Discuss theConvergence o the following

Q: ) If we substitute the polar coordinate x = r.cos0 & y = r.sin0 continuous function w-f(x,y) that…

A: Here we use basic chain rule to Show this

Q: How.y If the directionelderivative Valne ( Duf)of the function f(Xs4) = x-3xy +uy at Paint (-2,0) în…

A: The given function is f(x,y)=x2-3xy+4y3, a directional derivative at (-2,0) in the direction of u=A…

Q: for which all the Ei en below are real is 4 1

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Q: Inter secting the sphere x*az²4 with the peleme z-L results in two surfaces. Make a roughelon. Let s…

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Q: Sketch the following: x² y x – 1

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Q: бп? + Зп = 3 2n2 – 5 Prove lim 6.

A: Limit of the fractional  value

Q: Use cylindrical coordinates. Find the mass and center of mass of the S solid bounded by the…

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Q: II) By using the limit definition of derivative, prove the identity rf(x)8' da f'(x)8 %3D

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Q: 2. Consider the following system of two linear equations: 0.0003x1 + 1.566x2= 1.569 0.3454x -2.436x2…

A: Solution of the system of linear equations using Gauss elimination method

Q: Let R be a relation on the set of all non-negative integers defined by aRb if and only if a3 - b3 is…

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Q: H.W:find eigen value of matrix A A = 3 -2 2 -4 2.

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Q: Suppose the function g is on the interval [a, b], and |g(x)|< B for all x E R. I) Prove that |g(x)?…

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

Q: 4. Find the solution of the following set of simultaneous equations by LT with conditions y(0) =…

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Q: Colleu late the curved integrad: ( (yds +3ady), when the curve Cis: a) The streight section starting…

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Q: Q1/ Using newton's backward difference fomula find the approximate value of y(-1/3) when y(-0.75) =…

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Q: Q1- Determine the coordinates of the centroid of the area.: (1, 1) y= x,

A: The given problem is to find the centroid of the given shaded area of the region formed by given…

Q: The values of C, and C2 so that y(x) = C, e* + Cz e-3* satisfies the following conditions: y(0) = 2…

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Q: Andre makes a trip to Mexico. He exchanges some dollars for pesos at a rate of $$20 pesos per…

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Q: x/1 – x dx

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Q: 3. Sketch the region R bounded by y = the x – axis and x = 1. Find the volume of the solid formed by…

A: This is a problem of the volume of rotation.

Q: Add the following binary numbers: (a) 11 + 11 (b) 100 + 10 (c) 111 +11 (d) 110 +100

A: Binary numbers addition

Q: * - xy + yỷ dA where R is the region given by x² – xy + y < 6. Consider R After using the…

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Q: write the Princi fal Part of the functionat Singular Point and detelmine whether the aremo Vable…

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Q: . Apply Green's Theorem to evaluate the given integrals: a. 2x +y)dx + (2xy = 3y)dy where Cis any…

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Q: Find the approximation to the root of the following function f(x) = x² +6 x – 24 using the…

A: The given function is fx=x2+6x-24

Q: Find the radius of convergence, R, of the series. Σ n2x 6 12 18· (6n) ... n = 1 Find the interval,…

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Q: [t +3 If A = -1 6. t- 3 -6 one of the following must be true? 1 t+ 4] A) The rank is 3 ift#-4, B)…

A: Rank of the Matrix, and it's properties

Q: Give a recursive definition of the sequence 2, 4, 6, 8, 10, . Then write the corresponding recursive…

A: Given sequence is 2, 4, 6, 8, 10, .......... We have to write the corresponding recursive algorithm.…

Q: 1_If the requirement is greater than available in transport matters, we add an imaginary row with…

A: As per our guidelines we are supposed to solve only one question that is the first one. For the…

Q: 4. Solve the following problem in co,00) x (0,00) for xE(0, 0) for tE [o, oo) U(x,0) = J(X) uc0,t)…

A: We have to solve the following :       ut-∆u=0  in 0, ∞×0, ∞ux, 0=gx for x∈0, ∞u0, t=0 for t∈[0, ∞)…

Q: 22.37 Amount 24 spent on 27.61 20 entertainment 20.03 (in dollars ) 16 29.07 23.43 2.

A: In this equation, the equation of the line of best fit is given. The observed amount, the predicted…

Q: A company surveyed 36 people at an Italian restaurant and asked if they ordered the following pizza…

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Q: x sin x dx x² + 9 2

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Q: Q1: Find the area of the region between the curve y x-3x and the line y = x.

A: Let us consider the curve y=f(x) and y=g(x) between the interval [a,b] The area under the curve is…

Q: Find term 4, term 6 and term 8 given by the formula: n2 +n+6 a n ;n2 1. n +7 Determine whether the…

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Q: When you stand in shallow water and look at an object below the surface of the water, the object…

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Q: 25. у" - 2у' + у 3 21- 3, y(0) = 5, y'(0) = 11

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Q: Consider the function f(z,y) = kr?- 2ry +y?. %3D 1. Show that (0, 0) is a critical point of f(z, y).…

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Q: Use the given transformation to evaluate the integral. 3xy dA, where R is the region in the first…

A: If we want to integrate f(x,y) over the region R. Under the transformation x=g(u,v), y=h(u,v) the…

Q: Find 23 + 8i (а) lim z-2i z2 + 4

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

Q: b1) The Fourier coefficient of Fourier series of the function f(x) = x + x²,-2<x< 2 is

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Q: For n=7 find b ) where bas,") is werght function for Bernstein sype operetuns 6) andf2(X) Suppose…

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Q: Q2/ Complete the following table to find the values a, b,c and s

A: # the value 308 is given incorrect . it should be 3162-2845=317 so taking value 317 for calculation…

Q: Show that if U and W are subspaces of the vector space V, then dim UnW < min{dim U, dim W} . Prove…

A: Given statement is false. Counter example is as follows

Q: Without solving the exact answer, calculate sin(2) by evaluating up to six terms of Maclaurin series…

A: For the solution follow the next step.

Q: Läte 3 1 act on C. Find the eigenvalues and a basis for each eigenspace in C. Let the matrix -37 5…

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Q: pr which all th below are rea 4

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Q: Find a Taylor series expansion around x = 1 for f(x) = 2/x2

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Q: Let A = -2 Which of the following is true? 1 A is not diagonalizable O A is diagonalizable None of…

A: Given matrix is A=−2411. We have to check which of the given option is correct. First find the…

Q: Find vector and parametric equations of the plane through A (1,1,-1) and B (0,-2,3) that is parallel…

A: The solution is below.