Question
Hint:
For the given function we have to find the value of x when f(x) will be greater than or equals to 0. The given function has three cases we will put the value of x from each case and then determine when would f(x) will be 0 or positive.
The correct answer is: ![left parenthesis negative 1 comma 3 right square bracket](data:image/png;base64,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)
For,
, we have to find x when f(x) will be greater than or equals to 0.
As per the given function,
f(x) will be negative when![negative 3 less than x less or equal than negative 1](data:image/png;base64,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)
f(x) will be positive or 0 when
(as f(x)=
)
f(x) will be positive when
(as f(x)=
)
So, for ![f left parenthesis x right parenthesis greater or equal than 0 comma space x equals](data:image/png;base64,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)
![left parenthesis negative 1 comma 3 right square bracket](data:image/png;base64,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)
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Let ![g left parenthesis x right parenthesis equals 1 plus x minus left square bracket x right square bracket text and end text f left parenthesis x right parenthesis equals open curly brackets table attributes columnalign left left columnspacing 1em end attributes row cell negative 1 comma text if end text x less than 0 end cell row cell 0 text if end text x equals 0 text then end text fraction numerator f left parenthesis g left parenthesis 2009 right parenthesis right parenthesis over denominator g left parenthesis f left parenthesis 2009 right parenthesis right parenthesis end fraction equals end cell row cell 1 comma text if end text x greater than 0 end cell end table close](data:image/png;base64,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)
Let ![g left parenthesis x right parenthesis equals 1 plus x minus left square bracket x right square bracket text and end text f left parenthesis x right parenthesis equals open curly brackets table attributes columnalign left left columnspacing 1em end attributes row cell negative 1 comma text if end text x less than 0 end cell row cell 0 text if end text x equals 0 text then end text fraction numerator f left parenthesis g left parenthesis 2009 right parenthesis right parenthesis over denominator g left parenthesis f left parenthesis 2009 right parenthesis right parenthesis end fraction equals end cell row cell 1 comma text if end text x greater than 0 end cell end table close](data:image/png;base64,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)
A thin liquid film formed between a u-shaped wire and a light slider supports a weight of
(see figure). The length of the slider is 30 cm and its weight negligible. The surface tension of the liquid film is.
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)
Surface tension is the phenomenon of a liquid's surface when it comes into contact with another phase. The least amount of surface area is typically acquired by liquids. As a result, the liquid's surface exhibits an elastic sheet-like behavior.
¶The forces of attraction between the particles of liquid and the forces of attraction of solids, liquids, or gases in contact with it affect surface tension. The energy or work requires to remove the molecules of the surface layer in a unit area is roughly equivalent to the energy responsible for the phenomenon of surface tension.
A thin liquid film formed between a u-shaped wire and a light slider supports a weight of
(see figure). The length of the slider is 30 cm and its weight negligible. The surface tension of the liquid film is.
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)
Surface tension is the phenomenon of a liquid's surface when it comes into contact with another phase. The least amount of surface area is typically acquired by liquids. As a result, the liquid's surface exhibits an elastic sheet-like behavior.
¶The forces of attraction between the particles of liquid and the forces of attraction of solids, liquids, or gases in contact with it affect surface tension. The energy or work requires to remove the molecules of the surface layer in a unit area is roughly equivalent to the energy responsible for the phenomenon of surface tension.