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Q: To submit Let R[] be the set of all expressions a = ao+ajx+a2x²+ · where aj e R for all nonnegative ...

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Q: 2. In each of the following cases: parametrize the curves; and determine whether the curves are orth...

A: (a) The two curves are given as : curve I : y = x2     .................(I) curve II :  x = y2    .....

Q: 1-z Let C: z-i=9. Then ſ, dz = z(z+1) а) 0 b) 2ni с) —2пі d) 4ni e) —4пі f) 2п

A: We have to evaluate the ∫C1−zzz+1dz, where C:z−i=9. First of all we will find the poles of fz inside...

Q: y' - 3xy =0

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Q: u(x, y) be a harmonic function in a domain S. Show that 18.5. Let u = all partial derivatives ur, y,...

A: If u is harmonic then it satisfies laplace equation. 

Q: Consider the following inputs coefficient matrix: 0.25 0.4 0.2 A = 0.25 0.1 0.1 0.25 0.1 0.3 Find th...

A: Remark: The minor of an element in a matrix is the value of the determinant of the matrix that resul...

Q: 1 5. If the Laplace transform of f(t) = e %3D find F(4s)

A: Given that the Laplace transformation of f(t) = e^(1/s)/s. We have to find F(4s).

Q: V Solve using method of undetermined coeficents (D³+GD°+ 12D + 8)y =o when x=0, y=1, y'=-2, y"

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Q: I. TRUE OR FALSE. Write 1 if the statement is always true. Otherwise write 0. 7. For any sets A, B, ...

A: Given that  for any sets A,B,D, if B⊆A then D-A⊆D-B We have to check that the above statement is tru...

Q: It is given that the Roll's theorem holds for the function f(z) = + ar + bar, 15 52 at a point c . T...

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Q: Evaluate S" -2n 1 cos³ w sinsw dw 2 O - 1/2 O 1/2 O 1

A: Please find attachment for the details solution

Q: If f (x, y) = V3 + y³ In (z +y°)e*in(zyty") +2² + 10y , then fz (1,0) = |3D %3D O 2 4. O 3

A: Given that fx,y=x3+y33lnx2+y2esinxy+y2+x2+10y3 First we have to find fxx,y where fx=∂f∂x

Q: The equation x5 + x4 − 5 = 0 has one real solution. Approximate it by Newton’s Method.

A: This is a problem of Newton Raphson method.

Q: Solve the initial value problem y" + 5y/ – 14y = 0, y(0) = a, y'(0) = –28. Find a so that the soluti...

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Q: It's vacation time of the year and your family agreed to go to a famous beach resort in your provinc...

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Q: A railroad track rises 45 feet vertiçally aver a distance of 600 feet of slanted track. What is the ...

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If yo...

Q: lim yz? (2, y)(0,0) along y = 2x? %3D O does not exist 1/2 215

A: We have to find  limx,y→0,0yx2x4+y2 along y=2x2

Q: List the eigenvalues of A. The transformation x-Ax is the composition of a rotation and a scaling. G...

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Q: Bethany has a circular table top that she needs to carry inside her house to paint. Her front door i...

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Q: ſcos15x cos4x dx * 1/2 (1/11 sin11x +1/19 sin19x )+ C O 1/2 (1/11 sin11x) + 1/19 sin19x + C None of ...

A: Solution 

Q: Use the plurality with elimination method to determine which name a new store will be given. ​   Ra...

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Q: The simple solid Q, drawn in the first octant and generated by the surfaces I = (y – 3)2 +1 42 + 3r ...

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Q: The curve C is the circle of radius 5 contained in the plane z 5 and centered around the z-axis, ori...

A: Solution:-

Q: II Solve the differential equations x (x- y²- x) dx =y(x²-y 2) dy when x=2, 1. y=0

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Q: Laplace transform

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Q: 1.44 -0.36 5.52 0.00 0.04 -0.36 10.33 -7.78 0.00 -2.15 A : b = 5.52 -7.78 28.40 9.00 0.00 0.00 9.00 ...

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Q: +oo Σ 8n2 16n + 6

A:

Q: - Problem 1 Prove that induction proofs actually works. Mathematically, |(P(0) ^ (P(k) = P(k+ 1))) »...

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Q: The curve C is the circle of radius 5 contained in the plane z 5 and centered around the z-axis, ori...

A: Solution:-

Q: Using or is conicrgent or thorem test. Justfy whether a duvergent given oeries t. s Un where sn= U,t...

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Q: ind the inverse of the matrix, ... -7 -6 4. Choices: -3/2 1/2 –7/2 3/2 1/21 4 1 3 1 c. 10 [7/2 3/2 1...

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Q: 21 Date... w******** Q. Find the Fourier Series od (x) = X -즐 <x<플

A:

Q: Let A, m be an Artinian local ring (see 1.13 and 3.2). Prove that the maximal ideal m is nilpotent. ...

A: Question Deatils   Let A, m be an Artinian local ring . Prove that the maximal ideal m is nilpotent....

Q: A population P obeys the logistic model. It satisfies the equation dP 0.24P 1 for P> 0. dt 4900

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Q: 13. Encrypt the plaintext message GOLD MEDAL using the RSA algorithm with key (2561,3).

A: Solution:

Q: Ísin^5 (2x) cos (2x) dx, for the indicated integral, what would the first step be? * Use u = sin 2x ...

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Q: Solve & Discuss It! Gabrielle wants to cover the floors of a room and a hallway in her dollhouse. Sh...

A: Given:

Q: The sequence n0.1 converges if

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Q: Find the Laplace transform of the following using Direct Integration. 1. L = {t³}. 2. L = {t²e*}. 3....

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Q: Find the volume of the pyramid with base in the plane z = -1 and sides formed by the three planes y ...

A: Please see the attachment

Q: 10 The straight line / has equation r= 2i-j-4k +A (i+2j + 2k). The plane p has equation 3x- y+ 2z = ...

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Q: 6. Write the rule to describe the rotation. I' A I A'

A: Any point in the cartesian coordinate system is represented by the ordered pair: x, y. Start from th...

Q: Q6/ Find the moment of inertia and radius of gyration about the x-axis of a thin plate bounded by th...

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Q: 2. Determine the true error and relative true error when approximating the derivative of f (x) = -x²...

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Q: Problem Solving 1. Find the values of x and y using Determinant Method and Gaussian Elimination 4х —...

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Q: Using theorem or tedt. Justify whether is on ergent given ecries a divergent or too -3

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Q: 1. Apply the Trapezoid method to the ODE x' = -x + t/x for two steps with x(0) = 1 and h = 1/4. Show...

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Q: If z = x2 + y?, x = e' cos(s) and y = e' sin(s), then %3D dz at (t, s) = (1,0) is as %3D

A: Given that z=x2+y2, x=etcoss and y=etsins First we have to find ∂z∂s.

Q: Find the solution of the system of linear equation and the value of the determinant of its coefficie...

A: The system of linear equations are:w+2x-y+z=6-w+x+2y-z=32w-x+2y+2z=14w+x-y+2z=8We have to find the d...

Q: 3. b c def f gh a bcd efgh 8 8. 7 7 7 6. 4 4 4 3 21金 2 1 曾 a b c def g. h 1 a b c 1 49 Convrigu 土 三 ...

A: how white can escape from the check :-

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.