Given Q1 = 150 - 3P1 + P2 + P3 Q2 = 180 + P1 - 4P2 + 2P3 Q3 = 200 + 2P1+ P2 - 5P3 and TC = Q12 + Q1Q2 + 2Q22 + Q2Q3 + Q32 . Q1Q3 1) Calculate the hessian matrix and find H1, H2& H3

Q: SET-UP the double integral that solves for the volume of the solid: 3 3x+ 2y+ 4z = 12 4 X

A: We will have to find the volume of the given solid region.

Q: 3)L. y" + y – 6y = (12 – 16x)e*. i Consider the nonhomogeneous DE: A) Verify that y, = 4xe* is a…

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Q: Problem (1): Let r, s E Q with s t2 .r for all t e Q and let E = QIVr, V5). Prove that Gal (E/Q) =…

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Q: Find one real root of g (x) = ln(x4) = 0.70 between 1 and 2. How many number of iterations were…

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Q: Use the definition of the Laplace transform, L{f (t)} = | e-st f (t) dt to find the Laplace…

A: The given problem is to find the Laplace transform of the given unit step function with using the…

Q: Q1 Let ø(x) = x² for 0 < x < 1. • Calculate its Fourier sine series by odd extension; • Calculate…

A: Solution a) Given that ϕx=x2 for 0≤x≤1. Odd extension of ϕ(x) is  ϕx=x2, 0≤x≤1-x2, -1≤x≤0 Fourier…

Q: Find a particular solution to -8.5et y" – 4y + 4y = t2 +1

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Q: Let U be the set of integers from 1 to 15. U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}…

A: Solution: Given that Set A = {2,4,6,8,10,12,14} multiple of 2 and B = {3,6,9,12,15} multiple of 3

Q: Check your conjecture for Euler's Formula (activity 3a in this activity set) on the two polygon…

A: The Euler's formula is: V-E+F=2 where, V is the number of vertices, E is the number of edges and F…

Q: Solue by using

A: Write the equation in matrix form  30-121-24-31xyz=1505 find the determinant D…

Q: Wate par tial dariptive at finction al three varabler bや

A: To find the partial derivative at (x0 ,y0 ,z0 ) .

Q: (6) If u, = x-Pr(x)Pn -1(x) dx, show that nu, + (n – 1)un-1 | and hence evaluate u.

A: To find the desired result first we will use the recurrence formula for pn(x) . Then after…

Q: State whether or not the relation below represents a function and state its domain and range. a. b.…

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Q: x' + 4x + 3y = 0 y' + 3x + 4y = 2e* x(0) = y(0) = 0.

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Q: Al is at the point (0,6) and Bob is at the point (8,0). They are both running towards the origin. Al…

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Q: Apply the following transform to the point (1,-1, 2). Find the coordinates of the transformed point.…

A: The given matrix is, 120-10-121-21-13-1011 Let the transformed point be x',y',z',w The above four…

Q: 3 1 4 1 5 1 1- Show that the series is convergent. | 2 4 3 42 4 43

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Q: -21 A- 45 = 0 of coefficientr CO ous system A:

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Q: ation of all the relative and absolute extrema of the function. (Order your answers from smallest to…

A: Introduction: The input values of a function f(x) where f(x) has minimum or maximum values are…

Q: he coefficient ao of Fou +2 t. く?

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Q: Find a particular solution to -18.5e-2t 12 + 1 y" +4y +4y = %3D

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Q: ED bisects ZADC, 3 and mZA = 68°. F

A: Given that AB||CD  and AD||BC therefore ABCD is a parallelogram Now opposite angles of a…

Q: Q5. A Ferg uson Curve is defined by two Points (o, o, o) audl C5,0,0) aud two tangents I 1S the…

A: Let the curve be defined by following parametric form- x(t)= at3+bt2+ct+dy(t)= et3+ft2+gt+hz(t)=…

Q: . Let S be the part of the sphere r + y +z2 = 4 located above the plane z = 0, oriented at the point…

A: Here we can use divergence theorem to find the flux. Theorem states that If S is a closed surface…

Q: Find the derivative, r'(t), of the vector function. r(t) = (e-t, 8t – t³, In(t))

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Q: Indicate all integer solutions, congruent to 7, of the equation 2" = y. What if we replace 7 and 2…

A: Solution :       2x = y (mod 7)     Now if x = 0,then 20 = 1 = y (mod 7)     So, (0,1) is one…

Q: Show that (p-q)–(r¬s)and(p-r)-(4-s) are not logically equivalent.

A: To show that p→q→r→s and p→r→q→s are not logically equivalent.

Q: 3-8 (a) Sketch the plane curve with the given vector equation. (b) Find r'(t). (c) Sketch the…

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Q: Find the approximation to the root of the following function f(x) = x² +6 x – 24 using the…

A: The given function is fx=x2+6x-24

Q: Consider the following region Rand the vector field F. a. Compute the two-dimensional curl of the…

A: To find- Consider the following region R and the vector field F. Compute the two-dimensional curl…

Q: Write an iterated integral for dA over the region R bounded by y = Vx, y = 0, and x = 32 using R a.…

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Q: Compute the normal vector at (3, 3) and use it to estimate the area of the small patch of the…

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Q: Examine the convergence of the sequence an=sin2n/2n whose general term is (an) Find the limit with…

A: Given sequence is an=sin2n2n. We have to check convergence of the given sequence and then find the…

Q: OI tr surface obtained by rotating the curve 1 y = 4 1< x < 2, 3x about the x-axis. b). Consider the…

A: a. Consider the surface y=x34+13x, 1≤x≤2. To find the exact area of the surface when rotated about…

Q: (r' x r") · r" Ir' x p"|2 Find the curvature and torsion of the curve x = 3 sinh(t), y = 3 cosh(t),…

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Q: -3] Let A be a 4 x 4 diagonalizable matrix, P = |–1 1 1 0 2 1 [1 01 P-1 D = |0 Lo 2 1 3 If P-1 A P =…

A: Given A be a 4×4 diagonalizable matrix. And given matrix is P=00−3−110102, D=100020002 and…

Q: Determine f(5) if f is a continuous function that satisfies t 4x+sin(rz) f(t)dt = x for all z. %3D

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Q: value of the dir function

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Q: Iuse series representation to approvimate the integral Hint i Sum the first four terms of the series…

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Q: Thelma and David built a recycling bin that is 6 feet wide 12 feet long and 14 feet high. How much…

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Q: 1. Evaluate 4x³ds, where C ie the line segment trom -2,-1,QL,4). らt Xz xlt)= (1-t)(-2) + t(1) E) :…

A: Introduction: A line integral is an integral that determines the function to be integrated along a…

Q: 1- Are the following logically equivalent? ~R v S               ~(R & ~S)

A: According to the guidelines I am answering only first question. 1- Are the following logically…

Q: . Let S be the part of the sphere r+y? + 22 =4 located above the plane z 0, oriented at the point…

A: Flux of a vector valued function over a surface S is given by Flux=∫∫S F→ dS Here we can calculate…

Q: Question 2: Consider the nonlinear system -x1 + 10x2 - cos(x -x2) - 2 = 0 10x, + x2 + sin (x, + x2)…

A: We will use fixed point iteration method to find the function G, which will have its equilibrium…

Q: Question Identify anymisrepresentation issues in the given graph. Select all that apply. 100 80 60…

A: To identify the misrepresentation of the above graph :-

Q: True or  false- Standard form for a polynomial function is determined by the descending order of the…

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Q: Solve the given system of linear equations using the Gauss-Jordan elimination method. x + 2y – 3z =…

A: The solution is given as

Q: Haw.y If the directionl derivative Valne ( Du f) of the function flx,4) = x-3xy +uy 4t Paint (-2,0)…

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Q: Based on the density graph below, what is the probability of a value in the sample space being…

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Q: Q1- Determine the coordinates of the centroid of the area.: (1, 1) y= x,

A: The given problem is to find the centroid of the given shaded area of the region formed by given…