= Find the mass of lamina enclosed by y = ax² and y = c if the density of lamina d = xy a=2 c=2 show the graph and steps for solution.

Q: [1 2 1 0 -31 0016 -8 000 01 Exercise 4. Let A = Lo 00 0 0 a. 3 b. 1 c. 2 d. None of the mentioned…

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Q: 2. The Dual model a. Is derived systematically from the Primal model b. provides the decision maker…

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Q: Question 6 A vector field is given by F(r) = z2+3+ yk, and a paraboloid is given by S = {(x, y, z) €…

A: Please see the attachment

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A: Here we find  determinant of the hessian matrix. Which is positive on its Domain.

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A: Fourier transform of the function

Q: x^2 + 5x - y = 6; y = 0; x = 3

A: Please see the attachment  According to the guidelines we are supposed to do one problem.

Q: Question2: Given the sequence 2, h(k) = 1, for k = 0, 1,2 for k= 3,4 0 elsewhere, where k is the…

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Q: ã = (–3, −5) and 7 = (1,4). Represent a + b using the parallelogram method.

A: Use parallelogram method of vector addition.

Q: dy Consider the equation = ay — y² = y(a — y). dt a) Consider the cases a 0. In each case find the…

A: Consider the given differential equation, dydt=ay-y2=ya-y As we know that the critical points are…

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Q: The function f(x) = x² + 1 is Bijection from R to R

A: This is a question from the function.

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A: This is the question of optimization and real-valued function.

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Q: Following the arithmetic sequence find the sum of the terms from a15 to a21 inclusive.  3,8,13,18…

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Q: Let f(u, v) = (u - v, 1,u + v) and g(x, y, z) = xyz. Find the entry a12(i.e. the entry in the first…

A: As per our guidelines we are answer submit of only first three sub parts question of multiple sub…

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Q: Let vector field F=(xz,-y,z) and surface, S is a cylinder x² + y² = 4 for 3≤z≤0 with the outward…

A: According to Stoke's theorem If S is a smooth surface  bounded by a closed, smooth boundary curve C…

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Q: Solve the following x²-x²-√√2x lime-21 x²-11x+18

A: Use L' Hospital Rule to evaluate the required limit as in next step.

Q: Given that z, = [3, 0.7], 2₁ = [2,1.2] and z, = [4,-0.5], (c) (i) find a complex number z = [r, 0]…

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Q: 5. You are making sandwiches for a large crowd. All must be identical and must contai slices of…

A: This is a question of optimization.

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A: According to guidelines we can solve only one problem.

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A: In the given problem we have to find an equation for a transformed sine function with an amplitude…

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A: We know that ,  A Proposition is a  declarative statement which is either True or False. To combine…

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A: When a curve  described by the function x=g(y), a≤y≤b  rotated about the y−axis, Then the area of…

Q: 5. if A.-A Cosa, A2 = A COSB A3 = A cos & and A = Aj+A₂³ +Azk then cosa + cosp + cos²/8 = 1

A: The given problem is to show the following identity with given vector values of A. Given A1=Acos(α)…

Q: 1. Factor the given matrix into LU decomposition (= 1 for all i) 2.1756 4.0231 -2.1732 5.1967…

A: ⌈ 1 0 0 0 ⌉ L = | -2 1 0 0 ｜   | -0.5 -0.214 1 0 ｜   ⌊ 3 -0.357 -5.34 1 ⌋

Q: The value of the following = (2+ sin 2x3) Using the trapezoid integration dx method, knowing that n…

A: Sol

Q: Sketch the graph of a single function f(x) that satisfies all of the following conditions, labeling…

A: Given information 1.   The domain of f(x) is  -∞,  ∞ 2.  f'x = 5x2 x2 -3 3. f''x = 10 x 2x2 -3 4.…

Q: Consider the equation -u" + qu 0 and suppose qo ≤ = q(x) ≤ 9₁ < 0. Show that for two consecutive…

A: The solution is hand written as requested:

Q: 3 ²³₁²₁¹ [2³ (x + y)³] dz dy dx Z -4

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Q: -1 1 1 1 1 1 −1 1 1 1 -1 -1 1 -1 1 and B = -1 1-1 1 -1 -1 1 5 k -1 1 5 k h all values of the…

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Q: EXERCISE 2.2 Derive the expression of the Bezier curve for the four points Po = ( = (0, 0, 0), P₁ =…

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

Q: 1) solve the following differential equations: a) (2x²³x+ sin (1/2-½x) + y ) dx + (x²y-x) dy = 0

A: We will make grouping of terms such that integration can be done .  Note: only one question is…

Q: 12 Compute for the sum. Answer directly. (2 Points) Enter your answer 8 Σ (3-2) j=0

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Q: 5) Given y(0) = 1 Over what area are we guaranteed a unique solution? Explain using existence and…

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Q: Consider the region bounded by y = x³, y = 2 - x and the y axis. - i. Sketch the region. ii. Set-up…

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Q: B) Compare between zero vector and unit vectors with drawing the suitable curves. C) Convert the…

A: Part B) We  have to compare between zero vector and unit vector by using drawing suitable curves.…

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A: To solve the given initial value problem.

Q: Find the general solution of the given differential equation. y' + 3x²y = x² y(x) = Give the largest…

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Q: TASK Double Ferris Wheel Some amusement parks have a double Ferris wheel, which consists of two…

A: Given, Each wheel has 6m diameter and revolve in every 12sec. Rotating bar is 9m long. Height is 8m…

Q: III. Consider the parabola C: 2-4 = -(x - 2)² on the xzz-plane. 1. Find the center-radius form of…

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Q: Solve the Bessel differential equation given below for y(1.5) under the boundary conditions given by…

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Q: The periodic function T(1) obeys T(x+2) = T(x) and |I| 0,n>0 mn= cos(mr) sin(nx)dx □ Σmn Smn²in²n =…

A: Let us calculate a0,a3 b1 b3 values respectively  Then we check the valid prop8of ghee kronecker…

Q: 19. (a) For which values of m and n is the complete bipartite graph Km.n a tree? (b) For which…

A: please see the attachment

Q: Given the set of equations below, 17x+6y+4z+5t=17 8x+22y+2z+4t=20 6x+3y+17z+7t=11 3x+4y+7z+19t=22…

A: We have matrix 1764517822242063177113471922 Cholesky factorization is possible for a symmetric…

Q: 1. Find the general solution. Indicate which method you are using. Show the details of your work. y'…

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Q: Which one is a correct symbolization of the following sentence in FOL? "Only happy poets like all…

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Q: Solve for y esec(4y²-6y+14) = 3x + 1

A: If p=sec q, then it can be written that q=2πn+sec-1π and q=2πn-sec-1π, where n∈Z. The roots of the…