7Let f(x) = (3 – 3x)"-f(x) has one critical value at A =%3DFor x < A, f(x) is | Select an answer vFor x > A, f(x) i: select an answerDecreasingSubmit QuestionIncreasing

when first derivative of a function is zero then at that point is a critical point,

Answered: Let f(x) = (3 – 3)" f(x) has one…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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2. Give an example showing that, even if f0(c) = 0, it could happen that f(x) does not have a localmaximum or minimum at x = c. How is this consistent with Fermat’s Theorem in the book?
(a) False. For example, x = 0 is a critical point off (x) = x 3 but is neither a local minimum nor a local maximum.
find the value of a so that the function f(x)=xeax has a critical point at x=6
Let g(x,y)= ln x + 2 ln y-x-8y Find the critical points. Then determine if the critical points are relative min, max or saddle points.
find the value of x which gives the critical point.
A-Find the local minimum and maximum of f(x)=xe^3x using the first and second derivative test. B-Find the value of a so that the function f (x) = xeax has a critical point at x = 3.
4) Find the critical points of the function f(x, y) =exp((−x3/3)+x−y2 ) and determine their type. b) Find the global extrema of the function of part a) on the domain D={(x, y)|−2≤x≤2,−2≤y≤2}.
A system consists of two components whose lifetimes (in years) X1, X2 are inde-pendent and identically distributed with pdf f(x) = 0.5e−0.5x, x >0. (a) Show that the mean of X is 2 and use this to find E(X2−2X1). (b) ComputeP(X2= 2X1) andP(X2>2X1). (c) ComputeCov(X1, X2−2X1). You may use the fact that Var(X1) = 4.
Let f(X)=X3+3x2-6 over closed interval (-2,5) what is the largest critical point?
Find all critical points of the the functionF(x,y)=ln(x2 +y2 +2y+2) in the domain D = {(x,y) ; x2 + y2 < 16}, and decide if each is a local minimum, local maximum or saddle point.
Let f(x)=(3+4x)6f(x)=(3+4x)6f(x)f(x) has one critical value at A = For x<A, f(x) is (increasing or decreasing) For x>A, f(x) is
At noon, ship A is 45 miles south of Ship B. Ship A is sailing north at a rate of 15 miles per hour. Ship B is sailing west at a rate of 15 miles per hour. When is the distance between the two ships minimized? In the field below enter the time at which the distance between the ships is minimal.

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Let f(x) = (3 – 3)" f(x) has one critical value at A = For x < A, f(x) is | Select an answer v For x > A, f(x) i: Select an answer Decreasing