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Q: P with equation 2x – 3y = 0. Sketch the graph of P. 3. Determine the focus and directrix of the para...

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Q: Define dircect proof

A: Direct proof: a direct proof is a way of showing the truth or falsity of a given statement by a stra...

Q: (i) Show that the sequence {-1}= (ii) Is it bounded above and/or below? Give a reason for your answe...

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Q: region and a rectangular element of area. y = x2, y= 2 – x and x = = y3 49 sq. units 49 sq. units sq...

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Q: Writing logical notations to compound statements Let p: Man is rational. q: A century is 100 years. ...

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Q: Use Euler's Method to find a numerical solution of the differential equation dy y 3+ dx With initial...

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Q: Give all the elements of Ug and write them in rectangular form. Draw the regular octagon in the comp...

A: Note: Usually U8denotes {1,3,5,7} with multiplication operation but as per your notations it seems i...

Q: Find the equation for the tangent plane to the surface x2 - 5xyz + y² = 7z2 at the point (-1, -1, -1...

A: Simplify the given equation of the surface in the form F(x,y,z)=0. x2-5xyz+y2=7z2x2-5xyz+y2-7z2=0 ...

Q: Number5

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Q: Question 3. Suppose G is a group with order 99. Prove that G must have an element of order 3.

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Q: To every linear transformation T from R² to R², there is an associated 2 x 2 matrix. Match the follo...

A: Given that T : ℝ2 → ℝ2 is a linear transformation. For each cases we will find the associated matrix...

Q: B. Substitution as suggested by the equation 3. (x + 2y – 1)dx + 3(x+ 2y)dy = 0 when y(0) 4. sinxsin...

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Q: Q1: Solve the following linear programming problem graphically Max z = 4x, + 5x, Subject to 3x1 + x2...

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Q: In a particular region, there are initially 1000 of an endangered bird species, and Question 23 a po...

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Q: [o Let A be a 3 x 3 diagonalizable matrix, P = 1 -1 Lo [2 0 P-1 =| 3 0 -2|,D = |0 0 lo o 1 1 -3 0 3 ...

A: If P-1AP=D, then it can be written that PDP-1=A.  It can also be written that: PDnP-1=An. For a diag...

Q: Writing logical notations to compound statements p: Man is rational. Let q: A century is 100 years. ...

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Q: Find parametric equations for the line. (Use the parameter t.) The line through (-8, 4, 7) and paral...

A: we have given the line through (-8, 4, 7) and  parallel to the line 12x=13y=z+1 we have to find the ...

Q: a). Find the complete solution of the following: 9pqz = 4(1+z3). b). Solve the following PDE by usin...

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Q: j'+7y'+12y=2le", y(0); (0)=,"'(0)= -10. 10)=-10 .

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Q: 4. Use the Laplace transform to solve the " + 4a' + 4x = 4e", a(0) 0, r' (0) - 1.

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Q: Question 14 Solve the problem. Find the equation for the tangent plane to the surface z = 8x2 - Sy2 ...

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Q: for x 1 Discuss the contuniuty of f andf".

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Q: C. Compute the determinant by cofactor expansion. Pick the easiest row or column to use. 1 0 2 1 0 0...

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: 5. Let A = {n E Z; n is odd} and B = {n € Z; 3n² + 7 is even}. Prove that A = B.

A: Given that              A=n∈ℤ ; n is odd   and   B=n∈ℤ; 3n2+7 is even

Q: Use the inner product (u, v) = 2u;V1 + uzv2 in R2 and the Gram-Schmidt orthonormalization process to...

A: Using the inner product <u, v> = 2u1v1+u2v2 in R2 and the Gram-Schmidt orthonormalization proc...

Q: 4.) Flad te roots of the following poly namicls Winy ouy metod of iteration ィ)&3-2&+ノ-0 4 6.) a*+ x'...

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Q: [x1(t)] [¤2(t). Let x(t) = be an unknown vector-valued function. The system of linear differential e...

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Q: Consider the power series (2х + 3)" 2n2 +n – 1 n=1 Determine the interval and radius of convergence ...

A: The given problem is to find the radius of convergence and interval of convergence of the given powe...

Q: A group took a trip on a bus, at $2 per child and $4 per adult for a total of $110. They took the tr...

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Q: 2. Let the rref of a matrix A be, (1 0 2 0 -2 0 1 -5 0 -3 0 0 0 1 6 Determine A if the first, second...

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Q: 4.x2 with f'(x) = x(x+8)(x - 2) (x+ 2)3 8(7x – 4) (x +2)4 f(x) = and f"(x) = %3D (x + 2)2 a. Find th...

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Q: 4. Use the Laplace transform to solve the IVP a" + 4x' + 4x = 4e24, r(0) = 0, r' (0) = 1.

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Q: f(x, y, z) dz dy dx vrite this integral as an equivalent iterated integral in the five other orders....

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Q: –3t cost -. F(t) = te-3t

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Q: 10. F(t) = te-4cost %3D 11. F(t) = -6t'et %3D 12. F(t) = e' u(t – 4) %3D

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Q: Recall sA : R" → R is a support function given by SA(x) = sup p•x PEA %3D Let A, B be nonempty close...

A: The given function sA:ℝn→ℝ is a support function defined as: sAx=sup⏟p∈Ap.x (a). Let A,B be non empt...

Q: Astronomer Edwin Hubble postulated a relationship between the distance between Earth and the velocit...

A: Distance (Mpc) Velocity (km/s) 51.8 4,590 12.2 1,234 271 17,695 46.2 3,752 58.2 5,118 46...

Q: Question 1 Is it possible for one of (oA) A 0 and o A ( e) to be true and the other false? No, they ...

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Q: (2х + Зу — 5)dx + (3x — у — 2)dy — 0

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Q: Problem 2. Let z = a+ bi be a Gaussian prime and a, b > 0 positive integers. Show that its norm N(z)...

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Q: 7. F(t) = [sin (t -) - cos (t -)u (t -) | 8. F(t) = 8 sin cos t 9. F(t) = cos cos (; – bt) - bt), b ...

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Q: 2. Use the Newton-Raphson iteration method to estimate the root of the following function employing ...

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Q: What is the order of matrix A if [4. 4, 4, a, a, A-b,, , b [b, b, b a, a O 2 x 2 O 2 x 3 O 3 x 2 O 3...

A: To find the order of a matrix A .

Q: Question 2 A. Construct interpolating polynomials P1(x), P2(x), and P3(x) of degrees 1, 2, and 3 res...

A: Newton Forward difference formula can be used only for equi-spaced arguments.  For non-equispaced ar...

Q: The sports association in charge of a tennis event has to set ticket prices. Its fixed costs are $40...

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Q: A legislative committee consists of 8 Democrats and 10 Republicans. A delegation of 4 is to be selec...

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Q: Which properties hold on the rational numbers that did not hold on the set of whole numbers? O commu...

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Q: Show that the g(x,y) has minimum of 0 in the region 0 ≤ x ≤ 5 and 0 ≤ y ≤ 5, occurring at x =3 and y...

A: It is given that ;                   gx, y = x2+y-112 + x+y2-72   ..............(I) We have to show ...

Q: 8. - 2] -3 -2 3 2 -1 2 -4 Given A= and B = and C = 8 and D= 5 3 4 - 7 4 4 8

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