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Show that cosh^2(x)-sinh^2(x)=1

In exponential form, sinh^2(x)=1/4(e^2x+e^-2x-2), cosh^2(x)=1/4(e^2x+e^-2x+2). Therefore cosh^2(x)-sinh^2(x)=1/4(2-(-2))=4/4=1, as required.
TD
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Differentiate x^2 + xy + y^2 =1 implicitly.

Each part can be done separately, so x^2 becomes 2x, xy becomes dy/dx + y by product rule, y^2 becomes 2y(dy/dx) by chain rule, and 1 becomes 0. Hence the answer is 2x + y + (2y+1)dy/dx = 0, but the answer i...
TD
Answered by Tutor80806 D. • Maths tutor
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What is the Electoral College?

The Electoral College (EC) is a constitutional mechanism, better described as a process. It is used to elect the President and Vice-President. The EC was introduced as a compromise between a popular voter by...
SS
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Which conditions led to the collapse of the German war effort in the First World War ?(as is part of the Causes, Practices and Effects of War part of the HL Course)

Outline the four major reasons for the collapse of the German war effort, in a good essay each of these should take up about a paragraph each, with each paragraph following the PEA form (Point, Evidence, Ana...
JW
Answered by Joseph W. • History tutor
2236 Views

Qu'est-ce-que tu fais pour protéger l'environnement chez toi?

En générale, j'essaie d'éteindre les lumieres quand je quitte ma chambre, parce-que cela aiderait á sauver d'énergie et donc c'est mieux pour le monde. Aussi je sensibilize les gens de ma ville aux problemes...
RQ
Answered by Ramish Q. • French tutor
8110 Views