G(s) = 6s+16 s²+2s+5
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Find the Inverse Laplace Transform
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- You are selling fidget spinners for $32 each. If it costs you C(x)=9+x^4 dollars to produce x fidget spinners, is it possible to make more than $40 in profit? Is it possible to have a loss of more than $10,000,000,000?Find the general solution of (D² - 5D + 6)y = 4eˉˣThe inventor of a new game believes that the variable cost for producing the game is $0.95 per unit and the fixed cost are $4,700. The inventor sells each game for $1.99. Let c be the number of games produced
- Suppose that a wholesaler expects that his monthly revenue, in dollars, for an electronic game will be R(x) = 110x − 0.11x2, 0 ≤ x ≤ 800If P(x)= 8 + 9x − x^2 represents the profit in selling x thousand Boombotix speakers, how many speakers should be sold to maximize profit?Find the general solution of (D3-D2+D-1)y = 15sin2x using method of undetermined coefficient.
- Find the general and particular solution of the y"=3e³x if f(2)= k and f'(2)=k²What is the general solution to: y''' - 4y'' = 0RJ&M Company manufactures furniture such as sofas and tables. In theircurrent inventory, a total of 48 planks of wood are left. Each sofa needs four planks of wood to be made while each table needs two planks of wood to be made. The company earns a profit of P hundred pesos where P(x, y) = (6x^2)y for selling x units of sofas and y units of tables. With their current inventory of woods, how many sofas and tables are needed to be produced to maximize their profit?
