7. Suppose that f(x) is a function withf(1) = 4,f'(1) = -1, f"(1) = 0, f"(1) = 3.Also suppose that |f(4) (x)| < x + 3 for all x.Use this information to find T3(x), the third degree Taylor polynomial of f,centered at x = 1.

Given- Suppose that fx is a function with f1 = 4, f'1 = -1, f''1 = 0, f'''1 = 3. Also suppose that…

Answered: 7. Suppose that ƒ(x) is a function with…

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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Suppose that f(x) is a function with f(130) = 39 and f'(130) = 2. Estimate f(132). f(132)
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
Valero's 5k Fun Run was held yesterday in the downtown district. The top runner 4 runners (one of which was Kelly) finished in 21, 22, 23, and 24 minutes, respectively.. Determine the shirt color and finishing time of each of the top runners. 1. Ralph finished 1 minute after the competitor in the white shirt.2. The competitor in the black shirt finished sometime after the runner in the aqua shirt. 3. The contestant who finished in 23 minutes wore the orange shirt.4. Cesar was either the contestant who finished in 23 minutes or the contestant who finished in 24 minutes. 5. The competitor in the black shirt was either Ralph or Patrick.
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7. Suppose that ƒ(x) is a function with f(1) = 4, f'(1) = -1, f"(1) = 0, f"(1) = 3. %3| Also suppose that |f(4)(x)| < x+ 3 for all x. Use this information to find T3(x), the third degree Taylor polynomial of f, centered at x = 1.