A topological space is dis connected if and only if it contain non empty set which is both open and closed.Give any example

Q: Q23/1 useing Lagrange Method determain Mexiuman area leacted in Side tringle of base ! equel -10 CM…

A: We will use Lagranges multiplier method to find optimal solution  To maximize/ minimize f(x,y,z)…

Q: I. Evaluate the following integrals. +- √(x-2)(x+² - 2x + 2) 1. dx 2-2x 3 dx √(x + ²²2²x + 2 + x ²³₂…

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Q: Which transformation would take Figure A to Figure B? 10 -X -10 -9 -8 8 9 -7 -6 5 4 3 2 B bd T- 6 8…

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Q: Two large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowing…

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Q: 3. Classify the given partial differential equation as hyperbolic, parabolic, or elliptic. ә2u ә2u…

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Q: b) ди(x,y) дх ди(х,у) ду = u(x,y)

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Q: Simpson's Three-Eighths (Use n = 12) 9. So dx (37 1 3x²+3, 0

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Q: Consider the sequence 10, 16, 22, 28, 34, ... with a₁ = 10. a. Which of the following is a recursive…

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Q: Use Laplace transform to solve the partial differential equation: d²u du ди(x,0) , t> 0, 0<x<1,…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: Use (a) Fixed Point Iteration method (b) Newton-Rhapson method and (c) Secant Method to find the…

A: Solution:f(x)=x3-2x2-5a) Roots using fixed-point iteration method in the interval 1,4The initial…

Q: Let h be the vector field h(x, y, z) = (2xy + ²)i + (x² −2yz)j + (2xz - y²) k. (a) Show that h is a…

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Q: Find the root of equation by using muller method

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Q: Evaluate the following integrals, ₁-1²₂2²² I 12- de 6 (2² dr (r²-5r+6) 8(x-3), dr 6 (x²-3x+2) ²

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Q: a) Find the 3 x 3 matrix Y that describes a rotation by 30° about the y-axis in 3-dimensional space.…

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Q: Find a particular solution of ds dt 1 I cost determined by s=3 when t = 1 3

A: We will find particular solution

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A: Given sequence is  0,7,20,39,64,95,...

Q: (Show your solution using Excel) Find the positive root of the equation 3x+sinx-ex using Regula…

A: The equation in form f(x)=0 is called a transcendental equation. If the function is continuous on…

Q: b) Evaluate: 0x x2e-x dx Boxxe

A: Solution:-

Q: Use the separation of variables to find, given partial differential equation

A: Given the partial differential equation is                              k∂2u∂x2-u=∂u∂t,    k&gt;0…

Q: Solve the area bounded by the curve x=y^2 and the line y=x+1, y=2, and y=-2. Graph manually.

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Q: To integrate x3 exdx, we apply integration by parts and in the form u dv, u is set as: Ox

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Q: (i) Show that the sequence {2-1}=11 nis monotonic. (ii) Is it bounded above and/or below? Give a…

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Q: e²-s L-1 - 3) O [(-1/3)+e^(3(t-1))/3] e^2 U(t-1) O [(-1/3)+e^(5(t-1))/3] e^2 U(t-1)…

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Q: describe the function's level curves, (d) find the boundary of the function's domain, Q2: (a) Sketch…

A: As you asked multiple question with multipart , we will solve one of them as per the policy…

Q: 4 In evaluating Add your answer 2 dx , is same as evaluating lim cos-¹(f(x)). Determine the value of…

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Q: Hand written plzz Chris bought a house for 325,000 in May of last year. At the time of purchase he…

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Q: Calulate 2.8m the 77.4.m or ela.

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Q: (part 3) If the "average" number of persons in each car on the road is 1.38 persons, which average…

A: If the "average" number of persons in each car on the road is 1.38 persons

Q: The auxiliary equation of the differential equation -5y""+y' + 2y = 0 is -5m³ + m² +2m = 0. O False…

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Q: Plot the following curves in polar coordinates. 50 1. r = 2 + cos (52) 50 2. r = sin 0 + sin³ (5) 2…

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Q: please explain step 2. Why is the current not just 12/ 9-j7  ? Thank you for your help

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Q: 18.5 Given these data 1.6 X 2 2.5 3.2 4 4.5 f(x) 2 8 14 15 8 2 (a) Calculate f(2.8) using Newton's…

A: Note: We are entitled to solve only one question at a time. As the specified one is not mentioned,…

Q: (a) On what interval(s) is fincreasing? (Enter your answer using interval notation.) (1,6), (8,00) X…

A: The graph of the function f' on the interval 0, 9 is given. A differentiable function f is…

Q: Find the complete solution of e sinx- Note: fe" du = e" + C dy cos²x = 0. dbx 8

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Q: No. of isomorphic subgroup of group of integers under addition is: -

A: As we know group of integers under addition is (Z, +)

Q: 9-4 √&(x-5) y-4 = √√√ & (+²+5-5) y=4 = √√ = +² 4-4 = + t t y = 7/1/20 +4 · +² +5 x =

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Q: The line through the origin parallel to the vector 2j+ k then the parametric equations equals: a) x…

A: Line through origin and parallel to the vector 2j +k is

Q: Simpson's One-Thirds (Use n = 10) 7. (5x82x¹+x+3) dx 4 8. ¹ (sinx) dx 3 tan

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Q: solve using newton raphson f(x)=cos3x

A: As per the question we are given a function : f(x) = cos(3x) And we have to find the root of the…

Q: 3. f(x) = ln(3x - 4) - cos x; f'(5)

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Q: What is the inverse of (2, 3) in Z3 X Z5*? A. (1, 2) B. (2, 3) C. (3, 2) D. (2, 1) What is the order…

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: L {e ³tt sin (t)}

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Q: Choose the letter of the correct answer. Write the chosen letter on a separate sheet of paper. 1. In…

A: As per company guidelines i am solving first three question please resubmit the question for rest of…

Q: - Let 4 1 2 A = 0-3 3 0 0 2, Describe the set of all solutions to the homogeneous system Ax = 0.…

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