q: Find the FOURIER Scrics FOR the qiuen F Gx) = 18 -ヤEXトO ○と XCT PCメキてび)= FCx)

A:

Q: show all th work with correct ans

A: [10  -10  -15]ATA=[-10  20   20]          [-15  20  25]               [10  -10…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.