What is the likelihood ratio p(x|C₁) p(x|C₂) in the case of Gaussian densities?

Q: Problems 1. Let G be a simple graph. Prove that if there is a walk from A to B, then there is a path…

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Q: Solve the initial value problem u(t) -0 du dt 4u+3t = e 5 u(0) = 9

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Q: 2. Let V = M₂ (R). Show that the symmetric bilinear form : VxV→R given by (X,Y)= tr(XY) (X,Y)=0 for…

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Q: A force is specified by the vector F = [(-170)i + (120)j + (-80)k] N. Calculate the angles made by F…

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Q: 3. Find a necessary and sufficient condition for there to exist an Eulerian walk between two…

A: To determine: A necessary and sufficient condition that must be met for a connected graph G to have…

Q: Find the first four nonzero terms in a power series expansion of the solution to the given initial…

A: The initial value problem is provided as: 6y'-2exy=0;   y(0)=2. The Taylor series expansion of y(x)…

Q: find the equation of Clarence as a function of t Result of ecuation= T^2/W W and H = Constant.

A: Given below explanation

Q: 5. Express the flowing quantities in rectangular form. a) sec(x + j1) b) cot(+j3) 2

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Q: Find the solution of the equation a²z a²z + cos y ax² dy² which tends to zero as x→∞ and has the…

A: Given partial differential equation is ∂2z∂x2+∂2z∂y2=e−xcosy. It can be written as follows…

Q: Fir Jousier, Sine Transfor 7 +(1²+1²) h

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Q: 27. A beam AB is supported by two crossed beams (Fig. 6-52). Find distance x. 28. Common Rafters:…

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Q: If m and n are odd integers then mn is odd.   Prove the above implication directly.  Write the…

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Q: A restaurant server earned 30% more in tips this week than last week. She earned $150 in tips last…

A: It is given that a restaurant server earned 30% more in tips this week than last week and She earned…

Q: Find the point closest to origin in R³ that is on both the planes 3x+y+z=5 and x+y+z=1.

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find all the eigenvalues and eigenvectors of the matrix 1 √2 2 √√2 3 √2 2 √√2 1

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: let Ax=b where A is n*n matrix and b = [bi]. find out the number if multiplications additions and…

A: Given: The equation is Ax=b where A is a matrix of order n×n and b=bi. To find: the number of…

Q: Let be a compact Hausdorff space, then find the necessary and sufficient condition for space to be…

A: Given that a compact Hausdorff space  To Find : Necessary and Sufficient condition for space to be…

Q: 2. 3) Suppose the demand function of a candy business (Qa) is given by Qa = 1000 e-0.2P where: P =…

A: Hint: The revenue function is price per unit times item produced and sold. hence, here…

Q: A group of three friends A, B and C wants to participate in a triathlon. They have to assign who…

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Q: Find_ƒ¹(0.8) & ƒ¹¹ (0.8) using quadratic interpolation.

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Q: 1. Evaluate f(xy+2²)ds where Cis an arc of the helix C x = cost, y=sint, z = t which joins the…

A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one is not…

Q: b) Graph the following trigonometric function for the interval 0 ≤ x ≤2: y = 2 sin(x)

A: Sol:- Before plotting , some information about graph :- Periodicity of 2sinπx:  2Domain of  2sinπx,…

Q: For the RSA algorithm with a large n, explain why Bob can calculated from n, but Eve cannot.

A: Hint: We need to discuss that what technique Bob is using.

Q: Verify that the indicated family of functions is a solution of the given differential equation.…

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Q: 5. Define x = 0 and X+1 = x, -[(tan x,-1)/sec²x]. What is lim x? Relate this to 11-400 Newton's…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 2A.Imani starts her hieyele from rest and accelerates uniformly to a speed of 40 km/h in 6 minutes.…

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Q: frequency. 2- Prove that matrix A is symmetric and matrix B is skew-symmetric 20 120 200 +34 10 150…

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Q: 2. Write six different iterated triple integrals for the volume of the rectangular solid in the…

A: Since you post more than one non interlinking questions, as per our guideline we can solve only…

Q: (1+5³7) (-¹-1²). C. Evaluate e Express the result in polar form.

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Q: Consider the quadratic function Ga+ba in four variables, where 2 -1 -1 2 --(-:-) -1 -1 2 -1 -1 G = 2…

A: As per the question we are given a quadratic function in four variables as : (1/2)xTGx + bTx Where…

Q: Use Fundamental Theorem of Calculus, Part 1, to find the derivative of the function: 9(a)-In (1 +6³)…

A: Fundamental Theorem of Calculus (Part 1): If fx is continuous on a, b, and the function Fx is:…

Q: o -3 - 5 ↓ 2 buy on IN A 65 US

A: We have to find out the components of the addition of the two vectors, that is, w→+v→.

Q: Minimize Pair of Objective functions (3,9), (4,1), (10,-3), (-7,11), (-8, 14), (7,-17), (6, 7),…

A: Given: Pair of objective functions are (3,9),(4,1),(10,-3),(-7,11),(-8,14),(7,-17),(6,7),(5,8) To…

Q: (i) Compute the equation of the tangent plane to the graph of the function f(x, y) = 3x²y-2y³ at the…

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Q: 1. Use the Newton's method to find the root of each of the following equations correct to 3 decimal…

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Q: 7. Evaluate Arc cos(j2).

A: It is principal value.

Q: Question 3. Denote by a, b the lines with the Cartesian equations y=0, x=0 respectively, and i=…

A: Given below clear explanation

Q: Consider the function f(n) = floor(n/2) from Z to Z. a. Is this function one-to-one? Is this…

A: Now, we have fn=floorn2 Part a A function is said to be a one-one function if no two elements from…

Q: How many kg of rice costing *8 per kg must be mixed with 36 kg of rice costing * 5.40 per kg so that…

A: The expression y percent gain on x is same as: x1+y100.

Q: 19. Show that (for n = 0, 1, 2,..) (a) F(-n, b; c; 1) = (c-b)n (c)₁

A: We have to show F-n,b;c;1=c-bncn Solution: By Pochhammer definition cn=Γc+nΓ(c)           (1) and…

Q: Show that topologically completeness is weak hereditary property.

A: In this question, we have to show that completeness is a weak hereditary property.

Q: Let f(z) be the principal branch of (z)^⅓, find f(-i)

A: What is Principal Branch: A function that chooses one branch of a multi-valued function is known as…

Q: 2. Determine f(ƒ(x)) if ƒ(x) = x² + 2x + 1.

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Q: 2.Proof that any tangent plane for the surface F(- point = 0 passses through a fixed

A: Given below clear explanation

Q: Find the radii of convergence for each of the following power series. (a) n=1 n(x - 1)" 2n

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

Q: 6. Devise a Newton algorithm for computing the fifth root of any positive real number.

A: Given : Positive real number  To Find : Algorithm of Newton method  for fifth root  NOTE : According…

Q: 2. Solve the given differential equations by the indicated method. a) y" +4y' + 5y = 4e + 15x - 2…

A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one is not…

Q: -8; -11; -14; Determine T, the general term of the number pattern. UAV

A: If the difference between consecutive terms is a constant for a sequence, then it is called as an…

Q: (a) Compute 40¹¹0 mod 37 using modular exponentiation. (b) Evaluate -96 mod 5

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Topic 3: Take a square sheet of paper of side 10 cm. Four small squares are to be cut from the…

A: Given: Length of side of square sheet=10 cm. The four small squares are to be cut from the corners…