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Q: 1. Find the polynomial of degree three for the following data. Also find P(-2). X01 y 1 4 6 -1 -1

A: Numerical methods

Q: y'' - 10y' + (52 + 5)y = 25 sin 5x

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Q: Wilfrid's teacher gave him a graph to help him understand the speed at which a tooth on a saw blade ...

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Q: (c) Find the general solution of (2) in the case that -3 1 A = -3 -3

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Q: 2. Find the unit tangent vector T(t), principal unit normal vector N(f), and curvature x, for the gi...

A: Since you have asked multiple questions, we will solve first question for you. If you want other que...

Q: Draw and upload the schematic diagram of the following table. Use any platform (word, excel or take ...

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Q: Let B = {V1, V2, V3, V4} be a basis for Rª. Let T: R → R4 be the linear transformation such that on ...

A: Since you have asked multiple questions, we will solve the Question (c) for you. If youwant any spec...

Q: dy/dx = xy1/3, y(1) =1, find y(1.1) by Taylor’s series method

A: For the solution follow the next step.

Q: B) Let X = R be a metric space and consider the following subsets of X, %3D 1 1 S = (0,1), S2 %3D %3...

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Q: Suppose that f is integrable on A1 and A2 where A1 = {(x, y)|0 < x < 1, 0 < y <1+ x}, and A2 = {(x, ...

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Q: ZI/5] is a principal integral domain False O True

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Q: A new Cellphone Brand is for sale in installment 3,400 each month for 9 months at 3.6% compunded mon...

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Q: E. Inverse D- Ope rator 1. (D* + 3D + 2)y• 24cosOK + 3D + 2) y- 24 cos3x

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Q: Find the compound amount of each deposit and the amount of interest earned. 470 at 5.4% (0.054) com...

A: The compounded amount or the accrued amount using compound interest is calculated using the formula ...

Q: A bacteria culture starts with 3000 bacteria and grows to 50,000 in 3 hours. a) What is the doubling...

A: Given- A bacteria culture starts with 3000 bacteria and grows to 50,000 in 3 hours. To find-  What ...

Q: find fouwier sevies For the funchion 3. IT ct CTT

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Q: Question 15 Instructions: Please enter the entries of the resulting matrix into the provided fields;...

A: The solution is given as  

Q: Q2) Determine whether the given polynomials form an orthonormal set, and if not, use Gram-Schmidt pr...

A: For the solution follow the next step.

Q: What is the value of Kusing the ratio test given the series shown below: I+ - + - +-+ 3 + -+... 4 B ...

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Q: AEN O Euler's number, e = 2.7182 constant similar to 1. Since default base. Excel could h 1. 3 a) Co...

A: In the given question, the concept of exponential is applied. Exponential Function Exponents are use...

Q: 2. Find the sine series of Sx, 0 <x < T/2 T/2<x< T f(x) = TT - X, - x,

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Q: (5) If A = ; 1. then (A²)" = (a) id 16 7 151 (b) L10 221

A: Matrix multiplication of 2x2 matrix is given by  abcdabcd=axa+bxcaxb+bxdcxa+dxccxb+dxd   The transpo...

Q: ᴅᴇᴛᴇʀᴍɪɴᴇ ᴛʜᴇ ᴘᴏꜱꜱɪʙʟᴇ ᴛʀᴜᴛʜ ᴠᴀʟᴜᴇꜱ ᴏꜰ [(ᴘ → Q)⋀(ʀ → ꜱ)] → [(ᴘ⋀ʀ) → (Q⋁ꜱ)].

A: For 4 element we need 24=16 row for truth value  We will use following truth values to determine tru...

Q: Sketch the cosine graph that satisfies the following properties: period is 8, amplitude is 2, equati...

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Q: Let p be a prime divisor of the Fermat number Fn 22" + 1. : 2n+1 (a) Show that ord, 2 (b) Use part(a...

A: As per the question we have the Fermat number Fn = 22ⁿ+1 and its prime divisor p. Here we will use m...

Q: Suppose the domain of f(x) = [-2, 3] and the domain of g(x) = [-3, 2]. %3D %3D Find the domain of ea...

A: Solution: Given, Domain of f(x) = [-2,3]  and domain of g(x) = [-3,2]

Q: For items 14 through 20, consider the functions f(x) = x3 – 15x? + 75x – 125 and k(x) = x2 – 25. %3D...

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Q: Let A be a non-empty subset of the metric space (X,d). show that |d(x, A)- d(y, A)| < d(x, y)For all...

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Q: 1. Find the polynomial of degree three for the following data. Also find P(-2). X01 1-1 1 -1 4 6 2. ...

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Q: e? O Evaluated the counter integral -dz ,where C z° +z -z-1 1. The circle z= 0.5 2. The circle z+1-i...

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Q: For each of the following functions on R', determine whether it is quasiconcave, quasiconvex, both, ...

A: A function f : S → R ...

Q: State the transformations in the proper order for the function y =-3sin %3D ++20°

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Q: Determine the equation of the sine function that would have a period of 120°and range 3<y<11, ye R}

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Q: 2. Determine the equation of the following graph using (i) sine function (ii)cosine function Show al...

A: To determine the equation of the curve of the given graph using both sine and cosine functions.

Q: Let V be a four-dimensional vector space, and let S be a subset of V consisting of three vectors. Th...

A: The dimension of a vector space is the number of independent vectors that spans the vector space. Pr...

Q: + 6x3 4 X2 + (а). 8x, + 3x3 1 + X2 + 9x2 7 - || ||

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Q: 1. Find the laplace transform of, f(t) =sin(t +a)cos(t -a) using So e-stf (t)dt.

A: Finding laplace transform using above method

Q: Find the area of the region bounded by the curves y 5x, y 2x-3 in the first quadrant. %3D

A: For the solution follow the next steps.

Q: Derive the following functions with simplification whenever possible. Expansion and LCD are not mand...

A: 1st we need simplify the function then its derivative .  

Q: a. The ordinary differential equation below is of order Select an answer v and is Linear OR Nonlinea...

A: Order of differential equation: The order of differential equation is the order of the higest deriva...

Q: 1. Write the following sets in Rooster Method and Set Builder Notation (a) The set of positive integ...

A:  ROOSTER FORM:- A method of listing the elements of a set in a row with comma separation within curl...

Q: Calculating Equivalent Units. Complete the requirements for each item in the following. A universit...

A: A university has 500 students enrolled in classes. Each student attends school on a part-time basis....

Q: Please select the correct answer

A: Answer:

Q: 4. When Sarah was 7 years old, her parents invested $10 000 for her in a plan that earns 5 % per yea...

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Q: D; Exponential Shifting ,Theorem 2. (D* + 4D+ 4) y- 'o4 e-*

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Q: 1. Given g(x) = 2f(- (x + 3)) – 1: a. State the transformations applied to f(x) in order to how they...

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Q: [4 and B matrices please find following values; For A = %3D A. A+B=? В. ЗА-2B-? C. AB=? D. detA=?

A: If a scalar( constant) is multiplied to a matrix, it is multiplied to every entry of the matrix. Let...

Q: In the ring Q[x], every prime ideal is maximal. O True O False

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Q: 5. If b > 0, prove that lim = 0. %3D 1+nb

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as...

Q: 1 So |1 – 2æ|x²dæ

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