5 Given A=-2 6 0 2 92719 2, and X= x₂ show that XTAX = 27, suggest that 5X + 6X3+7X3-4X₁X₂ + 4X₂X3 =27 -2 01

Q: Calculate the following commutators: (a) [0₂, 06]; (b) [O₁, O₂]. The procedure is to calculate [A,…

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Q: (i) Using Picard's approximation method find two iterates of the initial value problem: dy=y+y²,…

A: For a differential equation dydx=fx.y with initial value xo,y0 Picard approximation can be given by…

Q: 9. Besides the 3 discontinuities (infinite, removable and jump) name 3 scenarios in which the…

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Q: 5 Estimate the minimum number of subintervals to approximate the value of √5x+3 dx with an error of…

A: For an integral ∫abfxdx error estimation in trapezoidal rule Tn ≤Mb-a312n2 M is the maximum value of…

Q: Vincent wants to build a rectangular vegetable garden with an area of 600 square feet. He has 100…

A: The quadratic equation has many applications in different real life scenarios. Many real life cases…

Q: Choose the correct sum of the following geometric series Σο(!)" Option 2 Option 1 Option 3 13 3 1|2…

A: I have given the answer in the next step . Hope you understand that

Q: Estimate the area of the shaded region in the graph by using the Trapezoidal Rule with n=4. A Select…

A: Trapezoidal Rule:-  Area = ∆x2fx0+fx1+fx2+......+fxn  Here, ∆x denotes step size. Given graph is…

Q: 6. Consider the dynamical system dx -= x (x² - 4x) dt where is a parameter. Determine the fixed…

A: From the above details we have,

Q: Let it be the matrix B= [4 3 ] what -1 5 is the Product of the Collection Bt with the one matrix

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Q: Q+ (PAR)→ B, A CHA B, A-CEBVC (Q v S) (BAC)

A: To provide the proof for each arguments using basic rules.

Q: 2. A water treatment plant processes gray water at a rate given by r(t) = 16e0.2 million gallons per…

A: Since  you have posted a multiple  question according to guildlines I will solve first  (Q2)…

Q: Problem 3. Use a recursion tree to determine a good asymptotic upper bound on the recurrence T(n) =…

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Q: B)ls w = Ze² analytical function or not?

A: Sufficient condition for differentiability  : Let G be a region in the plane and let u and v be…

Q: 35. Determine the following Legendre symbols. A (鼻) b. (六) e (六)

A: Sol

Q: Determine the 1st and 2nd degree Taylor polynomials L(x, y) and Q(x, y) for ƒ(x, y) = e¯x²—y²…

A: Introduction: The formula of 1st and 2nd degree Taylor polynomial at a point a,b is given by,…

Q: B)Evaluate the integrals: i) S ii) f/2/2 x 2² siny dz dy dx. rdrde,

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Q: Find the linear approximation to g(z) = cos(z + 1) at z = 0. Use the linear approximation to…

A: The formula to find the linear approximation Lz of a function fz at the point z=z0 Lz=fz0+f'z0z-z0

Q: B)Is w = Zez analytical function or not?

A: Here we use the Cauchy Riemann equations to show that the function is analytic or not. At follows

Q: The base of a three-dimensional figure is bound by the line y = -x + 1 on the interval [-3, 0].…

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Q: Q3A)Find normal line and parallel plane to the function f(x, y, z) = x²y²z² - 4 At point (1,-1,2).

A: We have to solve given problems:

Q: Zez analytical function or not?

A: We check whether w=zez is analytic function or not.

Q: 5 Given A=-2 -2 01 -2 6 2 and X=X₂ [X3] 1 0 2 7J show that XTAX = 27, suggest that 5X +…

A: Given- Given A = 5-20-262027 and X = x1x2x3. To Show- Show that XTAX = 27, suggest that 5x12 + 6x22…

Q: Determine the equation of the plane that passes through (2,-4,1) and is perpendicular to the line of…

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Q: If the Wronskian W of f and g is t²e4t, and if f(t) = t, find g(t). NOTE: Use c as an arbitrary…

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Q: 4. Prove that (a + b) ≤a+b≤ a + b for any real numbers a and b. (Hint: Use cases when a, b ≥ 0; a, b…

A: 4. To show: -a+b≤a+b≤a+b Please post the multiple question separately.Here i answered 1st question…

Q: 2. Given a line that passes through the point (-2,1,3) and is parallel to the line joining A(1,5,3)…

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Q: 12. Use polar coordinates to find the volume of the solid inside both the cylinder x² + y² = 1 and…

A: Note: We are entitled to solve only one question at a time. As the specified one is not mentioned,…

Q: Find the number of positive divisors, the sum of the positive divisors and ∅ of the following…

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Q: .a. Is the set of vectors W = {(x,y,z) x,y,z € R,x=z+2} subspace of R³?

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Q: The following linear equations G write the system f equations in the from AX= B 5X-3 Y: 2 4x + y =…

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Q: let a=2+7i b=4-2i Choose the correct result of a/b * O (6-361)/20 O(-6+361)/20 (-6-361)/20…

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Q: Find a, b, c, and d such that the cubic function f(x) = ax3 + bx2 + cx + d satisfies the given…

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Q: 30 -20 -10 20- 10- -10-

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Q: Find the general solutions of the system. 30-4 4# -15 -1 x 10 7 x(t) =

A: We solve given system by eigenvalues and eigenvectors.

Q: Find an equation of the normal line to the surface given implicitly by z = sin(xy) at the point…

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Q: Struggling with SOHCAHTOA. Can somebody help me? Please include an explanation. Thank you in…

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Q: 3. Compute the tangent plane at u = 0 and v=0.

A: Introduction: The formula of the tangent plane of the function f(x,y) at the point a,b is given by,…

Q: Write each of the following sets in correct roster notation: (a) {n % 5 : x ∈ N}

A: Given (a) {n%5 : n ∈ℕ}   To Write Set in roster notation.

Q: (7) Solve the PDE by Laplace Transform a²w aw <=100 +100 + 25w, ar² at w(x, 0) = 0 if x ≥ 0, we(x,…

A: The given P.D.E is                       ∂2w∂x2=100∂2w∂t2+100∂w∂t+25w,wx, 0=0 if x≥0, wtx, 0=0 if…

Q: 14.a) Use the Gram Schmidt Orthogonalization Procedure to transform the basis {(0, 1, 2), (1, 1, 2),…

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Q: Fernando runs a restaurant that sells two kinds of desserts. Fernando knows the restaurant must make…

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Q: The following diagram shows the parallelogram ABCD. B A D Let AB =p and AC=q. Find each of the…

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Q: 5 37) [D + 1 LD + 3 Solve the following simultaneous linear D.E. 2D + 11 et +10) = {²} 4D + 111 -2t

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Q: 4. The height of a sunflower was recorded every seven days as it grew. Day 7 14 21 28 35 42 Height…

A: Here we find the exponential regression equation for the given data using normal equations. And then…

Q: Choose the correct sum of the following geometric series Σο(!)" Option 2 O Option 4 O Option 1 O…

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Q: 18. Create the equation of a function whose rate of change is always negative, but is increasing as…

A: Rate of change i.e. derivative is negative.  A function with neg. Derivative is a decreasing…

Q: Q3: Answer the following: a) Use Cauchy-Riemann equations to test whether f(z) is analytic. Here…

A: Here given function  fz=z+iRez-eizorfz=z+iRez-cosz-isinz   .......1 Now consider z=x+iy Then…

Q: Which of the following series converge absolutely, which converge conditionally, and which diverge?

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Q: Proceed as in this example to find the solution of the given initial-value problem. Evaluate the…

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Q: 2. Solve the outgoing signal problem Utt- c²uxx=0, x > 0, -∞0 <t<∞0; ux (0,t) = s(t), -∞0 < t < 00,…

A: From the above details we have,