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In a charming 19th-century hotel, an old-style elevator is connected to a counterweight by a cable that passes over a rotating disk 2.9m

2.9m in diameter. The elevator is raised and lowered by turning the disk, and the cable does not slip on the rim of the disk but turns with it. At how many rpm

rpm(revolutions per minute) must the disk turn to raise the elevator at 14.7

14.7 cm/s?


In a charming 19th-century hotel, an old-style elevator is connected to a counterweight by a cable that passes over a rotating disk 1.87m

1.87m in diameter. The elevator is raised and lowered by turning the disk, and the cable does not slip on the rim of the disk but turns with it. Through how many revolutions has the disk turned when it has raised the elevator 3.36m

3.36m between floors?


In a charming 19th-century hotel, an old-style elevator is connected to a counterweight by a cable that passes over a rotating disk 1.87m

1.87m in diameter. The elevator is raised and lowered by turning the disk, and the cable does not slip on the rim of the disk but turns with it. Through how many revolutions has the disk turned when it has raised the elevator 3.36m

3.36m between floors?


In a charming 19th-century hotel, an old-style elevator is connected to a counterweight by a cable that passes over a rotating disk 2.9m

2.9m in diameter. The elevator is raised and lowered by turning the disk, and the cable does not slip on the rim of the disk but turns with it. At how many rpm

rpm(revolutions per minute) must the disk turn to raise the elevator at 14.7

14.7 cm/s?


The resistance 𝑅𝜃 of a particular resistance thermometer at a Celsius temperature 𝜃 as measured by a constant-volume gas thermometer is given by

𝑅𝜃 = 50.00 + 0.1700𝜃 + 3.00 × 10−4𝜃2.

Calculate the temperature as measured on the scale of the resistance thermometer which corresponds to a temperature of 60°𝐶 on the gas thermometer.


Sketch the graph of f(x)=|x| where x belongs to R, state it domain and range.


Write a java program to print all even numbers between 1 to 100 - using while loop

Let f: R->R be defined by f(x)=x²+2 where R is the set of real numbers





(i) find the domain and range of f





(ii) is f one-to-one or onto ?


form the partial equation by eliminating the function f from z=f(y/x)

Which “Smart” city in the world will you choose as a benchmark to emulate some of the best practices of that city into Mysuru? Provide atleast 3 reasons with brief descriptions behind your choice of choosing that particular city as a benchmark?


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