14. If the cylinder of largest possible volume is inscribed in a given sphere, determine the ratio...

14. If the cylinder of largest possible volume is inscribed in a given sphere, determine the ratio of the volume of the sphere to that of the cylinder.

15. Determine the first quadrant point on the curve y²x = 18 which is closest to the point (2, 0).

16. Two cars are traveling along perpendicular roads, car A at 40 mph, car B at 60 mph. At noon when car A reaches the intersection, car B is 90 miles away, and moving toward it. At 1PM, what is the rate, in miles per hour, at which the distance between the cars is changing?

Expert Solution

milcah answered 2 years ago

(i) Find the cylinder inscribed in a sphere with radius one with the largest surface area.

find the dimensions and volume of the right circular cylinder of maximum volume inscribed in a...

find the dimensions and volume of the right circular cylinder of maximum volume inscribed in a sphere with radius 50cm

The volume of a right circular cylinder with base radius ? and height ℎ is given...

The volume of a right circular cylinder with base radius ? and height ℎ is given by: ? = ??^2ℎ. If the base radius is decreasing at a rate of 3 inches per minute and the height is increasing at a rate of 2 inches per minute, at what rate is the volume of the cylinder changing when the radius is 8 inches and the height is 3 inches. Will the volume be increasing or decreasing at this instant? Be...

Given the atomic radius of xenon, 1.3 Å, and knowing that a sphere has a volume...

Given the atomic radius of xenon, 1.3 Å, and knowing that a sphere has a volume of 4πr3/3, calculate the fraction of space that Xe atoms occupy in a sample of xenon at STP.

The volume of a sphere is given by V = 4πr3/3, where r is the radius. Use MATLAB

The volume of a sphere is given by V = 4πr3/3, where r is the radius. Use MATLAB to compute the radius of a sphere having a volume 40 percent greater than that of a sphere of radius 4 ft.

A sphere of radius R1 has a volume charge density given by row = Mr where...

A sphere of radius R1 has a volume charge density given by row = Mr where r is the radial distance from the center of the sphere. The sphere is surrounded by an uncharged metal shell out to radius R2. 1) Determine an expression in terms of the constants given for the total charge Q in the sphere of charge density 2) Determine an expression for the electric field in the three regions r < R1, R1 < r <...

1. A) Determine the ratio of waste to cover material (volume basis) as a function of...

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The volume of an ideal gas is held constant. Determine the ratio P2/P1 of the final...

The volume of an ideal gas is held constant. Determine the ratio P2/P1 of the final pressure to the initial pressure when the temperature of the gas rises (a) from 51 to 102 K and (b) from 23.7 to 64.4 oC. (a) P2/P1 = Number Units (b) P2/P1 = Number Units

how is it theoretically possible to determine the diastereomeric ratio of isomers using gas chromatography ?

14. Use Descartes’ Rule to determine the possible number of positive, negative, and non-real solutions. Make...

14. Use Descartes’ Rule to determine the possible number of positive, negative, and non-real solutions. Make a table of possible real/complex solutions. (10 points) ?(?)=?^?−??^?−??^?+??−?

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