Solve the following system of equations using LU Decomposition method: X1 +2X2+ 4X3 = 3 3X1 +8X2 + 14X3 = 13 2X1 + 6X2 + 13X3 = 4 %3D

Q: Determine (with proof) if there exist integers m and x such that 2003m 2 = 2.x(x – 20). If they exis...

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Q: (a) the boy con only make UP pnd Right moves anly he de food? the How many parths (b) If he mandemly...

A: We will use basic logic to answer both parts. Note that in the question post, only two parts named (...

Q: a. Find domain of g(x) and h(x). b. Find (f + g)(K +F). c. Find (h of-1)(x) in simplest form.

A: As per the company rule, we are supposed to solve only the first three subparts. Therefore kindly re...

Q: 4. Evaluate the integral I = sin? x dx Include 4 decimal places on your computation. a. single appli...

A: Trapezoidal rule  ∫ab f(x)dx=  Δx 2​ f(x0)+2f(x1)+2f(x2)+2f(x3 )+⋯+2f(xn-1 )+f(xn) Where ∆x=b-an   S...

Q: Bessel Function Engineering Analysis 2020-2021 J/2 = 2 sin (x) J-1/2 = 2 cos (x)

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Q: 4. Consider the following table of values of f(x) = e². 0.0 0.2 0.6 f(x) | 1.0 1.22140 1.82212 (a) A...

A: Note that you have explicitly written at the top of your question post that you want us to solve onl...

Q: With an annual inflation rate of 1.91%, how much did an item that now costs $8600 cost 8 years prior...

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Q: Problem Solving by Polya's Strategy Solve the following problems using any method. There are 16 fr...

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Q: [13 17 61 B =|-1 -4 2 -2 31 19 C = 20 -4 -1 3 -11 12 2 A =5 2 7 -9 10 2 2 -5 -3 -11 1 -10 -3 -6 2 18...

A: Solution

Q: A = -2 Find the inverse of the Matrix:

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Q: 6.

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Q: Z = (1– j)!-2j

A: We have to find the real and imaginary part of the complex number Z=1-j1-2j. So we have to write Z i...

Q: -, first prove that )" 6.

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Q: Convert each equation from polar to rectangular form. 9) r= 4csc 0 10) r= 2sin (0 +") 11) r² = 5sec ...

A: We have to use relation between cartesian and polar co ordinate system  x = r cosθ  , y= r sinθ Squa...

Q: Question: Consider a minimization linear programming problem in standard form. Let x be a BFS associ...

A: Solution :-

Q: . Scores of students in a mathematics test 82 75 92 96 78 82 77 88 90 95 85 86 Q, = Q, =

A: Statistics:  the lower and upper quartiles

Q: If a F (2) = xy+i (x² – y²), what is F (-1+2i)?

A: given  F(z)=xy+i(x2-y2) To find the value of  F(-1+2i)

Q: Z3

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Q: Show solution

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Q: Describe how csc t varies as t increases from 0 to T/2. R (0, 1) cot t Q P(x, y)t units t radians co...

A: let y=csct and t∈0,π2 claim- to determine how csct varies as t increases  

Q: The graph of an exponential func

A: Given,        

Q: Let G be a group with |G|=187 then every proper subgroup of G is: Non abelian O Non cyclic O Cyclic ...

A: We will use basic knowledge of group theory to answer this question.

Q: Use the sequential runoff method to determine the winner if a majority cannot be determined. Votes 3...

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Q: ing by Polya's Strategy Solve the following problems using any method.    A frog was at the bottom o...

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Q: 13. Which graph could represent an exponential relation? a. b. 14. Which statement is true about the...

A: 13.  The graph in option (a) represents a line. Therefore, it must be a linear function.

Q: Theorem 1: Suppose f(m, n) is a double sequence on R such that f(m, n) > 0. Then, E f(m, n) converge...

A: We will only use the basic knowledge of real-valued series to answer this question.

Q: Find the value of Vx+3-/3 lim lim,-5* |x-5|(x²+5) (x-5) 1 O -20 2+/3 O 130 O none О 30 2 V3 O None 1...

A: 1) find the value of limx→0x+3-3x rationalize the numerator limx→0x+3-3x=limx→0x+3-3x×x+3+3x+3+3    ...

Q: The function f is defined by f(x) = ax +b . Given that f(-2) = 27 and f (1) = 15 find the value of x...

A: Given that f(-2) = 27   and  f(1) = 15 we have to find value of x such that f(x) = -5

Q: Let r(t) = 15t? + 72t, ( 6t 4/26t3/2 for t20. Find the length %3D of the trace of r from t 0 to t = ...

A:   Arc length in 3d To determine the length or length of trace of a curve given by  a vector function...

Q: 1.) Show that the premises "If you send me an email message, then I will finish writing the program,...

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Q: te the integral I = Include 4 decimal places ox +6x+10 single application of the trapezoidal rule, m...

A: Consider the function f(x)=1x2+6x+10. The interval of integration is [0,1]. Therefore the change of ...

Q: You are thinking of making your home more energy efficient by replacing some of the light bulbs with...

A: Given- You are thinking of making your home more energy efficient by replacing some of the light bul...

Q: 5. Use appropriate Lagrange interpolating polynomials of degrees one, two, and three to approximate ...

A: Note : according to our guidelines we can answer only first question

Q: Thirty-two men can reap a field in 18 days. If the field is to be reaped in 12 days, how many men wi...

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Q: Solve the following  complex numbers in their rectangular form. Use  4

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Q: Convert each equation from rectangular to polar form. 5) (x – 1)² + (y + 1)² = 2 6) x = y? 7) x = y ...

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Q: Determine whether the series is convergent or diver gent by applying either the comparison test or t...

A: WE WILL USE LIMIT COMPARISION TEST  If we have two series ∑an  and ∑an with  an≥0 and bn>0 for ...

Q: (а) п! —D О(п") (b) n" + 0(n") (c) log2(n!) = 2(n log2 n)

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Q: Determine the volume of the solid formed by revolving the area bounded by 9x2 + 36x + 4y2 + 24y + 36...

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Q: For each of the following problems, perform these steps: • Write the dual problem for the problem as...

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Q: -4x – y – 6z = -39 -9x + 7y + 4z = 47 – 7x – 6y + z = -52

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Q: 2. s Consider the problem of approximating the value of v3 as a root of f(r) = 1 -3. (a) Calculate a...

A: We will use the basic knowledge of the Secant method to answer this question.  

Q: tan(z1) 0.9947 + 0.1462i 0.0364 1.0047i

A: The definition of tangent function for complex number is tanz=e2iz-1i(e2iz+1). Use 4-2i for z1 and t...

Q: 3. Find the determinant: a) Using Pivotal Element Method only in all the steps b) Using Chio's Conde...

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Q: In how many ways be keo arrangedn ciscle? O that 15 cars many ways 15 of 20 cars a 9. can be soladou...

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Q: ylx + e (^-x)&y=c A 3x %3D e) (ay-3x) dx +xdy

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Q: Determine the center Z(S) of S.

A: This is a problem of Group Theory.

Q: Determine the number of zeros for each function. Show your work and/or explain your reasoning for ea...

A: (a) Simplify the given function.  

Q: A solid has a circular base of radius 20 units. Find the volume of the solid if every cutting plane ...

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Q: Question 1 -2 2 -3] Find the Eigen values of the matrix A = 2 1 -6 -1 -2 Also, prove the following p...

A: Since there are Multiple question we solve the  first one. Post the question again and mention the q...

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.