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How does the half-life of a drug affect the build up of medication in the body over time?

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Investigate the effects of the half-lifes of the isotopes of cobalt on the mass of a mystery lump of the element.

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Investigate the mathematics behind blood buffers and derive the form of a titration curve.

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In this question we push the pH formula to its theoretical limits.

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Why is the modern piano tuned using an equal tempered scale and what has this got to do with logarithms?

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This problem explores the biology behind Rudolph's glowing red nose.

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Solve the equation sin z = 2 for complex z. You only need the formula you are given for sin z in terms of the exponential function, and to solve a quadratic equation and use the logarithmic function.

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The equation a^x + b^x = 1 can be solved algebraically in special cases but in general it can only be solved by numerical methods.

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Looking at small values of functions. Motivating the existence of the Taylor expansion.

This article introduces complex numbers, brings together into one bigger 'picture' some closely related elementary ideas like vectors and the exponential and trigonometric functions and. . . .

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Compares the size of functions f(n) for large values of n.

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Explore the properties of these two fascinating functions using trigonometry as a guide.

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A function pyramid is a structure where each entry in the pyramid is determined by the two entries below it. Can you figure out how the pyramid is generated?

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Find all the turning points of y=x^{1/x} for x>0 and decide whether each is a maximum or minimum. Give a sketch of the graph.

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What is the total area of the triangles remaining in the nth stage of constructing a Sierpinski Triangle? Work out the dimension of this fractal.

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Can you locate these values on this interactive logarithmic scale?

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Is it true that a large integer m can be taken such that: 1 + 1/2 + 1/3 + ... +1/m > 100 ?

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Explore the hyperbolic functions sinh and cosh using what you know about the exponential function.

In this article we are going to look at infinite continued fractions - continued fractions that do not terminate.

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Which is the biggest and which the smallest of $2000^{2002}, 2001^{2001} \text{and } 2002^{2000}$?

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If a sum invested gains 10% each year how long before it has doubled its value?