Q5) Evaluate the following integral by using Partial fractions Method: x- x = t + 1). (x – 1)² dx (x2 + 1). (х - 1)2

Q: 1 -13] is decomposed into two square matrices lower triangular and upper triangular, – 27 352 If mat...

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Q: Find a basis for R³ that includes the vectors (-1,0,2) and (0, 1, 1).

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Q: c) For a set X = {1,2,3, 4, 5}, let P be the partition {{1,3, 4}, {2}, {5}}. In the equivalence rela...

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Q: The flow system shown in the figure is activated at time t== 0. Let Q.(t) denote the amount of solut...

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Q: Evaluate |⊂(R)| if R={n: n is a factor of 500}

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Q: sin 4x 1. f(x) : complete the table. Show your solution. 2 0.8 0.5 0.1 0.01 0.001 0.0001 f(x) sin 4x...

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Q: The equation -2y" + 7y = 3e* - 2 sin x is a second order linear ordinary differential equation. Sele...

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Q: Answering 3 out of 8 essay questions test. Combination O Not Combination

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Q: a. Write the equation for the revenue, R, the company will earn as a function of the length, x, of t...

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Q: In a chemical plant, it is required to construct a cylindrical container (without a cover at the top...

A: Note: Surface area of a cylinder without cover at the top is S= πdh + (π/4)d2 Where h is the height ...

Q: In how many ways Jane, Liza, Karen, Lea, Jamie, Andrea, Nicole, and Jazz can be seated in a round ta...

A: There are 8 persons  So total number of ways by which they can sit =8!  8!=8×7×6×5×4×3×2×1 =40320.

Q: Find the solution to the initial-value problem. y' = −6x tan(y), y(0) =  ? 2

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Q: If the line x = 1- y, with 0 < y<1 is revolved about the y-axis. Find the generated lateral surface ...

A: Given  the line x = 1-y with 0≤y≤1 is resolving about the y-axis we have to find the generated later...

Q: Evaluate: P(6,2)

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Q: A construction company buys lumber in 8- foot and 14-foot board lengths. Each 8-foot board is cut in...

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Q: The solution of the following separable differential equation y' = x²y-y with y(3) = -1 is y+1 y = C...

A:   Given differential equation is :   dydx = y(x2 - 1)y+1⇒y+1y dy = (x2 - 1) dxIntegrating both sides...

Q: 10: Consider the following function. f(x) = e8 2x (note that 2r is under the square root in the deno...

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If the inpu...

Q: 3. Consider the system of first order ODES (in matrix form)

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Q: Let x, y and n denote integers. Use induction to prove that Vn 2 5: 3x, y > 0 such that n= 2x + 3y 6...

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Q: the real root of the e section method is

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Q: 3. Consider the simultaneous equations h(r.y.)-(y--1) 0, fa(z, y.) (zy+-15y) 0, fs(r.y.) (2y² +-6) -...

A: Given: The system of equations, f1x,y,z=x2y-z3-1=0 f2x,y,z=xy2+xz2-15y=0 f3x,y,z=2y2+z2-6=0   To det...

Q: Q4: Find the solution for the following system of equation (a) x + 2y + z = 4, 3x – 4y - 2z =2, 5x +...

A: Note:- As per our guidelines, we'll answer the first part of this problem as both the problem are di...

Q: 3) Given that h(x) = /(4x +3) or h(x) = (4x +3)7 and i(x)= 3x+1. i). Evaluate h(- ii). Determine i(0...

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Q: Question # 5.6 which of the following is a solution to the equat:on z'=(-JE - ¿)? (A) 21 [cos(23z/18...

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Q: 4. Consider the linear transformation f : R3 –→ R³, ƒ(x) = Ax, given by the matrix [1 0 a 0 1 b 0 0 ...

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Q: The graph of the equation 2x2 - 5y?+12x+ 20y+F=0 is either a hyperbola, a point or two intersecting ...

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Q: The flow system shown in the figure is activated at time t== 0. Let Q.(t) denote the amount of solut...

A: As this problem is related to differential equation, hope you know how to find inverse of a matrix, ...

Q: a b c If det A =| d e f =k find the value of the given determinant. ghi a – 3g b-3h c-3i 39 -d 3h 3i...

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Q: 1. Liz buys three apples, a dozen bananas, and one cantaloupe for $2.36. Bob buys a dozen apples and...

A: Note:- 1 dozen =12 piece Let the price of apple, banana and cantaloupe =$x, $y, $z per piece   

Q: 3s+ 8 Solve the inver se Laplace Transforms of : s*+ 2s+5

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Q: Using the Frobenius norm for your calculations, what is the condition number of the matrix A? Round ...

A: Given matrix is A=2367928113 Since we know the Frobenius norm of matrix is AF=∑i=1n∑j=1maij2⇒AF=22+3...

Q: Reach: If you had to solve the linear equations below using the method of undetermined coefficients,...

A: We find Particular solution by Guess.

Q: Which of the following is the general solution to the differential equation cos(x) cos(y) dx – sin(x...

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Q: s than twice what his younger sister Maria weighs. If w represents Maria's weight, which expression ...

A: Introduction: An equation is a mathematical statement composed of two expressions joined by an equal...

Q: There are 10 doors to a coliseum. In how many ways can a person go in and out if one can enter any d...

A: There are 10 doors to a coliseum . A person can go in in 10 ways.

Q: R = {(1,1), (1,2), (1,3), (2,3), (7,1), (7,2), (7,3), (4,5), (4,6), (5,6), (5,5)}

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

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Q: Given: A = (2, 5, 8, 9, 12} B = {1, 2, 3, 4, 5} Determine: D = AUB J= Partition of D each with 2 ele...

A: Given: The sets A=2,5,8,9,12 and B=1,2,3,4,5   To determine: D=A∪B J: Partition of D, each with 2 el...

Q: Prove that the sum of two symmetric matrices of the same size is symmetric. Prove that the scalar mu...

A: Solutions 

Q: N value (x,y,z): 10,14,17 In case you can't read the given values on the picture: B: (6,7,8) C: (5,1...

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Q: Toll collector on highway receives $3 for cars & $4 for buses. At the end of a 1 hour period, she co...

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Q: The solution of the following homogenous differential equation y' = - x+y -is

A: We find the solution of the homogeneous differential equation y'=yx+y

Q: —В — с + 4D %3 1.8 4A - В — С %3D0.5 -A + 4B – D = 1.3 —А + 4C - D %3D1 Apply iterative methods line...

A: The complete solutions are given below

Q: H.W: Select the divergence of F(x, y) i+ (2x – 3y)j. %3D 1 (b) -* +2, y2 1 (c) (a) 3, (d) -2. - - -

A: Multiple:   Divergence of a vector field find by taking the scalar product of the vector operator  ∇...

Q: 46.6% 046.6 O0466

A: In this question, the concept of percentage is applied. Percentage A part or amount in every hundred...

Q: Let f(x) = 0.85x* +x* – 1.26x² – 2.6x – 1. Which of the following is the approximate root x, if x = ...

A: Newton-Raphson method uses the formula: xn+1=xn-f(xn)f'(xn) to perform the iterations and to approxi...

Q: Points A and B are on a circle with centre O and radius 6 cm, such that ZAOB = 60°. A B 60%

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Q: q22 When monitoring the spread of disease, the population can be divided into three groups; the port...

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Q: 22+88-22=

A: To solve 22+88-22

Q: If we use an adequate substitution, the following nonlinear differential equation (-3x +y+7)y' = 1 w...

A: we have  given the non linear differential equation (-3x+y+7)y' =1 we have to transform the above di...

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.