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What can I say about the roots of a quadratic equation without actually calculating them?

If a quadratic equation is of the form ax 2 +bx+c, calculate D (Discriminant) whose value is b 2 -4ac. If the value of D is negative, the equation has imaginary roots. If the value of D is positive, the equa...
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Answered by Swapnil S. • Maths tutor
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Why are elements of group 0 chemically inert?

Elements of group 0 are called noble gases. These elements have stable arrangements of electrons in their outermost shell. The chemical reactivity of a group highly depends on the number of electrons in the ...
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Answered by Swapnil S. • Chemistry tutor
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What is a critical angle and when does total internal reflection take place?

When a ray of light travels from a denser medium to a rarer medium it bends away from the normal. It the angle of incidence is too large, the angle of refraction will be very large as well (It can be proved ...
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Answered by Swapnil S. • Physics tutor
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How can I integrate e^x sinx?

Such an integral looks difficult to manage; clearly it is a case of integration by parts, but neither part of the product appears to reduce easily into a nicer form. The key here is use the fact that sinx ha...
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Answered by Alex W. • Maths tutor
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Why is the "No False Lemmas" approach an inadequate repair to the JTB account of knowledge?

It has been shown that replacing the justification condition in the classical account of knowledge is neither necessary, nor sufficient, to grant a person knowledge. Consider a person driving through 'Barn F...
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Answered by Alex W. • Philosophy tutor
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