The Hessian matrix for f(x) = x³x3 + x2x3 at the point [1 2 3] is given by: [6 0 31 [18 0 31 [3 0 6] 220 A: 022 B: C: 0 6 4 D: Non of these 3 2 0 10 2 31 3 4 0

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Q: Which of the following is a binary operation on the set of positive real numbers? a. a*b = √a + √a+…

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Q: ranslate each argument into symbolic form (using the suggested letters) and determine whether the…

A: An argument consists of a number of simple propositions. All simple propositions are connected by…

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Q: Question 2. Let E be the solid region inside the surface x² + y² + z² = 25 and above the surface z =…

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Q: Q1. Find the distance between the points A (-1, 3, 7) and B (2, -1, 6).

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Q: Describe in words the region of R³ represented by the inequalities sosys! Here, x²²s9 or…

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Q: Q1) Evaluate the following integral by using Odd and Even Powers Method: y = cos(x) dx

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Q: 06) Find the Area bounded by the curves y = √√x and x = 2y - y² ,with sketch.

A: To find the area bounded by the given curves :-

Q: Find the determinant of by cofactor expansion. 5 7 0 1 -7 0 -8 0 0 -4 0 - 2 0 0 0 -5 4 0 0 0 1 6 3 0…

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Q: (a) Draw a direction field for the given differential equation. (b) Based on an inspection of the…

A: This is the question of differential equation and direction field.

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Q: T(x,y) = x² + y² + 2 t(1, 2) find the rate of change of T in the direction = 7 I'm

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Q: 2. Suppose that {f(t)} = F(s) with F a differentiable function and that {f(t)} exists. Then L{-te*…

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Q: ) Draw a direction field for the given differential equation. ) Based on an inspection of the…

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Q: Sketch a graph of a function f that satisfies all of the given conditions. lim_ f(x) = -00, X→ 2 lim…

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Q: 5. Solve log 3x² - 5x=1 Solution [3T]

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Q: 1: Which of the following vectors are linearly dependent? 21 1 2 A: -4 and L C: 0 B: 2 and 4 [3] [6]…

A: We know that definition of linearly dependent vectors ,  A set of vectors is linearly dependent if…

Q: Q1] By using the Euler's method solve the differential equation +y = 2x, y(0) = 1 for the range…

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Q: 41. y' + (1/t)y= 3 cos 2t, t> 0

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Q: . What is the sum of the measures of the exterior angles, one at each vertex, of a polygon with 26…

A: (5) To find the sum of the measures of the exterior angles, one at each vertex of a polygon with 26…

Q: 8. Which of the following is true for the integral da ? xP (In x) q It diverges for p 1. It…

A: To find- Which of the following is true for the integral ∫e∞dxxplnxq ?

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Q: (a) Draw a direction field for the given differential equation. (b) Based on an inspection of the…

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Q: If u and v are the two solutions of d'y dy dx² + P + Qy = 0 dx uv₂u₂v + P (uv₁ - u₁v) = 0 (uv₁u₁v) =…

A: The given differential equation is d2ydx2+Pdydx+Qy=0.....(1) To prove: (a) uv2-u2v+Puv1-u1v=0…

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Q: 9. Find inverse Laplace: | es S

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Q: Evaluate the z transform of x(n)= a(n) u(n)

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Q: = 6. Consider the convolution f(t) 29* unit step or Heaviside. So, when calculating 29e-13s+a con a…

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Q: 6: [1 The rank of the matrix A = 4 15 True O False 2 2 5 7 31 6 is equal to 3. 9

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Q: f: X → Y be a surjective function. Define a relation on X by setting ay iff f(x) = f(y). Show that…

A: Please check the solution in next step

Q: Find the differential equation such that y(x)=c₁(x-4) 8+c₂ln(x-4) (x-4) 8 O 64x2 d²y d²y dx² +60x dy…

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Q: All solutions approach the curve y = 2-t² ast → ∞.

A: This is the question of the differential equation.

Q: Z is a complex number

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Q: میر داشته 40² | 422 + 81(1 + 2)2 dy . dz = 3

A: Given integral is -∫y=15 ∫z=35 4z2 +811+z2  dy.dz   Take       A = -∫y=15 ∫z=35 4z2 +811+z2  dy.dz

Q: 1.2. In the process of calculating L-¹ given by: -2.L -2s +3 we get an equivalent expression 10s 7 ^…

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Q: 11. Which of these tax forms reports an employee's yearly wages, tips, and other compensation? W-2…

A: We have to find the correct choice.

Q: about Find the the given phone orea in cubic units) method. (onwers are the given line Using the…

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Q: Solve by using the method of d'y dx² dy + 2x dx undetermined coefficients : + (x2 + 5) y = xe-xn

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Q: dy Let dt Draw a direction field with 9 points to justify your answer. a 2t² + 3y + 1. Which of the…

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Q: aplace transform, solve the IVP. = 5y₁ - 4y2-9t² + 2t, y2 = 10y1 - 7y2 - 17t² - 2t, _0) = 3, y₂(0) =…

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Q: Every even integer greater than 2 is sum of two primes? Give your views on this?

A: We know that 2 is even prime. And all other primes are odd.

Q: 3 y = 4 0.2x +5

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Q: -2 -5 -2 Let A = 3 5 -2 Find the third column of A1 without computing the other two columns. 1 3 3…

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Q: In the process of calculating the inverse LaPlace of the function. F(s) = -22- arctan (15) you…

A: Given, F(s) = -22·tan-116s

Q: 1 x x+2 x-2 100 10 x x−2 x+2 100 x+2_x−2 2. Solve for x if 0 0 00 00 100 -0. 0 x+2 x+2 0 0 100

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Q: Use the Laplace transform to solve the initial value problem Note: Use u for the step function. y''…

A: We have to solve the given problem.

Q: 17. y' 2yet, y(0) = 2

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Q: -49 fy y(u)du = sen (7t) * g(t) for some function g(t). 11. By solving the equation y(t) = = sen…

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