Business Calculus

Q1

Use the given equation, which expresses price p as a function of demand x, to find a function f(p) that expresses demand x as a function of price p. Give the domain of f(p). p=68 - 0.5x , Osxs ,136 x = f(p) =]Use the given equation, which expresses price p as a function of demand x, to find a function f(p) that expresses demand x as a function of price p. Give the domain of f(p). P=20 e - X/ 18 , 0Ex= 18 x = f(p) =]Find me relative rate of change of fix} = 14 + 3 In x. E) The relative rate of change of x] is D. Find the relative rate of change of x} at the indicated value of x. x}=39l]5x; x: 19 E) The relative rate of change of x] at x = 19 is E. [Type an integer er decimal rounded to three decimal places as needed} \fFind the relative rate of change of x} at the indicated value at x. 2 x}=4x lnx;x=3 r:) The relative rate of change at x] at x = 3 is E. [Type an integer er decimal rounded to three decimal places as needed} Find the percentage rate of change of x} at the indicated value of x. x}=189+43x; x: B E) The percentage rate 01' change of x] at x: B is Ditty. [Type an integer er decimal rounded to the nearest tenth as needed.) Find the percentage rate of change of f(x) at the indicated value of x. f(x) = 7800 - 2x ; x = 55 The percentage rate of change of f(x) at x = 55 is %. (Type an integer or decimal rounded to the nearest tenth as needed.)Use the graph of the function f shown to estimate the indicated limits and the function value. Complete parts (A) through (D). Af(xx) V 5 (A) Find the limit lim f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. x-+0* O A. lim f(x) = (Type an integer.) *++0* O B. The limit does not exist.Use the price-demand equation below to find E(p), the elasticity of demand. x = f(p) =6500 - 5p 2 E(p) =