1. Simplify: a. 2i68 – 3i-89 + 4i114 i-125 + 2i213 + 3i-314 b. 5i97 - 4195

Q: Assume that if n is odd, An = if n is even. Which of the following are true? (2 marks) a) The interv...

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Q: r - y + z = -4 2x - 3y + 4z = -15 5x + y -2z = %3D 60. 12

A: Introduction: The row operation plays an important role in solving a system of linear equations. The...

Q: xye-(2²+v°+z*). Find all points (x, y, z) such that Vf(x,y, z) : Question 2. Consider the function f...

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Q: Example 12 6-13 Simplify 4+17 Solution

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Q: i f(t) is given E ue of f(0.5) is

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Q: 11n + 5 4n + 14 converges or diverges. If it converges, find the limit. Determine whether the sequen...

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Q: Does the following integral converge or diverge? Show all steps 1 (x – 1)4/3 dx

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Q: Maximize. z = 2x1 + 3x2 – 4x3 subject to 3x, - 2x2 + x3 0, x2 > 0, x3 > 0.

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Q: Question 2 (Round to 2 decimals when needed) Solve for the optimal x*, y*, and 1* of the following p...

A: For the solution of ghe problem follow the next steps.

Q: 2. Given the graph, determine the end behaviours as indicated [3C] X-3 x -3+ y→ x 4 x4+ :2 X → -00

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Q: Consider the function f : {1,2, 3, 4, 5} → {1,2,3, 4, 5} given by 2 3 4 5 f = 1 3 2 5 3 a. Find f(2)...

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Q: (Round to 2 decimals when needed) Solve for the optimal x*, y*, and 1* of the following problem: max...

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Q: Find the eutre me points of the Following Function.

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Q: (b) The rank of the matrix A is 2. 2 4 2) A = (1 k 3 1 2 2/ (i) (ii) Determine the value of the cons...

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Q: 1. Let X = {z €R:r#0,1} and define f : X X by f(r) = 1-. Prove or disprove that f is a permutation o...

A: As per our guidelines we are supposed to answer only first one. kindly reposed other part in the nex...

Q: 4. In the figure below, what is the magnitude and direction of 7xF? 30° 1키3 0.6 |키= 200

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Q: 2. In 1998, the average annual cost of a public college was $8,850 and costs were climbing by 8% per...

A: 2. The general form of the formula is final value = initial value×1+r%t The formula we have to use h...

Q: Evaluate the area under the parametric curve given by x = 2, y = 4t – 2 and above the x-axis on the ...

A: Area of the parametric curves along x+axis  

Q: R.3. Suppose A C P(A). Prove that P(A) C P(P(A)).

A: Introduction: The power set of a set is very significant in the set theory. Every set has two trivia...

Q: For a group G and a fixed element a ∈ G, define the subset C(a) to be the set of all elements in G t...

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Q: Find the surface area generated by revolving about the y-axis that part of the curve y = In a lying ...

A: The surface area of the curve y=fx, a≤x≤b, rotated about the y-axis is calculated by the following f...

Q: 7. Re-write. the.ether..five..texated.ntegal s. ... dzdyd X -I x2 d Top: y +z= 1 Side. y =x2 ..... (...

A: xy-projection

Q: h(x) = cF' (x) – cGʻ(x). 3. By integrating the last equation for h(x), show that for any constant a ...

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Q: a) Find all m 1 such that 27 = 9 (mod m). [1 0 1] b) If A = |0 1 11 1| is a zero-one matrix, find A ...

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Q: tions y(0) = x(0) = 0: %3D dx 2 -y+x+ = 5 sin t; dt +x-y+ 25 dt dy dx = et 3 dt dt 12

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Q: 11. a. For the function f(x) = (3x+2), let x, =-1, x, =0, x, =1. Construct interpolating polynomial ...

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Q: 2. Suppose x e Z. Then x is odd if and only if 3x +6 is odd.

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Q: True or False 1. Cramer’s rule is not applicable if the system is homogeneous. 2. Integer Powers of...

A: Solution

Q: 1. A = sin(tan[1 + i])

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Q: -4-7+7Xe Please fill in a question quickly within a quarter of an hour

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Q: Question 6 The following function is homogenous of degree what? Vx++x²+y? x+y other/not possible 2 4...

A: For the detailed solution of the problem follow the next step.

Q: (3) Let S = {; Find with prove :m eN,n E N}. %3D suprenum of S. (4) What is an unbounded set?

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Q: 10. Determine three linearly independent solutions to the equation y" + 2y" – 3y = 0 of the form y(x...

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Q: Solve the approximate root of f(x) = x^5 - 3 using Newton's Method with initial value of x=10.

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

Q: f15. Find the degree of precision of the quadrature formula f(x) dx = f + f 3. 3 16

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Q: (4) Decide if the following statements are true or false. If true, explain why. If false, give a cou...

A: (A) FALSE Consider the following series, ∑n=0∞anx-πn   such that  an = 1·3·5 . . . (2n-1)2·5·8 . . ....

Q: (4) a) Solve the initial value problem x'(t) = Ax(t), (i) 4 -5 8. A x(0) -2 1 1 Draw the phase portr...

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Q: Find an equation for the graph sketched below -구 -5 -4 -3 -2 -1 -2 -6 f(x) =| Preview %3D

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Q: 3. Find the solution of the following differential equation by Laplace transform with initial condit...

A: Here given as ∫0tytdt=dytdt ......1,  Since F0=1 is the initial condition then it should be y0=1.  

Q: A company produces very unusual CD's for which the variable cost is $ 11 per CD and the fixed costs ...

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Q: a differential equation that models the given situation. The stated rate of change is with respect t...

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Q: Find. the Valume.f the Salid. baunded.by.the.cylin der. X=y. and. th.planes.Zz. and.X+Z=.. Ans.V= 8|...

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Q: Solve the initial value problem x'(t) = Ax(t), %3D -(). 4 8. x(0) = ( ) A = %3D 1 Draw the phase por...

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Q: Question 5 The following function is homogenous of degree what? Vx?y²+x²+y² f(x,y) = х, у ху 1 3 4 o...

A: We have to find the degree of function.

Q: Approximate the sum of the series correct to within 0.00001. Σ (-1)" (3n)! n = 1 8.

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Q: If sec@-20find coto %3D 4

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Q: 6. A company wants to buy 100 compressors with a capacity of 500 Hp. The compressors cost index was ...

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Q: Use Taylor's Inequality to determine the minimum number of nonzero terms of the Maclaurin series for...

A: To find- Use Taylor's Inequality to determine the minimum number of nonzero terms of the Maclaurin s...

Q: Given: A e M2x2(R). a. Given T: M2x2 (R) → M2x2 (R) as T(M) = AM, prove that rank (T) = 2rank(A). b....

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Q: Q3/ Check the convergence of the following series 2 3(n + 1)(n + 2) n=0 Ans./ Use method of differen...

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