Maximise the profit for a firm, assuming Q > 0, given that: • its demand function is P = 4,000 - 33Q and ● its total cost function is C = 2Q³ - 3Q² + 400Q + 5,000

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Q: L-¹{F(s)} = f(t), Then L-¹{F(as)} is equal to ans. f(:-) None of these f(t)

A: Inverse Laplace transform

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Q: 7.1 Lemma Let X be a linear space over C. Regarding X as a linear space over R., consider a…

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Q: y(x³ - y5)dx − x(x³ + y5)dy = 0

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Q: f(t) = e4t + sin 2t

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Q: A population grows according to an exponential growth model. The initial population is Po = 12 and…

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Q: iii) Show that the sum of the degree of all vertices in a graph is an even integer.

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Q: Solve the initial value problem using Laplace Transform Method y' + 9y = 0 y(0) = 2 2 y(t) = - ²-sin…

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Q: matrix product AB, if it is defined. 1],B= -1 undefined. 1 -8 4 40 -22 2].

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Q: 19. A = 2 2-10 03 20 0 20-1 -1 2 0 2)

A: Given system  x'=Ax where  A=220-12-1020030-1202

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Q: II. Determine the interval of convergence for the given power series: 1.x+x+x+ ax 81 2 2. (x+2)³+…

A: 1. Given power series is 23x + 29x3 + 227x5 + 281x7 + ...... = ∑n=1∞23nx2n-1 Here an = 23nx2n-1 As…

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Q: 7. What is the greatest value of the expression (ab + bc + cd + da) if a, b, c, d have values…

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Q: # of Aqua-Spa hot tubs to produce = # of Hydro-Lux hot tubs to produce X 350x₁ + 300x₂ x₁ + x₂ ≤ 200…

A: # Solving by Simplex The given LPP is Max Z= 350x1+300x2 x1+x2≤2009x1+6x2≤156612x1+16x2≤2880x1,x2≥0…

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Q: Compute the Laplace transform of integrate t to 0 te ^2t sin 2t dt

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A: P(X=1) = adding first row = .10+.05+.02 =.17 P(X=2)= adding second row =. 10+.35+.05 =.50 P(X=3) =…

Q: Consider the following function. f(x) = x6/7, a = 1, n = 3, 0.8 ≤ x ≤ 1.2 (a) Approximate f by a…

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Q: Pron a. If u = f(x, y), where r = e' cost, and y = e' sint, show that (3)³ + (3) ² - - ² [(-)* +…

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Q: In the following exercises, classify the origin as an attractor, repeller, or saddle point of the…

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Q: v) Prove that u = x³ - 3xy² is a harmonic function. Find its conjugate harmonic and corresponding…

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Q: Find the volume of the solid generated when the region enclosed by √x, y = 2-x, and y = 0 is…

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Q: 1. Let X denote the number of times a certain numerical control machine will malfunction: 1, 2, or 3…

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Q: 2. The nice little graph you see here is the graph of the polar equation r = √sin (30). Compute the…

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