sing Green's theorem if C₁is y = x² + 2, with the es the y-axis to intersect C₁. C. 41.3013 sq. ur

Q: solve by using substitution or elimination  by addition.   3x-2y=5  -6x+4y=-10

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Q: dentify whether the following graph is Eulerian or Hamiltonian. And Why N A

A: As per our guidelines we are supposed to answer only first three parts.

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Q: 3. Given the function f(x, y, z) = x²y³ - y²z³, evaluate fxx, fyz, and fzx.

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Q: a) Formulate a linear programming model to maximize the profit.

A: Double check labour hour per acre. It looks not comparable with other details the question.

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A: Given,y=f(x)=x+cos2(x)3from -0.4 to 2 , with 8 segment

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

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Q: ? Question Use Mathematica to find the absolute extrema of f(x, y) = z²y³ – z on the domain D = [0,…

A: given, f(x,y)= x2y3 -x on the domain D=[0,1]×[0,2]

Q: Compute the area of the polygon with vertices at (6,1), (3,-10), (-3,-5) and (-2,0)

A: Let us consider a polygon of n vertices x1,y1,(x2,y2),..........,(xn,yn) The area of the polygon is…

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Q: Prove that the given function u / v are harmonic; then find the conjugate harmonic function v / u.…

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Q: Solve for x € Z9: 215x = 4524 (mod 9)

A: We know that linear congruence is of the form ,  ax ≡ b mod m  ,  where a , b , m are integers and m…

Q: The absolute minimum of ƒ (x, y) = x² + y² – 4y on the semicircle region D = {(x, y) | y≥ 0, x² + y²…

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Q: Identify whether the following graph is Eulerian or Hamiltonian. And Why ?

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

Q: Question 2. Evaluate the following integral [S* [.. integration (shade the region). Show all your…

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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: Let 2= {p₁₁₁r, s, t, u,v} and d = {{p.a.v}, {st.v}-{4.0}} q, U, V 1 1 field containing d. construct…

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Q: what is the interior of the annulu's {ZEC : 1 ≤ | 2 | ≤ 2} ? c. {26 /2/ <2} {z & C C. : d. {2EC:…

A: We have to solve given problems:

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A: We will draw region R , and the rotate it about line y=-1 to generate the solid .  To find volume of…

Q: Use induction to prove that 0:0 0:0 DAD DAD DAD DA n 1 n i(i+1) n+1 for all integers n > 1. ||

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Q: se induction to prove that or all integers n ≥ 1. i=1 1 i(i+1) n n+1

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Q: Find the volume of the parallelepiped whose edges are represented by A = 117-184+4K, B²=35+25-7k and…

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Q: Find the volume of the parallelepiped whose edges are represented by A=i-13j+ 4k, B = 3i+2j-7k and C…

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Q: A matrix A € M4 (R) has rank 2. Which of the following cannot be the characteristic polynomial of A?…

A: This question is related to characteristic polynomial and eigen values of matrix.

Q: {zec: 12-1+i/ 2} b. ext D = {zec: /2-1+z2} c. ext D = {ZEC: /2-1 + i] =2} d. ext D = {26@= /2-1+i)…

A: For any complex number: z=x+iy, it can be written that: z=x2+y2.

Q: Let R be the differential operator defined by: d " R(y) = y(3) + 4y(2) + 5y' + 2y where dt Solve: A.…

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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: 22. For the set of data consisting of 5, 8, 9, 12, 6, which statement is true? a. mean = mode b.…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Which of the following functions is entire? For each, justify. 1 ƒ(z) = 1+|z|²

A: This question from topic entire function of complex analysis.

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

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Q: * Find the equation of the tangent plane to the surface 9a2²-12xy = 5x2+5 at the ivon Ni Smob point…

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

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Q: 2. Evaluate the double integrals by iteration. whre B is the region 0≤x≤ 1, ² ≤ y ≤I dA

A: We have to find double integration by iteration for given integral..

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Q: The answer is Blank 1. Blank 1 Add your answer Let R be the region enclosed by the curves y = x³ and…

A: The area(A) enclosed by the curves: y1=fx1, y2=fx2 in the interval: a, b is calculated using the…

Q: Prove that the following functions u/ v are harmonic; then find the conjugate harmonic function v/…

A: The given problem is to prove the given function is harmonic function and also to find the harmonic…