2: The function f(x) = x² + 2x² + 3x² + 4x₁x₂ + 5x₂x3 + 6x₁x3 can be written in the form f(x) XTQX with the matrix [1 2 3 [1 1 3] A: Q = 2 2 31 5 6 C: Q=2 5 2.5 B: Q=4 3 D: Non of these 13 3 1. 16 A О в O C O D 2 2.5 142 334 5 4

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A: This is the question of multi-variable calculus.

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Q: mperature T of a heated circular plate with the origin being at th 64 T(x, y): = x² + y² + 2 point…

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Q: 9. Find inverse Laplace: 1 —— es S

A:

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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A: To Solve: y' lny + x2y=0

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A: Please see the type syntax

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Q: x=3 Qs. A: Find * x²dx by using Riemann integral.

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

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A:

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Q: 1. Consider L{y(t)} = Y(s). By solving the equation ty"(t) + 2ty(t)=0 con y(0) = 0 you have to: A)…

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Q: f(X) is a convex function, then ef(x) is also convex function. True

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Q: Let 21 = 8(cos(190°) + i sin (190°)) and Z2 17(cos(14°) + i sin(14°)). = Compute each of the…

A: If z = r e^(i x) implies z = r ( cos (x) + i sin (x))

Q: 5. Find the slope for f(x, y) = xey at P (2,0) in the direction of the line from M(2,0) to N(-1,2)

A: To find the slope for function f at point P in the direction of the line from M to N.

Q: . Find the length of time required for $2500 to increase to $3250, if the money was invested at 8%/a…

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Q: 14 Across: uxx + ux + uy - 0 is a ______differential equation.

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Q: where is the table???/

A: given function y=-0.2x-5-6 consider the function y=0.2x                ...i x y=0.2x -0.684…

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A: Find the value of vehicle after 2 and 5 years :-

Q: Find the orthogonal projection of -10 14 11 V = 15 onto the subspace V of R4 spanned by -1 2 1 X1 =…

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Q: 7: 1 The norm of the matrix A = [is is equal 4. 1 3. O True O False

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Q: Let f : [0, 1] → [0, 1] be continuous. Show that there exists an element x = [0, 1] such that f(x) =…

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Q: Once in motion, a pendulum's distance varies sinusoidally from 12 cm to 2 cm away from a wall every…

A: Solution:Pendulum's distance varies sinusoidally from 12 cm to 2 cm away from a wall every 12…

Q: If a function is defined as f(x)=Ax2+Bx+Cf(x)=Ax2+Bx+C, then the graph of the function is a parabola…

A: Given function is f(x)=Ax2+Bx+C          (1) Since f(x) is equation of parabola. We can write (1) as…

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A: This is the question of linear transformation.

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Q: x¹ + x² + 1 I(x² + 1)² -dx.

A: The given integral is: ∫x4+x2+1xx2+12dx Evaluate the given integral.

Q: 9. Find inverse Laplace: 1 es S ܀

A: Given: F(s)=e-1ss To find: Inverse Laplace of given function.

Q: find the general solution for the equation Y() = -[Y(+)]³² +Y()

A: Use the following formulae, to obtain the solution. ∫dxx-a=lnx-a+Clnxy=lnx-lnyelnx=x Where a and C…