Problem of the Week: Suppose a population of rabbits is subject to seasonal predation, by bears which are only active during the summer, and as a result the rabbit population P(t) satisfies the differential equation: dP КP - 50B sin? (nt), %3D dt where B is the number of bears in the environment andk is the natural growth rate of the rabbit population. 1. Solve this equation (you may use WolframAlpha or another computer algebra system to help you do integrals). 2. Suppose that k = 1 and B = 2. How many rabbits do there have to be initially, at time t = 0, in order for the population to avoid going extinct in the long run?
Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
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.
Its a complete question which has two parts 1 and 2. Please solve both. As per the guideline you can solve 3 subparts. It has only 2 subparts. So please solve both. Thanks
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