- 9.1.1: Match the graphs in Figure 9.3 with the following descriptions. (a)...
- 9.1.2: The graphs in Figure 9.4 represent the temperature, H(C), of four e...
- 9.1.3: A population of insects grows at a rate proportional to the size of...
- 9.1.4: Money in a bank account earns interest at a continuous annual rate ...
- 9.1.5: Radioactive substances decay at a rate proportional to the quantity...
- 9.1.6: A bank account that initially contains $25,000 earns interest at a ...
- 9.1.7: A pollutant spilled on the ground decays at a rate of 8% a day. In ...
- 9.1.8: Morphine is administered to a patient intravenously at a rate of 2....
- 9.1.9: Alcohol is metabolized and excreted from the body at a rate of abou...
- 9.1.10: Toxins in pesticides can get into the food chain and accumulate in ...
- 9.1.11: A cup of coffee contains about 100 mg of caffeine. Caffeine is meta...
- 9.1.12: A person depositsmoney into an account at a continuous rate of $600...
- 9.1.13: A quantity W satisfies the differential equation dW dt = 5W 20. (a)...
- 9.1.14: A quantity y satisfies the differential equation dy dt = 0.5y. Unde...
- 9.1.15: An early model of the growth of the Wikipedia assumed that every da...
- 9.1.16: A countrys infrastructure is its transportation and communication s...
Solutions for Chapter 9.1: MATHEMATICAL MODELING: SETTING UP A DIFFERENTIAL EQUATION
Full solutions for Applied Calculus | 5th Edition
Solutions for Chapter 9.1: MATHEMATICAL MODELING: SETTING UP A DIFFERENTIAL EQUATIONGet Full Solutions
A combination of variables and constants involving addition, subtraction, multiplication, division, powers, and roots
See Inverse secant function.
An arrangement of elements of a set, in which order is not important
A fractional expression in which the numerator or denominator may contain fractions
The principle of experimental design that makes it possible to rule out other factors when making inferences about a particular explanatory variable
Exponential growth function
Growth modeled by ƒ(x) = a ? b a > 0, b > 1 .
y = b.
The final digit of a number in a stemplot.
Logarithmic function with base b
The inverse of the exponential function y = bx, denoted by y = logb x
Logarithmic re-expression of data
Transformation of a data set involving the natural logarithm: exponential regression, natural logarithmic regression, power regression
Magnitude of a vector
The magnitude of <a, b> is 2a2 + b2. The magnitude of <a, b, c> is 2a2 + b2 + c2
An annuity in which deposits are made at the same time interest is posted.
The graph of a quadratic function, or the set of points in a plane that are equidistant from a fixed point (the focus) and a fixed line (the directrix).
A procedure for fitting a curve y = a . x b to a set of data.
The portion of the domain applicable to the situation being modeled.
Removable discontinuity at x = a
lim x:a- ƒ(x) = limx:a+ ƒ(x) but either the common limit is not equal ƒ(a) to ƒ(a) or is not defined
The function y = sin x.
The series a nk=1ak, where n is a natural number ( or ?) is in summation notation and is read "the sum of ak from k = 1 to n(or infinity).” k is the index of summation, and ak is the kth term of the series
Vertical line test
A test for determining whether a graph is a function.
The function that associates points on the unit circle with points on the real number line