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Q: Find laplase 4-f(t)=e²¹.t³.
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- The rate of change of an autocatalytic chemical reaction is kQxkx2 where Q is the amount of the original substance, x is the amount of substance formed, and k is a constant of proportionality. Factor the expression.5. A fast food restaurant has a cost of production C (x) = 14x + 171 and a revenue function R(x) = 5x. When does the company begin to turn a profit?∫-21 (6-x-(x2+4)) dx= ∫-21 (-x2-x+2)
- Find d2y/dx2 implicitly in terms of x and y. x2 + y2 = 4You 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?P(x) = -0.25x + 550 C(x) = 0.0002x^3 - 0.2x^2 + 15x + 50,000
- . A woman saved GH¢ 30,000 in a bank A, whose rate was x % per annum and GH¢ 20,000 in another bank B whose interest rate was y % per annum. Her total interest in two years was GH¢ 6,400. If she had saved GH¢ 20,000 in bank A and GH¢ 30,000 in bank B for the same period, he would have gained GH¢ 200 as additional interest. Find the values of X and YGiven f(x) = −3x2 + 18x − 32, how can vertex, axis of symmetry, and x-int(s) be found?