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Show that cosh(x+y) = cosh(x)cosh(y) + sinh(x)sinh(y)

RHS: cosh(x)cosh(y) + sinh(x)sinh(y) = 1/4(e^x + e^-x)(e^y + e^-y) + 1/4(e^x - e^-x)(e^y - e^-y) = 1/4(e^x.e^y + e^x.e^-y + e^-x.e^y + e^-x.e^-y + e^x.e^y - e^x.e^-y - e^-x.e^y + e^-x.e^-y) = 1/4(2e^x.e^y...

AH
Answered by Alex H. Maths tutor
6327 Views

A curve has equation y = (12x^1/2)-x^3/2

y = 12x1/2 - x3/2
First take the 1/2 power and multiply by the integer in front of the x (so 12 x 1/2 = 6), then minus 1 from the power (1/2 - 1 = -1/2) and replace the power ab...

AB
Answered by Amay B. Maths tutor
5639 Views

A curve has polar equation r = 1 + cos THETA for 0 <= THETA <= 2Pi. Find the area of the region enclosed by the curve

Whiteboard answer

RC
2711 Views

Describe why phenol reacts more readily with bromine than benzene does.

(labelled diagrams of both benzene and phenol would be used to show the overlapping p orbitals above and below the plane of the molecule, with phenol showing the partial delocalisation of the oxygen lone ...

AJ
Answered by Abigail J. Chemistry tutor
8702 Views

Find the stationary point of the function f(x) = x^2 +2x + 5

We can find stationary points of functions by using differentiation, we start this by assessing each term individually, we start with the first term x2, we first start by taking the power term ...

HO
Answered by Henry O. Maths tutor
5694 Views

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