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

Q: . A post 20 meters long stands vertically in a horizontal plane. Another post stands vertically on…

A: The given problem is solved below in detail.

Q: 1. Sand is being poured into a conical pile in such a way that the height is always one-third of the…

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Q: Chapter 6, Section 6.2, Question 019 Find the valume of the sold whose base is the region bounded…

A: The given curve is, y=x3

Q: A cylinder is inscribed in a right circular cone of height 5 and radius (at the base) equal to 2 .…

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Q: B4. Find the dimensions of the right circular cylinder of maximum lateral surface area which can be…

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Obtain the DE based on given conditions solve for item 1 only.

A:

Q: 2) By measurement, a triangle is found to have two sides of length 50 cm and 70 cm; the angle 1…

A: Follow the procedure given below.

Q: (1) Find a point P in the first quadrant on the curve f(x) = 3 such that the rectangle with sides on…

A: according to our guidelines we can answer only three subparts, or question and rest can be…

Q: 5. What is the maximum vertical distance between the line y = x + 2 and the parabola y = x² for – 1…

A: The given equations are, y = x + 2       ....(1)  y = x2            ....(2) To find the maximum…

Q: Find the minimum distance from the point (2, -1, 1) to the plane x + y - z = 2.

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Q: A cylindrical container with circular base is to hold 64 in^3. Find its dimensions so that the…

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Q: 3. A post 20 meters long stands vertically in a horizontal plane. Another post stands vertically on…

A:

Q: A cone-shaped drinking cup is made from a circular pieceof paper of radius  R by cutting out a…

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Q: 13) Find an equation of the plane that is through the point (1,1,2) and makes minimum volume in the…

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Q: The discriminant ƒxx ƒyy - ƒxy 2 is zero at the origin for each ofthe following functions, so the…

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Q: 1. Find the minimum distance from the point (0, 0, 0) to the plane x- y+z = 3.

A: perpendicular distance

Q: A cylindrical container with circular base is to hold 64 in3 . Find its dimensions so that the…

A:

Q: A right triangle is formed in the first auadrant by the x- and y- axes and a line through the point.…

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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: Determine the dimensions of the inscribed rectangle of maximum area. y = e¯*

A: Let the point on the curve for the rectangle with maximum area is (x,y) It can be written as: so…

Q: Calculate the point on the surface z =1 - x2 - y2 that has a maximum value for the sum of its…

A:

Q: A post 20 meters long stands vertically in a horizontal plane. Another post stands vertically on the…

A: Given: A post 20 meters long stands vertically in a horizontal plane. Another post 45 meters high…

Q: Find the minimum distance from point (2, 5, -1) and plane 3x + 4y + z = 10.

A: Given query is to find the minimum distance.

Q: Find the minimum distance from the parabola x – y = 0 to the point (0, 3). Minimum distance = %3!

A: At P(x,y), the point of shortest distance the slope of the line from P to (0,3) must be…

Q: Find the minimum distance from the point (−2, −2, 0) to the surface                     z = √(1 − 2x…

A: We have to find the minimum distance from the point (-2,-2,0) to thesurface z=1-2x-2y

Q: A uniform cubical box of edge a is placed on the top of a fixed sphere, the centre of the face of…

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Q: Find the fourth iteration value of an extremum (maximum/minimum) value of the image if a = 4, b =…

A: For the given values of a, b and c, we get, f(x)=4cos1.5x+2x-3

Q: 3. A well is located at distances of 8 feet and 4 feet from two roads that meet at right angles.…

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Q: Find the appropriate parametrization for the given piecewise smooth-curvein R^2, with the implied…

A: Here, a semi-circle is of radius 3.

Q: 44. Find a parametrization of the right branch (x > 0) of the hyperbola 1 - using cosh t and sinh t.…

A: The equation of hyperbola is xa2-yb2=1   The right branch (x>0) of the hyperbola can be…

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

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Q: 3 Find the Minimum distance from the origin to the plane X+2y-z=5

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Q: Find the absolute maximum and absolute minimum of Viou () y = 6x – 20 arctan on the interval [0, 4],…

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Q: 1_2 Can you please help me with this example in a step by step guide. Thank you very much!!

A: To calculate the coordinates (x,y,z) and also define the absolute extremum for the provided surface…

Q: A box is to be made where the material for the sides and the lid cost $0.20 per square foot and the…

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Q: 1. A hemispherical bowl of radius 10 m is filled with water. There is a small hole of radius 10 cm…

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Q: A beam of length L is embedded at its left end and simply supported at its right end. Find the…

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Q: An Inscribed rectangle Is bounded by the x - axls and the semicircle y =V25-x2. What length and with…

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Q: parametrically

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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…

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: Find the minimum distance from the point (0,0,0) to the plane 9x+4y+z=5.

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Q: Calculate the point on the surface z =1 - x2 - y2 that has a maximum value for the sum of its…

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Q: Find the minimum distance from the surface x2 -y2 -z2= 1 to the origin.

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Q: 5. Find the moment of inertia of a plate covering the first-quad rant region bounded by y2- x, x-:…

A: Plot the given conditions for finding the boundary limits.

Q: 4. Four identical bricks are stacked up on top of each other. Each has a length of a and a mass of…

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Q: Determine the dimensions of the inscribed rectangle of maximum area.

A: Determine the dimensions of the inscribed rectangle of maximumarea.

Q: What is the maximum vertical distance between the line y = x + 38 and the parabola y = interval [–…

A: Given line equation is y=x+38 Given parabola equation is y=x2 From the above two equations x2-x-38=0…

Q: A picture frame has its length 8 cm longer than its width. It has an inner 1-cm boundary such that a…

A: Consider the figure below. Assume the length of the frame be l cm and width of the frame be w cm.…

Q: 1 Find the points have minimum distance From the origih to the Surface xyz =1.

A: Using the lagrangian ultiplies Let For critical points,