The IVP models a mixture problem in which a brine solution is entering a vat with a salt concentration of 4 , while the solution is being drained from the vat at the same time. Assume that no reducing occurred in the equation. Find the value of X. = 32 X A(t) TU00 2#;4 (0) = 0 How much salt is initially in the vat before any solution is added or drained from system? Can not be found with information shared 12 gal min 6 gal min 10 mim gal min

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A: f(x) = x2 /(4+x)  f'(x) = [(4+x)(2x) - x2(1)] / (4+x)2  = (8x+2x2 - x2)/(4+x)2 = (8x+x2)/(4+x)2…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.