A sample of a reinsurer's payments made under a proportional reinsurance arrangement consists of the following...

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The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...
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As an extension of the previous model, the so-called Lobtka-Volterra model describes the evolution of two populations: one defined as preys (denoted as x) and the other as predators (denoted as y)....
A fluid flows through a circular pipe of radius, \(r_{o}\). The flow is fully developed. The pipe is oriented vertically with respect to gravity (z-direction) and also has a constant pressure...
If the ellipse: \[a\left(x^{2}-y^{2} ight)+2 b x y-\frac{1}{2} \omega_{o}\left(x^{2}+y^{2} ight)+c=0\] is full of liquid and is rotated about the origin with an angular velocity, \(\omega_{o}\), the...
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The length of a straight solenoid is \(50 \mathrm{~cm}\). If a current of 12 A flows through the solenoid produces a magnetic field of magnitude \(0.06 \mathrm{~T}\) inside it, calculate the number...
The universal gas constant \(R_{0}\) is equal to \(49,700 \mathrm{ft}^{2} /\left(\mathrm{s}^{2} \cdot{ }^{\circ} \mathrm{R} ight)\), or \(8310 \mathrm{~m}^{2} /\left(\mathrm{s}^{2} \cdot \mathrm{K}...