Recent content by Abu Rehan

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    Is there really any such thing as an incompressible liquid?

    Homework Statement Given- Pressure increases with depth. Homework Equations We know that pressure under a depth h is given by pgh. Where p=density of liquid, g= acceleration due to gravity. The Attempt at a Solution Let us take an example. There is an ocean of a liquid which is...
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    Is 100% rigid object theoretically possible?

    Can there be a 100% rigid object i.e., an object that cannot be compresses any bit? I believe that's not possible. The proof below- Suppose there is one such object(cubic shaped). I have applied a force on that from two opposite or all six sides. From Newton's third law the object is also...
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    Subtraction of real function from another

    We define subtraction of real functions as (f-g)(x) = f(x) - f(x). But I wonder what does (f-g) mean! I don't find any meaning in (sin - (square of))(x). If it really has any meaning then tell with examples.
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    I am new to Calculus. rate of change

    I am new to Calculus. I know that the rate of change in some thing is called it's derivative or we differentiate something to find the rate of change in it. But while differentiating or better to say proving that if f(x)= sinx then f'(x)= cosx, we take f'(x)= lim h->0 [sin(x+h)- sinx]/h. Can you...
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    Irrational number approximation by a rational number

    Write down the decimal expansion to the accurate number of digits required+1 and make the penultimate digit to round figure and then convert it to fraction by dividing it by 10 to power number of decimal digits.
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