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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
7277 Views

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 answe...

TD
Answered by Tutor80806 D. Maths tutor
4751 Views

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 betwee...

SS
2977 Views

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, ...

JW
Answered by Joseph W. History tutor
1846 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 proble...

RQ
Answered by Ramish Q. French tutor
7339 Views

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