second denivafive method to conclude 1x-21 local minimum at

Q: A relative maximum occurs at the point(s)

A: Given: Graph of the function :

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Q: Test the function for local maximum, local minimum and saddle points. f(x, y) = xy(6-x- y).

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Q: Where does a local minimum occur?

A: given,      Local minimum .

Q: Find the absolute extrema of the function on the closed interval. 4x Rx) =2+25 [-6, 6] %3D minimum…

A: f(x)=4xx2+25

Q: 15. J(x) — хеЗх

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Q: Find the absolute extrema of the function on the closed interval. y = = 3x2/3 - 2x, [-1, 1] (x, y) =…

A: Solution:-

Q: A rectangular field of fixed area is to be enclosed and divided into five lots by parallel to one of…

A: To find the dimensions to obtain minimum fencing

Q: (c) cut from each corner of length x cm, a maximum volume for the resulting open-top cake tin will…

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Q: What are the local minimums, local maximums, global minimums, and global maximums?

A: Local maximum are the points where derivative be zero and left side increases and right side…

Q: し」 Second derivatve test To find the local maximum and mihimum of =(x)}

A: Solve using application of second derivative test

Q: 3. Find all critical point s and identiFy them as local maximum points , local minimum points, or…

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Q: Let g(x, y) = 3x²y + y³ - 27y

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Q: A rectangular storage Area is to be constructed along astde of building. A security fence is…

A: Given: Total length of the fencing is 700 ft. Now it is given that it should be covered from 3…

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A: Let r and h, in cm, be the radius of base and height of cylinder. Volume of cylinder is

Q: Find the minimum distance from the point to the plane x - y + z = 9. (Hint: To simplify the…

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Q: Find the minimum distance from the parabola y=x^2 to point (0, 3)

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Q: piece of wire 10 m long is cut into two pieces. One piece is bent into a square and the other is…

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Q: 2. A rectangular field of fixed area is to be enclosed and divided into five lots by parallel to one…

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Q: 4. The volume of an open box with square base is 256 cu. in. Find the dimension if the material used…

A: Lets assume  length of base = x in width = x in ( as it is square base ) height of box = y

Q: on the closed triangular region with vertices (0, 0), (9, 0) and (9, 11). List the minimum/maximum…

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Q: Find the simple closed curve of a given parameter which encloses a maximum area

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Q: Determine the global extreme values of the function on the given domain. f(x, y) = 7x2 + 5y2, osxs…

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Q: bola has a minimum at (-

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Q: A closed rectangular box has volume 20 cm³. What are the lengths of the edges giving the minimum…

A: Solution is given below:

Q: Two factories are located at the coordinates (-x, 0) and (x, 0), and their power supply is at (0,…

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Q: 1) Explain the differences between an absolute minimum and a local minimum.

A: An absolute minimum occurs at the x value where the function is the smallest, while a local minimum…

Q: A farmer wants to enclose a rectangular field with area 1,000 square meters by fencing it into four…

A:

Q: 2. What are the local maximum and minimum values? (x, y) Local Maximum: Local Minimum:

A: NOTE: Refresh your page if you can't see any equations. .

Q: Determine the minimum point of fx) =x,²+x,x, +x,² – 3x, – 3x, by using conjugate gradient method,…

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Q: the Second Derivative Test to dete a local minimum a local maximum test fails

A: The function given is fx,y=-25x+5y2+lnx+y. To determine the critical point for x+y>0.…

Q: A cylindrical can without a lid is to be constructed to contain 800 ml of liquid. Determine the…

A: To find the dimensions that minimize the amount of metal needed to make the can.

Q: 7. Show that a closed rectangular box of maximum volume having a prescribed surface area S is a…

A: Let the volume function be V=lbh and the surface area is 2lb+bh+lh=S. Take the constraint to be gl,…

Q: at 2 Find absOIute maximum & minimum value fu)=x²-1 on [lile)

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Q: Two factories are located at the coordinates (−x, 0) and (x, 0), and their power supply is at (0,…

A: To Determine: Find y such that the total length of power line from the power supply to the factories…

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Q: A piece of wire 10 m long is cut into two pieces. One pieceis bent into a square and the other is…

A: To find: The way to use the wire such that the area enclosed by the triangle and square would be…

Q: Abox of volume 60m3 with a squan botHom and no top IS constructd out of 2 diffennt materi als. The…

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Q: 1. A rectangular field of fixed area is to be enclosed and divided into three lots by parallels to…

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Q: Find the minimum and maximum values of the function y = 2013 + 30t² on [1,2] by comparing values at…

A: Consider the given function, y=20t3+30t2 on the interval 1,2 To find the minimum and maximum values…

Q: Find the absolute minimum and absolute maximum of Remaining time: f(x, y) = 18 – 8x+9y on the closed…

A: Given f(x,y)=18-8x+9y ∴fx=-8, fy=9 (-8,9) is a critical point Given Region is triangle with vertices…

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