Answer for these three multiple choice questions Pregunta 5fis a continuous function on (-0, +o) such that f'(4) =1 and f"(4) < 0, then x = 4 isaa critical value, and a local minimumba critical value, and a local maximuma critical value but neitherd.not a critical valuePregunta 6When demand is inelastic, a price decrease will decrease revenue.OTrueO FalsePregunta 7If x = 2 is a critical value of the function f(x), and is given that f"(x) = 6(x - 4), then x = 2 isalocal minimumblocal maximumneitherO O OООО О

At critical point derivative either zero or does not exist

Pregunta 5 fis a continuous function on (-0, +0) such that f'(4) =1 and f"(4) < 0, then x = 4 is a a critical value, and a local minimum b a critical value, and a local maximum Oc a critical value but neither O d not a critical value Pregunta 6 When demand is inelastic, a price decrease will decrease revenue. O True O False Pregunta 7 If x = 2 is a critical value of the function f(x), and is given that f"(x) = 6(x - 4), then x = 2 is O a local minimum O b local maximum O c neither

Pregunta 5 fis a continuous function on (-0, +0) such that f'(4) =1 and f"(4) < 0, then x = 4 is a a critical value, and a local minimum b a critical value, and a local maximum Oc a critical value but neither O d not a critical value Pregunta 6 When demand is inelastic, a price decrease will decrease revenue. O True O False Pregunta 7 If x = 2 is a critical value of the function f(x), and is given that f"(x) = 6(x - 4), then x = 2 is O a local minimum O b local maximum O c neither

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

See similar textbooks

Similar questions

Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it continues on its course indefinitely. Let D(t) denote its distance from Earth after t years of travel. Do you expect that D has a limiting value?
consider a continuous function y = f(x) whose first derivative is y = x(x – 2). The function f has a local/relative minimum value when x = choices: a. 2 b. 1 c. 0 d. -2
Find the critical point of the function f(x, y) =-(8x+2y2 +ln(|x+y|)).c = Use the Second Derivative Test to determine whether it is• A. a local maximum• B. a saddle point• C. a local minimum• D. test fails
If z = f (x, y) is a function that admits second continuous partial derivatives suchthat image1 A critical point of f that generates a maximum point is: image2
Find the critical point of the function f(x,y)=6x−2y^2−ln(|x+y|). c=Use the Second Derivative Test to determine whether it isA. a saddle pointB. a local maximumC. test failsD. a local minimum
The origin is a critical point for the function f(x, y) = 15 − x^2y^2 and ∆(x, y) = 0 there, i.e.,the Second Derivative Test fails. Use what you know about shapes of functions to decide ifthere is a local minimum, local maximum, or saddle point for this function at (0, 0).
A manufacturing company owns a major piece of equip -ment that depreciates at the (continuous) rate f= f(t) ,where is the time measured in months since its last overhaul.Because a fixed cost is incurred each time themachine is overhauled, the company wants to determine theoptimal time T (in months) between overhauls.(a) Explain why ∫0t f(s) ds represents the loss in value ofthe machine over the period of time t since the lastoverhaul. (b) Let C =C(t) be given by C(t) =1/t[A + ∫0t f(s) ds]What does C represent and why would the companywant to minimize C ?(c) Show that has a minimum value at the numbers t =Twhere C(T) =f(T).
A function f continuous on (a, b) always has a relative maximum and a relative minimum on [a, b] Select one: O a. True O b. False
Consider a differentiable function f with domain R and derivativesf'(x)=-aebx(1+bx) and f"(x)=-abebx(2+bx) , with a and b nonzero real numbers.The function has only one critical point x=-1/b and a local maximum at x=-1/bUse the Second Derivative test to find the value(s) of a and b
2.true or false Every differentiable function y=f(x) defined on an open interval (a,b) has an absolute maximum and minimum.
A function that is continuous on theinterval __________ is guaranteed to have both an absolutemaximum and an absolute minimum.(a) (a, b) (b) (a, b] (c) [a, b) (d) [a, b]
If z = f (x, y) is a function that admits second continuous partial derivatives suchthat image 1 A critical point of f that generates a maximum point is: image 2