2x=4

The Mathematics Department is holding an election for department chair. Each member ranks the candidates from first to third. The preference table below shows the the results of ballots with candidates Clark (C), Jones (J), and Smith (S).

find A-B

Suppose we have the problem: Min f= 3x+2y, subject to constrainsts 5x+y 210, 2x+y 26, x+2y z 12, If we solve by dual simplex method (add p, q, r as surplus variables respectively), then, in first iteration

Suppose we have the problem: Max f = 2x+3y+z, subject to constrainsts 3x+6y+z ≤6, 4x+2y+z s4, x-y-z = 3. If we solve by simplex method (add p, q, r as slack variables respectively), then, in first iterationI

Suppose we have the problem: Max f = 2x+3y+z, subject to constrainsts 3x+6y+z ≤6, 4x+2y+z s4, x-y-z = 3. If we solve by simplex method (add p, q, r as slack variables respectively), then, in first iterationI

2+2+2+2

Cosec

44338811-11883344+213604

a triangle measurements of 93 degrees and 20 degrees.What is the measurement of the third angle

If alpha and beta are the zeros of the quadratic polynomial 3x2-5x-2, what is the value of alpha ^3 and beta ^3?

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if three vectors a vector b vector and c vector are mutually perpendicular unit vector in space then write a relationship between them

if three vectors a vector b vector and c vector are mutually perpendicular unit vector in space then write a relationship between them

Find the cardinal number of: C={x : x=9n, n ∈ W and n ≤ 10} 

Suppose that we have a single input variable X and an output variable Y. To predict Y, consider a piecewise polynomial model with quadratic order. Also, suppose that this model has two knots = 5 and ₂ = 10.

(1) How many free parameters does this model require? Justify your answer.

(2) Specify the model for a region 5 < X < 10. You should represent it as a quadratic equation (i.e., find a, b, c in Ya+bx+cX²).

(3) Suppose that we have 3 observations of X. ( 12. 22, 36). Construct

the input matrix X.

Suppose that we have a single input variable X and an output variable Y. To predict Y, consider a piecewise polynomial model with quadratic order. Also, suppose that this model has two knots = 5 and ₂ = 10.

(1) How many free parameters does this model require? Justify your answer.

(2) Specify the model for a region 5 < X < 10. You should represent it as a quadratic equation (i.e., find a, b, c in Ya+bx+cX²).

(3) Suppose that we have 3 observations of X. ( 12. 22, 36). Construct

the input matrix X.

Laplace transform y"+4y=5u(t-1) , y(0)=0, y'(0) = 0  

Laplace transform y"+4y=5u(t-1) , y(0)=0, y'(0) = 0  

Given a 5 x 5 matrix A and two vectors by and b2 , compute the total number of operations ( multiplications , additions and divisions ) used in Gauss elmination and Doolittle's method in solving Ax = by and Ax = b2 Which of the two is faster and why ? Would the operations count change if Doolittle's method is replaced by Crout's method ?

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(a) An urn contains 20 balls numbered 1 through 20. You then select 10 balls one by one, without replacement. What is the probability that the numbers on the 3rd, 5th, and 9th balls are increasing?

(b) An urn contains 20 balls: 7 red balls, 4 black balls, and 9 green balls. You sample 10 balls without replacement. What is the probability the 10th ball is black, given that the 8th and 9th balls are red?

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4. For a continuous time system, the s-domain transfer function is (40%)

G(s) = Y(s) 2s X(s) (3s + 1)(2s + 1)

If the input x(t) is a step function,

a. For a sampling frequency 1k Hz, use the bilinear transform method to find the

transform based transfer function G(z)... b. What is the difference equation (in terms of y[n] and x[n]) of G(z)?

C. Is this system stable? Why?

d. What is the z-transform of the output?

e. If the initial condition is known, y[n] = 0, n ≤0, what are the values of the first 3 elements of the output, ie., y[1],y[2],y[3]?

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Find all possible Jordon canonical forms for a matrix with characteristic

polynomial is (x − 3)^5 (x − 5)^4 and minimal polynomial is (x − 3)^3

(x − 5)^2 ?

Let br be a e e edges and positive integer that G has at leant m. graph with n vertices and let be the Smallest Prove such that n >= (2e)/x Vertex of  degree at least m

p=4800 n=2year 3 month r=8.5

0.2

0.2

Find out Look at the sun and find out the direction from where it rises. • From where you are, what interesting thing do you see to your east? • Name two things that are lying to your west.

These log boats do not go very far. If the wind is helpful, they travel about 4 km in one hour. • How long will they take to go a distance of 10 km? • Guess how far you can go in one hour if you walk fast.

Show that the line segment joing the mid points of quardrilateral bisect each other

2x=4

find A-B