A woman at a point A on the shore of a circular lake with radius 2 miles wants to arrive at the point C diametrically opposite A on the other side of the lake in the shortest possible time (see the figure). She can walk at the rate of 4 mi/h and row a boat at 2 mi/h. For what value of the angle e shown in the figure will she minimize her travel ti В 2

Q: 4. A gutter having a triangular cross-section is to be made by bending a strip of tin in the middle.…

A:

Q: Consider a wire of length 7 ft. The wire is to be cut into two pieces of length z and 7 - 1. Suppose…

A: We have wire of length 7 ft. The wire is to cut into two pieces of length x and 7-x.Here the length…

Q: A woman at a point A on the shore of a circular lake with radius R kilometer wants to arrive at the…

A: Total distance travel by the women if she row from A to C and walks from C to B. Total distance…

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: As the side length of a cell increases, the surface area to volume ratio decreases. This has…

A: surface area = 6side length2 volume = side3

Q: a. A water tank has the shape of an upright cylinder with radius r = 1 meter and height 10 meters.…

A: Work needed = 37500 N m

Q: 2. A gutter having a triangular cross-section is to be made by bending a strip of tin in the middle.…

A:

Q: A cylindrical container that has a capacity of 18 m is to be produced. The top and bottom of the…

A:

Q: A company wants to manufacture cylindrical aluminum cans with a volume of 1000 cubic centimeters.…

A:

Q: A storage box with a square base must have a volume of 70 cubic centimeters. The top and bottom cost…

A: Given volume =70cm3 The storage box has square base. let x be the side of the square and y be the…

Q: A closed rectangular box to contain 16 ft³ is to be made o three kinds of materials. The cost of the…

A: This is the problem of multivariable calculus.

Q: How do you answer the question in the attached image?

A: given: A storage box with a square base must have a volume of 80 cubic centimeters. The top and…

Q: A cylinder has a height 15 cm with a possible error of 0.01 cm. Find the maximum possible value of…

A: To Determine: A cylinder has a height 15 cm with a possible error of 0.01 cm. Find the maximum…

Q: A grain silo consists of a cylindrical concrete tower surmounted by a metal hemispherical dome. The…

A:

Q: A wire 57 inches long is cut into two pieces, with the first piece bent into a square and the second…

A: A wire 57 inches long is cut into two pieces, with the first piece bent into a square andthe second…

Q: 4. A pathway running tangentially to a perfectly circular lagoon is to have a branching at a point…

A: A figure is drawn first mentioning all the parameters given in question.

Q: man is filling up an inverted pyramidal tank with water at a constant rate. The tank has the…

A: Let the length of poster ABCD =x cmBreadth of poster =y cmTop margin=2.5cmBottom margin=1.5cmBoth…

Q: man at point A on the shore of a circular lake of radius 1 km wants to reach point B on the shore…

A:

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

A:

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

A:

Q: A grain silo consists of a cylindrical concrete tower surmounted by a metal hemispherical dome. The…

A:

Q: Car B is b=100 miles directly east of car A and begins moving north at u=50 miles per hour. At the…

A:

Q: If a right triangle has legs 6 and 8, its hypotenuse is 10. The triangle will be inscribed within a…

A:

Q: A company wants to manufacture an open cylindrical bucket of volume 15 litres (15000 cm^3). The…

A:

Q: Express h in terms of r. b) Express the surface area of the can in terms of r. c) Approximate the…

A:

Q: A cylindrical can, open at the top, is to hold 500 cm of liquid. Find the height, h, and the radius,…

A:

Q: 4. A pathway running tangentially to a perfectly circular lagoon is to have a branching at a point…

A:

Q: A company applies a clear glaze finish on the outside of the ceramic bowls it produces. The bowl…

A:

Q: When a ship is sailing, the total cost per hour includes a fixed part p and the fuel cost q that is…

A:

Q: 14. A system of storm sewers in a coastal city is designed to capture water runoff during heavy…

A:

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

A:

Q: A window on a new house is designed as a rectangle with a semicircle on the top. If the window is…

A:

Q: A box with an open top is to be constructed out of a rectangular piece of cardboard with dimensions…

A: Here, the volume of the box is given by: V=lbh Here, for the given box, l=9-2x, w=10-2x,h=x. So,…

Q: An oil refinery is located 1 km north of a straight river that is 2 km wide. A pipeline is to be…

A:

Q: A cylindrical container that has a capacity of 10 m is to be produced. The top and bottom of the…

A: We will solve the following.

Q: A 3-meter long iron wire is cut in two. One piece is to form a square and the other a circle. b)…

A: Let x  be the length of square.So the length of circle will be 3-x.Perimeter of…

Q: A woman at a point A on the shore of a circular lake with radius R kilometer wants to arrive at the…

A:

Q: A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. An…

A: The volume of the cylinder is =πr2h The volume of the two hemisphere =43πr3 Here r is the radius and…

Q: 4. A pathway running tangentially to a perfectly circular lagoon is to have a branching at a point…

A:

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

A:

Q: A cylindrical can is to be designed with a capacity of 1000 mL. Find the dimensions of the can,…

A: Given problem:- A cylindrical can is to be designed with a capacity of 1000 mL. Find the dimensions…

Q: 4. A pathway running tangentially to a perfectly circular lagoon is to have a branching at a point…

A: As figure is not given. so first of all a figure is drawn to understand the situation below

Q: A closed box with a square base is to be built and the volume fixed at 30 m3. Determine the minimum…

A: To determine the minimum cost of the box.

Q: A box with a square base and open top must have a volume of 5,000 cm³. Find the dimensions of the…

A: Given: Volume = 5000 cm^3 The box has bottom and the sides, it does not have top.  Let us consider…

Q: A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. An…

A: The total volume of the industrial tank is,

Q: If the velocity through rack at max design DWF is 0.58 m/s, and the velocity through rack at peak…

A: Use the given values and proper formula to solve the following question. First, determine the…

Q: The arm of a boom crane is 12 m long. Because of the location of the construction site, the angle of…

A: Topic = Trigonometry

Q: Please help. Thank you!

A: According to the given information, a pentagon is formed by adding two sides of same length to…

Q: A storage box with a square base must have a volume of 90 cubic centimeters. The top and bottom cost…

A: Given that Length of the sides of the square base = x Height = y Volume of the box = 90 cubic cm.