Allometric growth in biology refers to relationships between sizes of parts of an organism (skull length and body length, for instance). If L;(t) and L2(t) are the sizes of two organs in an organism of age t, then L and L2 satisfy an allometric law if their specific growth rates are proportional: 1 dl1 - k dl2 L1 dt L2 dt where k is a constant. (a) Use the allometric law to write a differential equation relating L1 and L2 and solve it to express L, as a function of L2. (b) In a study of several species of unicellular algae, the proportionality constant in the allometric law relating B (cell biomass) and V (cell volume) was found to be k = 0.0792. Write B as a function of V. (Assume B corresponds to L, and V corresponds to L2.)

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Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

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In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

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Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.