The following payoff table for a maximization problem is available. Decision Alternative State of nature 1 State of nature 2 D1 4. 1 D2 -3 D3 4 D4 D5 8. Which is the recommended decision alternative using optimistic approach? O D1 O D2 D3 D4 D5

Q: 7 dx x2 + 4x + 8 00

A: ∫-∞∞7x2+4x+8dx

Q: 2. Prove that if f be a nonnegative measurable function on E. Then f = 0 if and only if f =0 a.e. on…

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Q: Verify that 1, is an eigenvalue of A and that x, is a corresponding eigenvector. 2 = -11, x, = (1,…

A: To verify that given eigenvalues and eigenvectors are belongs to the given matrix A.

Q: 8. In the prism, assume all dimensions have different lengths. a. State 3 equal vectors to DC. b.…

A: The 3 equal vectors to DC→ are HG→, EF→ and AB→ Since they have same magnitude and the same…

Q: Find the eigenvalues of the matrix and determine whether there is a sufficient number to guarantee…

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Q: Read the following proposition and then answer the questions which follow: Proposition. If z and w…

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Q: 11. Determine whether each of the following statements is true or false. If a statement is true,…

A: To find whether the given statement is true or false.

Q: 7. Let f(z) = . Use the polar form of the Cauchy-Riemann equations to determine where f is…

A: In rectangular coordinates: Consider the function f(z)=u(x,y)+iv(x,y) defined on a region A . If u…

Q: sin(r )dt = i

A: We have to evaluate ∫04sin(t2)dt using calculator.

Q: Section 7.2 p. 640/642 # 76 For the following exercises, write the equation of the tangent line in…

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Q: luate the triple integral /// V² + y² + z² dV over the spherical shell E 9.

A: Integration using spherical coordinates

Q: Circular Disk Method 1. R:y = Vx,y = 4, y – axis axis of revolution: y = 4

A: Given that R:y=x, y=4, y−axis and axis of revolution y=4. We have to find the volume of the solid…

Q: Using Eigenvalues and Eigen Vectors shve Cthe System: *C) =4メ+ y'4) =-2x *24 A=

A: Use the given matrix.

Q: -2 A = b, b2 1

A:

Q: 3) Using the Power method, obtain the largest eigenvalue and the corresponding eigenvector for the…

A: We will use the basic knowledge of the power method and perform two iterations only, as specified in…

Q: 14 if z +i 3. Let f(z) = 8i if z = i (a) Calculate limf(z) using properties of limits. (b) Use the…

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Q: An article in the Journal of Sound and Vibration (Vol. 151, 1991, pp. 383-394) described a study…

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Q: Find the length of the curve. r(t) (7t, 3 cos t, 3 sin t), -2 sts 2

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Q: п — h n

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Q: sin 3t 4.f(t) : t

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Q: 2. (G VH) →(G AH) - (GAH) :- (GvH)

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Q: Question 7 If the heights of women are normally distributed with a mean of 64 inches and a standard…

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Q: ral L9/x? + y') dxdy.

A: Solution :-

Q: Let A - -2 -1 -2 and assume that B = -2 is now equivalent to the 1- -1 -1 1. matrix the nettsporce…

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Q: Express the given system of higher-order differential equations as a matrix system in normal form.…

A: We will convert the given system to a system of first order differential equations in matrix form.

Q: Find the Fourier sine and cosine transform of f (x), if х, 0 2

A: Fourier Cosine transform and Fourier sine transform

Q: Use Green's Theorem to evaluate the line integral. v? dx + xy dy C: boundary of the region lying…

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Q: Fund the ffirst three terms in the Fourier Sine series for the funotion: Cexterded as a 2ir periodic…

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Q: 土

A:

Q: Ivan the trainer has two solo workout plans that he offers to us clients: plan a and Plan B. Each…

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Q: Determine if the function is continuos. If the function is not continuous, find the x-axis location…

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Q: 2. Let R be the relation on the set {1,2,3,4} containing the ordered pairs (1,2), (1,4), (2,1),…

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Q: The mean score of a girl in 3 tests is 68. What should her mean score in 2 remaining tests be in…

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Q: Part 2. Prove that the following are equivalent A. by Constructing a truth table 1. [p V (~p ^q)] +…

A: We will use truth tables and rule of replacements here

Q: No graphing utilities. Solve the system using Gauss or Gauss-Jordan elimination method. You must…

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Q: a) Given the following Linear Programming (LP) problem: Minimize z = 2x, + 3xz Subject to x, + 3x, 2…

A: It is a Linear Programming problem and I solved it using Two-Phase method in the next steps.

Q: Н.W Ql: Evaluate f y* dx - x'dy where C is the positively oriented circle of radius 2 centered at…

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Q: х, + 3x, — 2х; + 2x5 2x, + 6х, — 5х,- 2х4 + 4xs 3x, = -1 + 15x, = + 8x, + 4x; + 18х, 5x; + 10х, 5…

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Q: Select all the equations that have a solution of %3D O 22 4 %3D %3D 49 %3D O 23 343 O 2 =

A: A real number x0 is a solution of the equation fx=0 if and only if it satisfies the equation i.e.,…

Q: A credit card account had a $261 balance on March 5. A purchase of $196 was made on March 12, and a…

A: Solution

Q: Given the diagram of the rectangular prism, determine expressions for the listed vectors in terms of…

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Q: Using t = x +1, find the parametric equations sets that represent the graphs of the rectangular…

A: y=2x-1As t=x+1⇒x=t-1⇒y=2(t-1)-1=2t-3  The parametric equations are x=t-1, y=2t-3…

Q: Use Gauss's Theorem to find the surface integral OF •dS across the positively-oriented S sphere of…

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Q: Solver: y(ln(x))dx+(1+2y)dy=0

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Q: Let -3 -1 M = -5 1 be a vector in the vector space V of 2 x 2 matrices with real number entries. Let…

A:

Q: Represent the line segment from P to Q by a vector-valued function. (P corresponds to t = 0. Q…

A: The given points are P0, 0, 0 and Q4, 6, 6. Let us denote  x1, y1, z1=0, 0, 0 and x2, y2, z2=4, 6,…

Q: Use the Newton-Raphson formula once to find an improved estimate of a solution to the equation 2x -…

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Q: Prove that the transformation below is LINEAR. T:R² – → R3 R³ T(x,y) = (x + y, 3y, 2x – y)

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Q: (5xy --- 6x(2^

A: Given,        F=(5xy-6x2)i+(2y-4x)j and   y=x3 from the point (1, 1) to (2, 8).

Q: lse the definition of Laplace ransforms to find the Loplace cansform of: o st<z hCf) = も22

A: Laplace transform of the function