The given curve is rotated about the y-axis. Find the area of the resulting surface. y = 1/3x^3/2,    5 ≤ x ≤ 12

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Q: Lind the Linearization of Nonlinear Relationships y = X+9 メナb

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Q: Jse Lagrange multipliers to find the indicated extrema of f subject to two constraints, assuming…

A: Given Maximize: f(x, y, z) = xyz Constraints: x + y + z = 32, x - y + z = 28

Q: 3. Let ī= {r„} be a sequence of real numbers. State the definition of the limitpoint set of T.

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Q: (e) Evaluate the following limit by interpreting it as a definite integral: lim

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Q: Find the arc length of the parametric curve x = 2cost, y = 2sint, z = 3t 0 ≤ t s=.

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Q: Rojana is 8 years older than AJ, and the sum of their ages is less than 24. Find their possible…

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Q: OA. C1 J(5/9) (x) + c2J_(5/9) (x) B. Cį J(5/9) (x) + c2 Y(5/9) (x) OC. c J9/5) (x) + c2J_(9/5)(x) D.…

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Q: Find least square solution of the unsolvable system а - 2b %3D0 а —b%3D5 a=0 a+b=-5 a+2b=0 write the…

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Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid…

A: Here we use basic integral formula of shell method to find the volume.

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Q: Give an example of a bounded sequence {a„}_1 having exactly 2 limitpoints.

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Q: Question 4: Let T be defined as T (v1, v2, v3) = (v1-v2+v3, v2-v3, v1+v2) a) Find the image of (1,…

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Q: 40. Let {r„}-1; {Yn}=1 be bounded sequences. Show that sup{r„}1+sup{yn}12 sup{rn + Yn}n=1 • 00

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Q: Find the eigenvalues 11 < 12 < 13 and corresponding eigenvectors of the matrix

A: Given,          A=-5-201400-130005

Q: Find the real numbers x and y. 1. X- iy = -2+ 3i Given that Z1 =1-2i & z = 4 + 5i find 2. Z, +z, 3.…

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Q: 1, if a is rational; 9. Consider the Dirichlet function f (x) = %3D 0, if r is irrational. TRUE or…

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Q: Prove that any convergent sequence {xn}=1 is bounded.

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Q: find whether the kectas linecoly depadent Justiy Your (5 -1 4),(6 t5),(169) independet? aue 94swer .

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Q: 1. R:y = Vx, y = 4, y – axis axis of revolution: y = 4

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Q: -5 Let M = 5 . Find cj and c2 such that 3 M² + c, M + c2I, = 0, where I2 is the identity 2 ×2…

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Q: 1 0 1 If B = -2 -2 -1 1 2 2 then det (B5) =

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Q: The complete graph K12 is Select one: O A. Eulerian and Hamiltonian O B. neither Eulerian nor…

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Q: )² - x² (4x+y'+ 13x'

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Q: Solve for the determinant of matrix A below. * 3 2 A =|0 1 -2 1 3 4 O 16 O 25 О зо

A: Given matrix is A = 32101-2134

Q: Question 4: Find the transition matrix (t) -3 A 2 B = A = -3 В -2 0 Deduce the solution x(t).

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Q: A particle has initial position vector (4i + 5j) metres. It moves with a constant velocity of (3i –…

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Q: = Ek=0 for each n = 0,1,2,3 .…. Let X = {Sn]n = 0,1,2,3 ……} and Let Sn = EIn = 1,2,3 -.}U {0}. Let…

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Q: Let (G, ) denote the set of all 2 x 2 real matrices A with det{A} 0 Question 5. and det { A} € Q…

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Q: Let f(x) = VT – 2 + k, where k is a constant. Suppose we want to evaluate | f(x) dz. Vā da – 2/ da +…

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Q: 4. Network flow is normally distributed with a mean of 570 bytes/packet and a standard deviation of…

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Q: Let A be a non-empty set of positive numbers, which is bounded above and let B = {x e R: 1/x e A}.…

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Q: Determine the Fourier transform of the following periodic signal 1+ cos(at + 5)

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Q: Evaluate the double integral f(r, 0) dA. 3 cos(0) r dr de Sketch the region R. T/2 л/2 2 2 -1 1 -4…

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Q: Let f(x)=x5−6x2+7. Compute the value of the Taylor polynomial of order 7 centred at x0=1 of ?f(x)…

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Q: How many bit strings of length 10 contain either five con- secutive Os or five consecutive 1s? How…

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