12. Given the differential equation x dx = 0 and one solution y₁ = A (constant), use reduction of order to find a second solution, y₂. If y(1) = 3 and y'(1) = 6, find the solution, y.

Q: Find the pointwise limit of the following 1 (1) fnoy I= [0₁1] z nxt I I = [0₁1] Ince) = = n² x…

A: Here we use sequence of limit

Q: e work of a particle moving counter-clockwise around the vertices (2,0), (-2,0) and -3) 3e* F…

A: Greens theorem is used

Q: *** ***** x dx +ln(x) Sex 2ra

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Q: Find a recurrence relation and initial conditions for the sequence 1, 4, 13, 40, 121, 364, ...

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Q: 4. Evaluate the double integral: Sa+1 ¹/3 27 +1 (Hint: Change the order of integration to dy dr.) dr…

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Q: Let M = {1, 2, 3, 4, 5, 6, 7, 8) and be cyclic permutations: f1 = (1, 2, 3, 4), f2 = (4, 5, 6), f3 =…

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Q: Use Cartesian coordinates to evaluate JIJ y² dV D where D is the tetrahedron in the first octant…

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Q: 6. Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

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Q: dz 9-1f r= √x² + y², u= y² - 4x ,z = sinxy then ****, using jacobian? 0.23 O -0.25 O Non of the…

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Q: [6] Find the Fourier integral representation of f(x) = { 02 0 1.

A: Fourier integral representation

Q: Use the secant method to estimate the root of the f(x) = 3x + sinx - ex llowing brahi function:

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Q: Solve the following integration corrected to 3 decimal places using: 1. Trapezoidal rule 4 intervals…

A: Solutions

Q: Q2: If P(A) = 0.25, P (B)=0.45, P (AB)=0.43, draw the Venn diagrams and determine the following…

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Q: (a) Let R be a ring and S a subset of R. What does it mean to say that S is a subring of R?

A: a. S is a subset of R. A non-empty subset S of R is a subring if a, b ∈ S ⇒ a - b, ab ∈ S. A subring…

Q: 5. Consider the permutations f on the set {1, 2, 3, 4). (a) (b) (c) ( and g= 1 2 3 4 3142 ƒoƒ-¹ = 4)…

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Q: 2x²y" − xy' + (x - 5)y = 0

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Q: The diagram below shows the graph of y = √√x and y = x. Consider the region bounded by the two…

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Q: In a room with 10 people, everyone shakes hands with everybody else exactly once. How many…

A: Solution, If in a room  ,10 people shake hands with each other…. 1st  person will shake hand with 9…

Q: Ev 2y² Use tri

A: We have to find the volume of the solid bounded by z=1-2y2-3x2 and the xy plane.   The volume of the…

Q: Given the polynomial :x6y³ – 2x²y² + 1 1. What is the degree of the first term? 2. What is the…

A: Degree of polynomial is the largest exponent of that polynomial.

Q: Convert integers 205 and 12 to binary representations and find their product using the binary…

A: We have to convert the number 205 and 12 to binary representation and find their product using the…

Q: ç hange the order of integration of the iterated double integral: So L dx dy. 1/3 +1 show the region…

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Q: [9] Find a 27-periodic solution u(x) of 5u"(x) + 3u(x) = f(x) where f(x) is a 27-periodic function…

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Q: Q1: (a) Let X be a space and A be a subset of X. show that 1- Int(A) is a largest open set contained…

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Q: COCTEL Q2: If P(A) = 0.25, P (B)=0.45, P (AB)=0.43, draw the Venn diagrams and determine the…

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Q: an has three mtains 6 flan ser contains

A: Given information: There are 3 boxes and 6 drawers in them. Each box contains two drawers where…

Q: Suppose that 100 lottery tickets are given out in sequence to the first 100 guests to arrive at a…

A: In this question we will use the Generalized Pigeonhole principle which states that: "If N objects…

Q: x1 + 5x₂ + 3x3 = 30 3x1 + 7x2 + 13x3 = = 80 12x1 + 3x25x3 2 (0) (0) with ¹ [x(0), xQ), xº)] = [1, 2,…

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Q: Use the following information to answer the next que An internet job recruitment company, Company1,…

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Q: f(t)={sint, 2nn half-wave rectifier Function Using £(1) =======[₁²₁ {f} 1-2-ps² fe¯st f(t) dt (s> 0)…

A: As per the question we are given a periodic function f(t) (which is similar to a half-wave rectified…

Q: 7. Assume that there are only two age groups ("young" and "old"). Among Argentine immigrants in the…

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Q: Prove that every finite Abelian group can be expressed as the (external) direct product of cyclic…

A: Fundamental Theorem of Finite Abelian Groups: Every finite Abelian group is a direct product of…

Q: 4. Given the functions X, (x)-(+) and (x)-(+) = = rapidly than f₂ f increases fill in the blank…

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Q: Question 2 Demonstrate the solution of the following system using Gauss elimination with partial…

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Q: Write and evaluate the definite integral that represents the area of the surface generated by…

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Q: Matching Type. Match the functions in Column A with their corresponding antiderivatives in Column B.…

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Q: Using Parseval's theorem, establish 1 1 1 TL² 12+ 32 +52 + = ² 8' where Euler-Fourier coefficient of…

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Q: 6-Assuming that the following fixed-point iteration converges 3 www. + 1/ (+ + ²/2 ) Xk+1 a-√3 c- √5…

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Q: Given the polynomial :x6y³ - 2x²y² + 1 1. What is the degree of the first term? 2. What is the…

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Q: 1. equations i (a) 22 (b)

A: To conversion is given as, x=ρsin ϕcos θ, y=ρsin ϕsin θ, and z=ρcos ϕ. where, ρ2=x2+y2+z2 To convert…

Q: 2. Analyse the following equations graphically: x = ex COS X (i) x = 1 - cos 2x (ii) Find all the…

A: 2. Given equations are: (i) x.=ex-cosx (ii) x.=1-cos2x   To Find: All equilibrium points, and…

Q: Derive a three-point formula of order O(h²) to approximate f'(ro) that uses f(xo-h), f(ro), f(xo +…

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Q: Given the polynomial :x6y³ - 2x²y² + 1 1. What is the degree of the first term? 2. What is the…

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Q: Evaluate the double integral that will find the volume of a solid bounded by 2. z = 1-2y²-3x² and…

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Q: 2. A man put a pair of rabbits in a cage. During the first month the rabbits produced no offspring…

A: To find how many pairs of rabbits will there be at the end of the 5th month :-

Q: H.W: Find of and of for the functions: əx 3. f(x, y) = (x² − 1)(y + 2)

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Q: b) f(x) = sin(3x) sin(7x) d) f(x) 4 gin²(2) gin(2) 10

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Q: Exercise (1-3): By Charpit method solve the following PDE Question Answer 2 z=ax- (9) 2z+p²+qy+2y² =…

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Q: 5-Given n+1 data pairs, a unique polynomial of degree.........passes through n +1 data point. a-n +1…

A: This question is based on the topic interpolation in Numerical Analysis.

Q: - A quadratic equation x¹-x-8=0 is defined with an initial guess of 1 and 2. F approximated value of…

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