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In IB Calculus Option you are introduced to number of different tests. They are Divergence Test, Comparison Test (simple and limit forms), Absolute Convergence Test, Alternating Series Test, Ratio Test an...
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.
Think about the point a+bi on the complex plane. Specifically, a is how far along the x (real) axis, and b is how far up the y (imaginary) axis the point is. If you draw a line connecting the origin and t...
y''=d2y/dx2, y'=dy/dx for ease of writing
First off split the full equation into th homogeneous equation and the particular function.
The homogen...
We have that the Taylor series of a function infinitely differentiable at a x = a is given by the expansion: f(x) = f(a) + f'(a)(x - a) + f''(aASAnswered by Ashwin S. • Further Mathematics tutor10852 Views
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