A higher powered function, f ( x ) has a domain of [ − 18 , 17 ] . f ( − 18 ) = 12 and f ( 17 ) = 22 . There is a local...
A higher powered function, f ( x ) has a domain of [ − 18 , 17 ] . f ( − 18 ) = 12 and f ( 17 ) = 22 . There is a local maximum at the point ( 3 , 53 ) and there is a local minimum at the point ( − 6 , 7 ) . The absolute minimum on this restricted domain is at the point ( x , y ) , with x = and y = The absolute maximum on this restricted domain is at the point ( x , y ) , with x = and y =
Homework Answers
As y= -7 is the least value of y that the function can take, the absolute minimum is at x=-6, y=7.
As y= 53 is the greatest value of y that the function can take, the absolute maximum is at x=3, y=53
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A higher powered function, f ( x ) has a domain of [ − 18 , 17 ] . f ( − 18 ) = 12 and f ( 17 ) = 22 . There is a local...
The graph of a function y=f(x) is given below a) Find the domain and range b)...
The graph of a function y=f(x) is given below
a) Find the domain and range
b) Find the absolute maximum and the absolute minimum,
if they exist
c) Identity any local maximum or local minimum
values
a function y = f(x) is given below. 2 (0,2) (1.1) (5.0) 13 and range
Question 6 (1 point) Suppose a function f(x) is differentiable everywhere and has a local minimum...
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(17) Consider the function f that is given by f(x, y)-2y +e Find all its critical points and classify each one as a local maximum, local minimum, or saddle point (17) Consider the function f tha...
(17) Consider the function f that is given by f(x, y)-2y +e Find all its critical points and classify each one as a local maximum, local minimum, or saddle point
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Find the absolute maximum and minimum of the function f(x, y) -ry1 on the domain D (r, y),y 20, x2 +y2< 1) rty+1
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For the graph of a function y = f(x) shown to the right, find the absolute maximum and the absolute minimum
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Find the local maximum and minimum values and saddle point(s) of the function. If you have...
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The graph of a function y=f(x) is given below
a) Find the domain and range
b) Find the absolute maximum and the absolute minimum,
if they exist
c) Identity any local maximum or local minimum
values
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Question 6 (1 point) Suppose a function f(x) is differentiable everywhere and has a local minimum at x=c. If f(x)<O when x<c, and f'(x)>0 when x>c, then by the Global Interval Method we know x=c is O a local maximum an absolute maximum a local minimum an absolute minimum
(17) Consider the function f that is given by f(x, y)-2y +e Find all its critical points and classify each one as a local maximum, local minimum, or saddle point
(17) Consider the function f that is given by f(x, y)-2y +e Find all its critical points and classify each one as a local maximum, local minimum, or saddle point
Find the absolute maximum and minimum of the function f(x, y) -ry1 on the domain D (r, y),y 20, x2 +y2< 1) rty+1
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Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)f(x, y) = y2 − 4y cos(x), −1 ≤ x ≤ 7local maximum value(s) DNE local minimum value(s) −16 saddle point(s) (x, y, f) = (π2,0,0),(3π2,0,0)
Find the absolute maxima and minima of the function on the given domain. T(x,y)x xyy 6x 3 on the rectangular plate 0sx5, -3 sys0 The absolute maximum occurs at (0, - 3) Type an ordered pair.) The absolute maximum is f The absolute minimum occurs at (4,-2) Type an ordered pair.) The absolute minimum is f
Problem 5. Find saddle points of f(x,y)y sin(a/3). 82+88y6 a local Problem 6. At what point is the function f(x, y) minimum? Problem 7. Use Lagrange multipliers to find the maximum and the minimum of f(x, y) -yz on the sphere centered at the origin and of radius 3 in R3
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