The profit function for a company selling x units of a certain commodity is given by P(x) = -1500 + 12x-0.0004x2 When will the profit exceed $50,000? Show a graph that will help you solve this.

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Q: Calculate LU decompositions for each of these matrices (Non-anonymous questionO) 1 3 2 A = 2 8 5 2 1…

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Q: Example 11.14. Evaluate the pivotal values of the equation u = 16u taking Ax = 1 upto t = 1.25. The…

A: Please find step by step solution below:

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Q: I Example 11.6. Solve the equation V?u = 10(x2 + y? + 10) over the square with sides x = 0 = y, x =…

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Q: frunction Vercaty the u Cmiy) = verity the eelen's thertem Lore

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Q: (0.2t25x+3x²) dx

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Q: Q4/Solve the following Assignment problem using the Hungarian method 1 2 JI 8 3 J2 5 1 J3 6 0 J4 8 3…

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Q: Find the moving trihedral and the curvature at any point of R(t) = (t²,– cos 8t, sin 8t).

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Q: Q17: Build a centralized routing directory for the network B C 3 E

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Q: 5. Let f : [a, b)R and f(r) 2 0 for all r e la, b V(a) If f is integrable, show that f(z)dr 2 0. (b)…

A: 5. Given that f : a,b→ℝ and fx≥0 ∀x∈a,b   To show: (a)  ∫abfxdx≥0.                (b)  fx=0 ∀x∈a,b.…

Q: How many subcommittees of 5 people can be formed from a committee consisting of 8 people?

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Q: 4. Let R be endowed with its standard topology. Let A be a topological subspace of R. a) Is {3} open…

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Q: Let p be a proposition and P be a propositional function. Identify all of the following statements…

A: Given : p is a proposition and P is a propositional function We have to identify the statements as…

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A: To find the maximum of Volume we use dV/dx=0

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Q: 4. Prove that the vectors a= (1,1,1); b-(1,-1,0) and e-(-1,-1.2) are orthogonal to each other! 5.…

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Q: Example 10.3. Using the skoetirng metihod, solee the boundary value problem : %3!

A: Here, we need to use the shooting method to solve this problem. y(1) = 1.17

Q: Q1: Below is the population of the city in lenses taken once every 10 years. Estimated population in…

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Q: R+j@L anc

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Q: 1-t+2 sin t -1-t+2 cost is a solution of the system y' 0 1 -1 0 Verify that y = with y(0) = | | |:…

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Q: Give an example of a tiling of the plane that has Regis symmetries but no symmetries of scale.

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Q: y"(t) – 6y'(t) – 2y(t) = 4 cos 2t – 4t³; y(0) = -2,y'(0) = 3

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Q: pasitian ofa weight atet achod to aspring ir slt 3= -3C054TE incher arter t sec. Complete paris…

A: Given- The position of a weight attached to a spring is st = -3cos4πt inches after t sec.  To find-…

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Q: Find the volume of the solid enclosed by the paraboloid z = 5 + x2 + (y - 2)2 and the planes z = 1,…

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Q: O Calculate the integral y dydx

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

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Q: I Example 11.17. Find the solution of the initial boundary value problem : 'u u 0 sx S1: subject to…

A: Here we need to solve initial boundary value problem.

Q: Given p > 2 a prime number, prove that: (p+1 |("") = 0(modp 5.1) for any natural number 2 snsp-1 ) =…

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Q: An isolated farm house is located on the bank of a straight canal that is 200 m wide. Electric power…

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Q: -2 when -π<x<0 f(x) = (2 when 0<x<π %3D

A: This is a problem of Fourier series.

Q: a) f(x) = - 3(2") %3D b) g(x) (2') 4

A: Given: a)f(x)=-32x b) g(x)=142x To sketch: The graph of given functions and state the transformation…