Answered: Let f(x)= (200x-500) /(x+400) Find…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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1.Let f(x)= (200x-500) /(x+400) Find horizontal and vertical asymptotes, and zeros and sketch the function 2 If .f(6)=10.f’(6)=0 f”(6)= -2 describe the behavior of f(x) at x=6 3.a.The price and demand of a clock radio is related by x=4000-50p.(x=# sold, p=price) Find the revenue as a function of x and find the x to maximize it.Hint:first solve for p. b) if fixed cost is 3000 and variable cost is 30x Find total cost. Use this to find total profit and maximize it. 4. If revenue R(x)=-0.02x2+3x+3, maximize R(x) and AR(x) if AR(x) is average revenue 5.Calculate d/dx(ln(sqrt(x2 +3x-2)) using the properties of logarithms to simplify 6.Calculate d/dx( exp( x2-3x+2) 7.if x2 +xy- y2 =4x find dy/dx and dx/dy (see the notes for the last part) 8.If V=k r3, and V=4 when r=2 if dr/dt =2, find dV/dt 9.a.Ifp=price and q=quantity, let q=20-3p find the elasticity nu for p=5. Find that p where elasticity=1? b. Maximize revenue

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