Find volume of square revolved around y-axis given following points: (4,5), (4,1), (6,3), (2,3)

Q: A closed rectangular box has volume 60 cm³. What are the lengths of the edges giving the minimum…

A:

Q: Find the volume of the largest rectangular box in the first octant with three faces in the…

A: The given equation of plane is : x+2y+3z=6 x=6-2y-3z                   …(1) Volume of a rectangular…

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: Find the dimensions of the rectangle of largest perimeter that can be inscribed inthe ellipse x2/a2…

A: To find the dimensions of the rectangle of largest perimeter that can be inscribed in the…

Q: 3.) A fencing is limited to 50ft length. What is the maximum rectangular area that can be fenced in…

A:

Q: Find the minimum distance from the point to the plane x - y + z = 6. (Hint: To simplify the…

A:

Q: The base of a rectangular prism shaped aquarium without a lid is made of slate and the sides are…

A: Given Volume of the tank V=96 m3 Cost of slate (S) = 3 Cost of Glass (G) (per unit area) S=3G

Q: A paper cup is to be made in the shape of a cone, having volume 3 ounces. What should the radius and…

A: Let Volume = V  Radius = r inch. Height = h inch.  Volume of cone V=13πr2hh=9πr2    ....(1)

Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of…

A:

Q: A rectangle is bounded by the x-axis and a parabola defined by y = 4 – x. What are the dimensions of…

A: Given that, a rectangle is bounded by the x-axis and a parabola defined by y = 4 - x2. The area of…

Q: Find the volume of the largest rectangular box in the first octant with three faces in the…

A:

Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of…

A: Let h is the dimension  of the square which are being cut at each corner of the cardboard, so The…

Q: Find the dimensions of a box with largest volume whose surface area is 100 cm?. Lagrange multipliers

A:

Q: Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS. P(-2, 1, 0), Q(5, 3, 5),…

A: Given three vectors, there is a product, called scalar triple product, that gives (the absolute…

Q: If the dairy uses a rectangle container opti dimensions and the surface area be?

A: Given a dairy sells ice cream in 11.4 L cardboard container.

Q: A Norman window has the shape of a rectangle surmounted by a semicircle. Find the dimensions of a…

A: Given that the perimeter is fixed.Let us assume that the length of the rectangle part which is also…

Q: Find the volume of the largest rectangular box in the first octant with three faces in the…

A: We have to find the volume of the largest rectangular box in the first octant with three faces in…

Q: A block has a mass of 50 kg and a density of 8.91 gram per cubic cm. Find the largest area of a…

A: Mass of a block = 50 kg Density of a block =8.91g/cm3 Mentioned dimension are 10m, 12m, 12m.

Q: Find the triangle whose perimeter is constant and has the largest area using Lagranges Multiplier…

A: Perimeter of triangle = Constant  Area of triangle = maximum

Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of…

A:

Q: Construct a window whose middle is a rectangle and the top and bottom of the window are…

A:

Q: If rectangle DEFG is dilated by a scale factor of 3 with a dilation center of (0, 0), what will be…

A: now co ordinates of D are (-2,-1) After dilation scale factor 3  centre not change  multiply by 3…

Q: Find the dimensions (both radius and height) of a soup can with a volume of 432 cm³ that minimize…

A:

Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of…

A: Given: The open rectangular box of maximum volume that can be made from a sheet of carboard 21 in by…

Q: A poster is to contain 300 cm? of printed matter with margins of 10 cm at the the top and bottom and…

A: Assume some variable to be length and breadth of the poster then find its area. Derivative of area…

Q: Find the volume of the parallelepiped defined by the inequalities 0≤2x−3y+z≤5,1≤x+2y≤4,−3≤x−z≤6.

A:

Q: A storage tank is designed by rotating y = x² + 1; about the x- axis, y- axis, line x = 2, and…

A:

Q: A cylindrical tank has a lateral surface area of 80 π cm2 and a volume of 160 π cm3. Determine the…

A:

Q: A square-based prism has a volume of 8000 mm3 . What are the dimensions of the prism for the minimum…

A: Consider a square-based prism which has a volume of 8000 mm3.  The objective of the problem is to…

Q: A square with dimensions 12 cm, 2 cm, 9 cm and a cube have equal volumes. Calculate the edge of the…

A:

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

A: To find the length of the edges so, that surface area is minimum.

Q: Find the lateral area of a right pentagonal prism with height 13 and baseedges 3.2, 5.8, 6.9, 4.7,…

A: Given that, Height of a right pentagonal prism = 13 And base edges are 3.2, 5.8, 6.9, 4.7 and 9.4

Q: The square region with vertices (4, 0), (0, 4), (8, 4), (4, 8) is revolved around the line x = -8.…

A: Draw a diagram of the square. Determine the coordinates of the centroid of the square.…

Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of…

A: topic - application of derivatives

Q: A tube of lip balm has a height of 2.75 inches and a diameter of 0.75inches.  a. if the cap on the…

A: Part (a):Diameter of the lip balm tube, d = 0.75 inches. Thus, the radius of the tube is r = d/2 =…

Q: You have 2,400 yards of wire fence material and you wish to enclose a rectangular region to form a…

A:

Q: A fencing is limited to 120ft length. What is the maximum rectangular area that can be fenced in…

A:

Q: The volume of the parallelepiped whose adjacent edges are V = (2,3,4), ū = (1,2,–1) and w= (3,–1,2)…

A:

Q: A closed rectangular box has volume 22 cm3. What are the lengths of the edges giving the minimum…

A: Minimization problem

Q: 2 Find the volume of the parallelepiped with sides u(1, -3, -1). v3(0. 4, -2). and न् 6. 3).

A:

Q: Consider a rectangle of sides x and y with fixed perimeter of 40 units. Find the maximum and minimum…

A:

Q: Find the volume of the parallelopiped with adjacent edges PQ, PR, PS where P(-2, -1, -3), Q(0, 2,…

A: The given points P-2,-1,-3, Q0,2,0, R-3,-2,-4, S4,-3,-1

Q: The shape of the top surface of a table is a trapezium. Find its area, if its parallel sides are 1 m…

A:

Q: Find the dimensions of the circular cylinder of maximum volume that can be inscribed in a sphere of…

A:

Q: Find the minimum cost of a rectangular box of volume 100 cm³ whose top and bottom cost 6 cents per…

A:

Q: should the box have in order to minimize the surface area?

A:

Q: How do I find the epxression for the perimeter of a rectangel with a length of x2 - x + 4 and a…

A:

Q: a landscape architect is designing a rectangular flowerbed to be border with 28 plants that are…

A:

Q: The area in the first quadrant bounded by a parabola 12y = x2, the y=axis, and the line y = 3,…

A: Given:       Parabola x2=12y                      y=x212              line y=3 The parabola and line…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.