2 Find the maximum value of 7x1 + X2 + X3 + 7x4 subject to the condition that x +x, +x +x = 100.

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A: The complete solutions are given below  

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Q: 6. We defined the relation ~ between sets by A ~ B means that there there is a 1-1 correspondence ƒ ...

A: The complete  solution is in given below  

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Q: Find a closed form solution for the following recursive sequence: An :4an-1+5 for n > 1 with the ini...

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Q: 1. Calculate by the Power Series Method the value of y as general solution (term-by-term from n = 0 ...

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Q: f(x) =x²(3 – 3x)³ 2(3-3x

A: This is the problem of the application of differential Calculus.

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Q: A small country is comprised of four states, A, B, C, and D. The population of each state is given i...

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Q: For instance, since A(16) is about 140, the amount of goods that could be purchased

A: Given,           A(t)=100e0.021t and  A(16)=140  That is, in 1990 the price $100              in 200...

Q: Determine whether the series converges or diverges. 7n? – 1 Σ - 4n5 n = 9 + 9 converges diverges 8

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Q: Solve the system of linear equations using naïve gaussian elimination 2x+3y-z=1 x+y-z=0 5x-y-2z=1 Wh...

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Q: Show the following: (a) The vector (7) spans R'. (b) The vectors (1,2), (–2, 1) span R?. (c) The vec...

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Q: ubstitution Suggested by the Equation y′ + 1 = 4e^−y sin x

A: Given differential  equation is dydx + 1  = 4 e-ysinx ey dydx+ ey = 4 sinxLet  ey  = v eydydx = dvdx...

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A: The complete solutions are given below  

Q: The book entitled Basic Mathematics authored by Eugenio Guhao and Nida Abangolan (2015) has an ISBN ...

A: Given that, ISBN of the book is 978971821561_ This ISBN has 13 digits, assuming the check digit is "...

Q: -2 1 Consider the vectors ī1 1 -2 1 1 Are they linearly independent? If not either: (a) Find a linea...

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Q: Q4/ Answer the following (choose one) 1) Find F.T for f(t) = (1-5+(1-sin(21) 2) Find I. F.T for F(@)...

A: We will use the basic knowledge of Fourier transform to answer Question (1) because you have asked u...

Q: A large hotel chain needs to apportion 20 new surfboards for its visitors to rent among three hotels...

A: Modified quota of A=7.93 Modified quota of B=6.57 Modified quota of C=4.83

Q: 1. Give an example of a function that is one-to-one but not onto. Give an example of a function that...

A: An example of a function that is one to one but not onto b) an function that is not one to one but o...

Q: 4. Assume y(x) = eaªcosBx is one of the solutions of the DE y(3) – 3y" + 7y' – 5y = 0. - - Then a + ...

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Q: 1. The monthly sales (in thousands) of burgers (B1) and bites (B2) in three fast-food restaurants (R...

A: a) The sales in the months of January and February in the matrix form are represented as:Matrix repr...

Q: Find equation of plane normal to line = = and pass through line x = y = z.

A: The equation of a plane passing through the point: x0, y0, z0 is defined as ax-x0+by-y0+cz-z0=0, whe...

Q: ind the circumference and area of the circle

A: 1 Consider the given figure. We have to find the circumference and area of the given circle. Given d...

Q: 9. . Suppose that A = PDP¯' and B = 31 + 2A + A². 5 Let D a Find a diagonal matrix D1 such that B = ...

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Q: Q1. The region R is bounded by the x-axis and the curves y = x2 and x? + y? = 2. Sketch the region a...

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Q: (1 2 1 -1 1 0 0 A = 0 2 0 0 -1 1 1 1 0

A: We have to find the inverse of the given matrix A. We know that the inverse of the matrix A is writt...

Q: Determine whether the statement is true or false. If it is false, explain why or give an example tha...

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Q: Evaluate the following function at the indicated values. Q(x) = 2-x2 (a) Q(1) (b) Q(-3) (c) Q(-2)

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Q: If two cards are drawn without replacement from an ordinary deck, find the probability of a queen an...

A: Brief answer is given below.

Q: ... (Type a whole number.) Resort Number of toboggans (Type a whole number.)

A: The complete solution is in below

Q: L = ? s3- O 2/3 t^2 O 2 142 O 3/2 t^2 3t*2

A: Using the table of Laplace transformation, it can be written that: Ltn=n!sn+1.

Q: n! L[t*ent] = (s-n)n+2 True O False

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If yo...

Q: 2.3 Compute the principal square root of each of the llowing positive semidefinite matrices. (b) 2 3...

A: Please find the solution in next step

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Q: Question 1 For each of the following, determine whether the given SEQUENCE converges or diverges. If...

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Q: How much interest is earned on an initial investment of $700 with a 5 % annual rate for 2 years?

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Q: For each positive integer n, let P(n) be the following inequality. 2" < (n + 1)!

A: We have prove the statement using through induction.

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A: This is a problem of set and function.

Q: Find the sum of the first 4 terms of a geometric sequence with a = 270 and r= The sum is 2/3

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Q: 1. Determine in each case, if the given * has an identity element e. Now, if e exists, determine the...

A: As if e is the identity element then a*e = a = e*a and if c is the inverse of a then a*c = e = c*a

Q: For A= {2,x,v} B={w,x} C ={1,2,3} U=- C={1,2,3} U = {1,2,3,4, w, x,y,z} answer the following. Use pr...

A: Solution:-

Q: 4Does = c?t 4x +3 1o, have a solution? itis Solution describe aind demenstrate 4 yes a number line.

A: