Find the maximum value of Q(x) = -2x + 10x3+4x1x2 subject to the constraint x² + x3 = 1. answer correct to 2 decimals

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Q: Consider the spring mass damper system shown below. k ww m x(t) The forces of the spring and damper…

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Q: Solve Ut=a²uxx, 0<x<L, ur(0, t) = 0, ux (L, t) = 0, u(x,0) = f(x).

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Q: vector (A) = -2 i-5j +2 k vector (B) = -5 i-2j-3 k Find the magnitude of (vector A. vector B)

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Q: In Exercises 29 and 30, describe the possible echelon forms of the standard matrix for a linear…

A: 29. Given that T:ℝ3→ℝ4 is one to one linear transformation. We have to write the possible echelon…

Q: Select the classification for the system given by: 1.92 s² +11s +4 H(s): = O Over Damped O Undamped…

A: The system is given by; H(s)=1.92/(s^2+11s+4) To determine the classification of the given system,…

Q: equation 1 is ||u+w||2 +||u-w||2 =2||u||2+2||w||2

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Q: 2. The graph represents the reciprocal function of fix). What is the equation of fix)? b. f(x)=2x²-1…

A: This graph represents the reciprocal function of f(x) =  -2x2 + 1. Therefore the equation of f(x) =…

Q: Find the equation of the plane tangent to the surface at the point P that is (approximately)…

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Q: Consider the following initial-value problem. Let af əx (x + y)² dx + (2xy + x²-9) dy = 0, y(1) = 1…

A: Here is the given initial-value problem, x+y2dx+2xy+x2-9dy=0 -----1, y1=1 To determine,  fx,y=?+hy…

Q: 6. M = 2 -7 1-6 a. Find the characteristic polynomial and eigenvalues of M. b. Find a basis for the…

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Q: Find the inverse Laplace transform, f(t) of the function F(s) = = 720 " 87 S 0

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Q: ve Theorem 4 for A 25. Show that if ad bc = 0, then the equation Ax = 0 has more than one solution.…

A: Q 25 asked and answered.

Q: less than 10-4 by a. the Trapezoidal Rule. b. Simpson's Rule.

A: A Numerical Integration problem is given.

Q: Suppose W is invarient under S:V\rightarrow{}V and  T:V\rightarrow{}V. Show that W is also invariant…

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Q: Show that {1, cos(kx) | k ¤ N} is an orthogonal family on [0, π] with inner product (f,g) = f* f(x)…

A: Since first and second subparts are not interlinked so as per our guideline, we are supposed to…

Q: The budget for a project on voting trends includes $3000 for hiring undergraduate students, graduate…

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Q: 1. For the vector field F=, show that div(curl F) = 0. (Note that this is true for any vector field,…

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Q: Solve the following DE: y"= 5[(y)² + 1]

A: Here we have to solve the given differential equation : y" = 5 [(y') 2 +1]

Q: Maximize p = 9x + 6y subject to x + 3y 2 6 -x+y≤ 4 p = (x, y) = ( 2x + y ≤ 8 x 2 0, γ 2 0.

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Q: 2. Let ----------3 2 Let Am Compute: (a) D+24 (b) AD (c) BC-A B

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Q: 4. Find the Taylor 2-3 fizi f1z1 = 2²72-20 ·lor series for the function at the point 20 = 3.

A: The sum of infinite geometric series  1+z+z2+z3+........ = 1/(1-z)=(1-z)-1 , |z|&lt;1  and…

Q: 5t y" + 4y' + 4y = est cos 2t

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Q: A population follows a logistic DDS given by a) Determine the growth rate r. Pa =…

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Q: Find a particular solution of the indicated linear system that satisfies the initial conditions x₁…

A: Here we have to find the particular solution of given linear system with given initial conditions.

Q: 11. TRUE or FALSE: If u is continuous on D and harmonic on D and if u vanishes on an open arc in OD,…

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Q: An object is shot vertically upward from the ground with an initial velocity of 224 ft/sec. For…

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Q: 3 (4)

A: We have to calculate 1131211-1=?   Matrix multiplication defined as:…

Q: Exercise 1.3.11 Let Vo be a subset of a Hilbert space V. Show that the following statements are…

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Q: #5. Prove that the fiz) = { is entive. function of defined by (e²-1-2)/2² 12/2 when z to when z=0

A: We have checked whether it is analytic at 0

Q: an – 8an−1 + 12an–2 = 0, ao = 0, a1 = 1.

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Q: Apply Green's Theorem to evaluate the integral (4y² dx + 4x² dy), where C is the triangle bounded by…

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Q: Prove that if ƒ and g are Riemann integrable on [a, b] then fg is also Riemann integrable on [a, b].…

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Q: 2) (i) State the converse of the Alternate Interior Angle Theorem in Neutral Geometry. (ii) Prove…

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Q: Consider the function F(x) and graph of f(t) shown below. F(x)= = √²+ ---Select--- ✓ = A f(t) dt…

A: Let us consider the given function Fx and graph of ft. Fx=∫0xft dt.

Q: 8. Which of the following integrals correctly computes xy + z² ds if C is the parametrized curve x =…

A: The curve C is parametrized by         x = t2           y = 2t         z = t  =&gt; dx/dt = 2t…

Q: Consider the equation 23-1-3, which has a unique root between = 0 and z 1. Apply Newton's method…

A: Here, consider the equation is x3=1-3x  and x0=1. To Find: The value of x1 and x2.

Q: I need more explanation on why second option is not possible?

A: From the given solution, we see that it has been proved that       δ(ACD) &lt; δ(ABC)

Q: 1. 3. dr dt x(0)-0, y(0) - 1 --x-2y dx dt dy <= 2x 1 = 5x - y x(0)=-1. y(0) = 2 dt

A: We have to use Laplace transform Method to solve given system of linear differential equations (1)…

Q: Illustration 5.13 A right-angled triangle ABC is inscribed in parabola y² = 4x, where A is the…

A: .

Q: Solve the inhomogenous heat problem = 2uxx, Ut u(0, t) = 2, u(x,0) = 2 0≤x≤n, t≥0 u(, t) = 5

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Q: Find the Laplace transform, F(s) of the function f(t) = 2, t> 0 F(s) =

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Q: Suppose the sequence {an) satisfies the inequality lan+1-an an | < |ªn-an-1|, n ≥ 1.

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Q: D find the fourier bransform of the following function 1 ; - 1/2 ≤ t ≤ 1½/2/2 {s; otherwise x (t) =…

A: According to our guidelines we can only answer the first three sub questions. Kindly post the rest…

Q: A- Find all points on the elliptic curve y² = x³ + x + 6 over Z7, choose one of these points as P to…

A: To find all points on the elliptic curve, y2 = x3 + x + 6 over Z7 , we can substitute each value of…

Q: Solve the linear programming problem. Maximize P=30x + 40y Subject to 2x+y = 14 x+y ≤ 9 x+2y = 16 x,…

A: Think about the following linear programming issue. Max P=30x+40ySubject to ,2x+y≤14x+y≤9x+2y≤16x,…

Q: Solve the linear programming problem. Minimize and maximize P= -10x+35y Subject to mpted 2x + 3y ≥…

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Q: P₁ = 1.03 P2 0.286 (PT) 0.978

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Q: Solve for x:log5 (2x + 2) - log5 (x + 1) = log5 (x - 1)

A: Given that   log52x+2-log5x+1=log5x-1. As we know that  logamn=logam-logan.

Q: State an equivalent distribution problem to the question: What is the number of integer solutions to…

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