Prove that the space of all real numbers is complete

Q: Solve [3] - [ -50 = -13] [0] x(0) 30 - x (t) = y(t) = Question Help: Message instructor Submit…

A: Solving by matrix method

Q: Find the volume bounded by: x² + y² + z = 16 and z-x² - y² = 8

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Q: Q4: Show that: 1-If f is analytic and have zero of order n at zo, then f'(z)/f(z) has a simple pole…

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Q: At a grocery store in New Zealand, kiwifruit costs 1.95 New Zealand dollars (NZD) per kg. The…

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Q: At a grocery store in New Zealand, kiwifruit costs 1.95 New Zealand dollars (NZD) per kg. The…

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Q: E-(41-x2)

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Q: (c) (i) Express [(XnY)ªu (X – Y)] in its simplest form. (ii) Solve the equation x² + x³ - 21x²-x+ 20…

A: To express X∩Yc∪X-Yc in its simple form.

Q: b) Obtain a Taylors series of degree three for the function f(x) = log (1+2x) near x, = 1 hence…

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Q: (b) Find the Fourier sine series of and prove the series 1 f(x) = x², 0<x< 1 1 1 4 9 12

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Q: Assume that (M, d) is a compact metric space. Show that if f: (M,d) → (Y, d) is continuous and…

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Q: 1 NZD = 0.73 USD me kiwifruit in US c to the nearest pen

A: Given as, 1 kg = 2.20462 lb 1 NZD = 0.73 USD

Q: a) Find a Lagrange interpolating polynomial in the form of P, (x) = ax³ + bx² + cx+d befitting the…

A: using Langrange's interpolation formula , solution of the given problem is below...

Q: Q4: Show that: 1-If f is analytic and have zero of order n at zo, then f'(z)/f(z) has a simple pole…

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Q: Q1: Locate the zeroes of the following functions and determine their order. 1) z4 + 10z² +9; 2) z³…

A: Find the zeros of the function and determine the order. 1) The given function is: z4+10z2+9 Factor…

Q: 2. Consider the nonhomogeneous equation = a(t)y+b(t) and its associated homogeneous equation a(t)y.…

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Q: xe* (a) Use centered difference approximations to estimate the first and second derivatives of y √x²…

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Q: 2. Evaluate the double integrals by iteration. whre B is the region 0 ≤ ≤ 1, ² Sysz JA dA

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Q: dy 5. Using Euler's method, find y(0.02), y(0.04) and y(0.06) given- dx correct to 4 dp. y-x x+y…

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Q: Q2) Choose the correct answer 1) The PERT method to solve? a) Game theory b) transportation model 2)…

A: 1) network analysis 2) maxmin=minmax 3) Lf 4) Vogels approximation method 5) tp

Q: For the vector field F(x,y,z)=ya'1+x1+2xyz k a) show that F is conservative vector field; b) find a…

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Q: IN 2 Find the volume of the parallelepiped whose edges are represented by |A=1-13j+4k, B = 31+2j-7k…

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Q: B. Find the general solution of each Linear Diophantine Equation. 3.28x + 91y = 119 1. 12x+16y=20…

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Q: Direction: Choose the letter of your best answer and write it on the blank provided before each…

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Q: If I told you that the measure of a radian differs depending on the length of the radius of the…

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Q: Online Course Selection Roughly 1 in 6 students enrolled in higher education took at least one…

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Q: At a grocery store in New Zealand, kiwifruit costs 1.95 New Zealand dollars (NZD) per kg. The…

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Q: Q3: Find two different Laurent series representation for f(z) = 3/(2+ z-z²) involving powers of z.

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Q: xy" + 2y + xy = 0 find two linear independent solutions by using Maclaurin series

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Q: unded by x + 2y + 4z = 8 in the fir I

A: The graph for the given integral as,

Q: 2. Consider the function F, that assigns x in its domain to x² - 1 F(x)= |x-1| In its domain. a.…

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Q: CLO 1: Apply different methods to solve the linear systems of the form Ax = b Question No. 1:…

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Q: * Problem 4: Let f(t, x) define by 1=0 21 0<t≤1. z<0 0<t≤ 1,0 ≤SP 0<t≤ 1, P²<z is continuous over…

A: Given: The function ft,x defined by:…

Q: whre B is the region 0 ≤ x ≤ 1, ² ≤ y ≤ = e'dA

A: Solution :-

Q: 6. Find the equation of the line through (-1,3) and is perpendicular to the line 5x - 2y + 3 = 0.

A: Given equation of line  5x-2y+3=0 .....(1) By writing line equation (1) in form of y=mx+c ..(2) We…

Q: When the top (T) of a mountain is viewed from point A, 2000m from ground, the angle of depression…

A: If points A and B are on the same vertical line, then we have to find the height h of the mountain.

Q: 2 Find the volume of the parallelepiped whose edges are represented by |Ả=î - 13ĵ+ 4k, B = 3î +2j-7k…

A: Let us consider the parallelepiped formed by the vector a→,b→,c→ The Volume of parallelepiped is…

Q: ax x²+bx-c 4. Use the graph below to determine the equation of the rational function in the form y =…

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Q: y +3y² -2 = 2². Sint

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Q: Use variation of parameters to find a general solution to the differential equation given that the…

A: We have to find the general solution of the given linear non-homogeneous differential equation. We…

Q: 1: Let p: “Chad is a good teacher.”, q: “Karen is a good teacher.”, r: “Chad's students hate math.”,…

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: : R^3-->R^3,T(x, y, z) = ( x + y, y + z, x - z)  (a)the basis of  the range(T) (b)determine if T…

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Q: The domain of the relation A is the set of all real numbers. zAy if (r-y| ≤2

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Q: e Find the volume of the parallelepiped whose edges are represented by A=i-13j+4k, B = 31+2j-7k and…

A: Solution :

Q: Determine a solution u(x, y) of the Laplace equation subject to the following boundary conditions u…

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Q: eview technique. called balanced transportation model.

A: To explain the given statement as,

Q: 5. Use the inverse of the matrix [32¹] to solve the system 3x1 x2 = 9 3x1₁+ 2x2=1

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Q: 5. Find the slope for f(x,y) = xey at P (2,0) in the direction of the line from M(2,0) to N(-1,2)

A: A scalar function f(x,y) is a rule that is used to associate a number or quantity with a particular…

Q: 5. y" y secx tanx + =

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Q: Compute the value of the following integral: 00 (t−7) cos (¹) 8 (t-1)dt 00 where 8(t) is the unit…

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Q: Use induction to prove that 80 04 n Σi(i+1) for all integers n ≥ 1. = n n+1

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