Using triple integral to find the volume of a solid whose base is the region in xy-plane (z = 0) and height is the surface z = xy and bounded by the curve y = 4 – x2 and the line y = 3x .

Q: Use Euler's method with step size 0.25 to compute the approximate y-values y1, Y2, Y3, and y4 of the…

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Q: Question 10 Consider the linear transformation T : P2 → M22 given by [4a + c T(a + bx + ca2) : You…

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Q: The table shows speedometer readings at 10-second intervals during a 1-minute period for a car…

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Q: Question 4 Consider the function (a) State the domain of f(r, v). f(I, v) 3zy (b) Find the limit by…

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Q: i need the answer quickly

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Q: a inside r= 2 aulside

A: Area is 9.42

Q: Question 34. Let A be a symmetric matrix. Suppose that u and v are two eigenvectors of A…

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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: Write TRUE if the statement is always correct and FALSE if otherwise. (a) If an >0 for all n E N,…

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Q: O Find valume bounded by %3D

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

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Q: ind the longes PtaV + (In(z- 2) )y = 0. y(3) = 1 and y(3) = 0

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

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Q: Let f(x) = sin(xx). Suppose that h and k are two functions such that H (x) = cos(xx), k'(x) = f(x+…

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Q: You are given that B = {1+2x², 1 + 2 + 3z,-8z- 5z²} is a basis [5 for P2 and p(x)]B =4.f p(¤) = a+…

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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: Question 26 1 2 41 a Let A = -1 1 -1 6 is in NulA, If 1 1 3 then the value of a is and the value of…

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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: You are given the data points (xi, Yi) for i = 1, 2, 3 : (2, 3), (1, –8), (2, 9). If y = a + Bx 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: 2 0 01 Let A = |0 1 4 0 4 1 Which of the fallowing statements is TRUE about the quadratic form f (x)…

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Q: Find the curvature of the function y=ln(3x)y=ln(3x) at x=3x=3. Find the radius of curvature at…

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Q: aluate L(t(uo - u) +tu,}.

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Q: QI) Evaluate the integral dy dx using polar coordinate

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Q: Given P(A|B) =3 P(A|B^), P(A) = 0.02 and P(B) = 0.25 %3D %3D a) Find P(ANB) b) Find P(B|A) c) Are A…

A: Given that PA|B=3PA|BC, PA=0.02 and PB=0.25. a We have to find the PA∩B. Since, given PA|B=3PA|BC…

Q: Example 12. In a, b, c are in A.P., prove that the following are also in A.P. () ь + с, с + а, а +…

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Q: Question 14 Let B = {b1, b2} and C = {c1, c2} be two bases for R, where [1 2. b1 b2 3 > C1 13 C2 =…

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Q: Question 18 Let B = {1+x, 1 – x2, x + 2x} and p(a) = 7+ 10x + 11a?. You are given that B is a basis…

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Q: Find the center of mas of the region bounled bry y - 28 - x, x = 0, y - 0 with mass density &x, y) -…

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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: +x (-1)" Given cos(x) = (-1)". n=0 (2n)! -x2n for all x E R, %3D 1. Express the integral cos x dx as…

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Q: Q3) Evaluate triple integral ,a * dz dx dy.

A: Evaluation of the triple integral

Q: Q1) Evaluate the integral * dy dx using polar coordinate Q2) Solve the D.E dy + (xy- xy2)dx 0 Q3)…

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Q: et Determine if the improper integral dx converges or diverges. (1 - e)2 If it converges, find its…

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Q: Question 16 -3 25 For A = 1 0| and 6 a least-squares solution of Ax -1 4 10 What is the…

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Q: Question 5 Suppose that A is a 16 x 14 matrix that has 6 pivot columns. Then: (i) dim (ColA) is (ii)…

A: Given that A is a matrix of dimension 16×14 that has 6 pivot columns. Then  (i) dim(ColA)=number of…

Q: If A = (aij) is the matrix of the quadratic form xi+3x, - x - 6x1x2 + 22x1x3+8x2x3, then the value…

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Q: Let T: P2 – P2 be defined by T(p(x)) = p(5x + 3) and let B = {1, x, x²}. b c] а If [T]B = |d e f,…

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Q: Solve for the laplace transform x(t) = 4(t/5) e-t/6

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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: Gniert y=x to polor to polar ニ 22 と= tane to Cortesian r Sinl a 色) ta Gatssian

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Q: Prove that Everry subset of negigible seti's gigible

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Q: de de dy 15 ans.

A: Given series is ∫01∫yy∫0ydzdxdy

Q: 4) Solve D.E

A: Solve the homogeneous differential equation

Q: Let A - ( ) a. Show that the vectors lz.A, A² are linearly dependent in Maz (R). b. Deduce that A"…

A: Statement (S1) proves that  I2 , A, A2  are linearly dependent.

Q: Section 6.2 p. 559/561 # 88 In the following exercises, differentiate the given series expansion of…

A: Here we use basic differentiation and power series expansion to find this.

Q: dx (1 – e²)² -1

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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: salvepE tany= Sin(2 +y) +Sin(x-y) (ans. secy= C-2 Casx)

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Q: If 21 = 22 = 23, 24 = 25, and mz4 = mz3 + 10°, What is m25? m25 =

A: Given that: ∠1≅∠2≅∠3, ∠4≅∠5 m∠4=m∠3+10o To find: m∠5