ン Frnd in side r=2 inford quarler aren aul sde r= 1+s6

Q: Usng polor Codirte to Sad ared bourded by ブニリ ブ=ス

A: Here we use basic polar coordinates to find this.

Q: 10 0 0 1 0 If A = 0 k 1 then det (A) =

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Q: Let B = {1+x,1 – 3x?, x + 6x?} and p(x) = 12 + 8x + 9x?. You are given that B is a basis for IP2. If…

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Q: Question 20 2 0 0] Let A = |0 0 4 1 4 1 Which of the following statements is TRUE about the…

A: Solution

Q: Q5) Find volume of body bounded by z = 0 from below and z = 4 – x from above inside x = y? ,x = 4 .

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Q: Question 8 The binomial theorem states that for any real numbers a and b, (a + b)" = k%3D0 for any…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 3 0 07 Let A = |0 3 0 3 1 Which of the following statements is TRUE about the quadratic form f(x) =…

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Q: 8. 1 3 7 k 4 Let A = If the dimension of the eigenspace corresponding 8. 0 3 to eigenvalue 8 is 2,…

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Q: 2 1 -1 Let W = Span 1 1 . Then, the distance and y = 3 -21 11 from y to W is W is

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Q: Question 12 -9 6. The eigenvalues of 1 are 6. and

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Q: Let B = {b1, b2} and C = {c1, c2} be two bases for R?, where 31 b1 b2 C2 7 3 10 22 b] what is the…

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Q: 3 .3 n=1

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Q: E ナ2y +x ニン

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Q: A study determined that 11% of persons age 65 to 74 have a certain symptom. A group of 19 persons…

A: We have to find the required probability.

Q: Find the special solution to the following partial differential equation: (D + D'-1)(D + 2D'-3) = 4…

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Q: Q5) Find volume of body bounded by z = 0 from below and z = 4 – x from above inside x = y? ,x = 4 .

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Q: 4 1 1 1 1 4 1 1 You are given that the eigenvalues of A = 1 1 4 are 1 1 1 1 4 7, 3, 3, 3, counting…

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Q: Q2: Find the Tayler series of the following function with center z, = 5. 5z+2z+1 f(z) 22+5z+6

A: Given function fz=5z2+2z+1z2+5z+6. We have to find the Taylor series expansion given function fz…

Q: dT 4 dp 0; pdT T = To when p= Po dp Po e (T-To) O Option 5 L = e- (T-To) Po O Option 2 -0.5 (To-T)…

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Q: Let B = {b1, b2} and C = {C1, c2} be two bases for a vector space V. You are given that b1 = 5c1 +…

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Q: Question 33 You are given that B = {1+æ,1 – x², x + 2x²} is a basis for P2 and [p(a)]g = 3. If p(x)…

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Q: Let f be on [aib] and differentiable on Caib), Prove that continuous If azo, then there are if X3…

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Q: Suppose that is an eigenvector of a matrix A with corresponding eigenvalue 8. Then x is an…

A: Eigen values corresponding to the eige equations.

Q: 4. Evaluate the integral I 1 sin? x dx Include 4 decimal places on your 3 computation. a. single…

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Q: 1.5 (3-x Q1) Evaluate the integral dy dx using polar coordinate

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Q: 2* If ODE of 2nd order and y. 2 x + 3 e-2x, the suggested y, is: C e2x + c2 e3x Yp = Yp = a, x + a2…

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Q: Question 20 2 0 0] Let A = |0 0 4 1 4 1 Which of the following statements is TRUE about the…

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Q: Write a vector equation that is equivalent to the given system of equations. X2 + 4xg =0 4x, + 6x2 -…

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Q: Question 32 f 3 4 - Let S = 1 3 -7 1 8 -17 Which of the following statements describes the set S?…

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Q: Determine whether the following series converges or diverges

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Q: Question 31 2 1 1 U2 = 1 and W =Span{u1; U2, U3}. For 1 Let Uj = Uz = 1 1. 6. in W ? what value oft…

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Q: 1.1 Determine the following particular integrals: 3 1.1.1 2х D³ -8 1 Ka² – 3)e* } 1.1.2 D² – 2D +3

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: -4x -4y -3z 19 5x +2y +2z -15 3x +5y -4z 17 = x = y = z =

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Q: Let (V, (, )) be an inner product space and let v, W be vectors in V. If (v, w) = = 7 and w= 5, then…

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Q: Consider the inner product space (P2, (,)) with the inner product (p(t), q(t)) = p(-1)q(-1)+p(0)q(0)…

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Q: O Find valume bounded by %3D

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Q: I. Evaluate the following integrals. 1 1. d.x * ¤(9 – In? x)5/2 -

A: We can solve this using substitution method

Q: Evaluate triple integral S*dz dx dy.

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Q: Suppose that A is a 16 x 14 matrix that has 6 pivot columns. Then: (i) dim (ColA) is (ii) dim(ColA)-…

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Q: . Find all the solutions of 3x² + 2x + 1 8 (mod 63).

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Q: Let B = {b1, b2} be a basis for a vector space V. Let T: V → V be a linear transformation with the…

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Q: Given: sinx = (-1)" (2п+1)! x2п+1for x € R n=0 Compute the exact value of the sum 0-1)"(2n+1) „2n+…

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Q: Let (V, (,)) be an inner product space and let f,g be vectors in V. If || F|| = 4. ||g|| = 5 and ||…

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Q: 1 37 a Let A 1 1 Find a QR-factorization of A. If R = then the 1 value of a is , the value of b is…

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Q: Question 16 -37 25 For A = 1. 0| and 6 = a least-squar es solution of Ax 1 4 [10 What is the…

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Q: Question 32 f 3 4 - Let S = 1 3 -7 1 8 -17 Which of the following statements describes the set S?…

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Q: (aij) is the matrix of the quadratic form 2x + 3x, + 2x – 8x1x2 + 14x1x3 – 18x2x3, then the value of…

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Q: 1. The area B is given by { x² (x, y, z) E R² y? < 1, 2 = x² – y? B = 9 Assign Stokes' integral…

A: Given : area B is given by      B=x, y, z∈ℝ3 | x24+y29≤1, z=x2-y2 Assign Stokes' integral theorem…

Q: 2. Using triple integral to find the volume of a solid whose base is the region in xy-plane (z = 0)…

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Q: b) If y(t) is the solution satisfying the initial condition y(0) 1, find the value of lim y(t).

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