 11.6.1: Match the graphs in Figure 11.59 with the following descriptions. (...
 11.6.2: The balance is earning interest at a continuous rate of 5% per year...
 11.6.3: The balance is earning interest at a continuous rate of 3.7% per ye...
 11.6.4: The balance is losing value at a continuous rate of 8% per year, an...
 11.6.5: The balance is losing value at a continuous rate of 6.5% per year, ...
 11.6.6: A bank account that earns 10% interest compounded continuously has ...
 11.6.7: At time t = 0, a bottle of juice at 90F is stood in a mountain stre...
 11.6.8: The velocity, v, of a dust particle of mass m and acceleration a sa...
 11.6.9: A deposit is made to a bank account paying 8% interest compounded c...
 11.6.10: Dead leaves accumulate on the ground in a forest at a rate of 3 gra...
 11.6.11: A stream flowing into a lake brings with it a pollutant at a rate o...
 11.6.12: Caffeine is metabolized and excreted at a continuous rate of about ...
 11.6.13: The rate (per foot) at which light is absorbed as it passes through...
 11.6.14: In 2010, the world population was 6.9 billion. The birth rate had s...
 11.6.15: The rate at which barometric pressure decreases with altitude is pr...
 11.6.16: According to a simple physiological model, an athletic adult male n...
 11.6.17: Morphine is often used as a painrelieving drug. The halflife of mo...
 11.6.18: Water leaks out of a barrel at a rate proportional to the square ro...
 11.6.19: When a gas expands without gain or loss of heat, the rate of change...
 11.6.20: A spherical snowball melts at a rate proportional to its surface ar...
 11.6.21: Water leaks from a vertical cylindrical tank through a small hole i...
 11.6.22: As you know, when a course ends, students start to forget the mater...
 11.6.23: An item is initially sold at a price of $p per unit. Over time, mar...
 11.6.24: Let L, a constant, be the number of people who would like to see a ...
 11.6.25: A drug is administered intravenously at a constant rate of r mg/hou...
 11.6.26: When people smoke, carbon monoxide is released into the air. In a r...
 11.6.27: (Continuation of 26.) Government agencies warn that exposure to air...
 11.6.28: An aquarium pool has volume 2 106 liters. The pool initially contai...
 11.6.29: In 1692, Johann Bernoulli was teaching the Marquis de lHopital calc...
 11.6.30: An object of mass m is thrown vertically upward from the surface of...
 11.6.31: A bank account earns 5% annual interest, compounded continuously. M...
 11.6.32: (Continuation of 31.) Now suppose the money is deposited once a mon...
 11.6.33: At a time when a bank balance $B, which satisfies dB/dt = 0.08B 250...
 11.6.34: The differential equation dQ/dt = 0.15Q + 25 represents the quantit...
 11.6.35: A differential equation for the quantity of a drug in a patients bo...
 11.6.36: A differential equation for any quantity which grows in two ways si...
 11.6.37: A differential equation for any quantity which grows in two ways si...
Solutions for Chapter 11.6: APPLICATIONS AND MODELING
Full solutions for Calculus: Single Variable  6th Edition
ISBN: 9780470888643
Solutions for Chapter 11.6: APPLICATIONS AND MODELING
Get Full SolutionsCalculus: Single Variable was written by and is associated to the ISBN: 9780470888643. This textbook survival guide was created for the textbook: Calculus: Single Variable , edition: 6. Since 37 problems in chapter 11.6: APPLICATIONS AND MODELING have been answered, more than 33485 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 11.6: APPLICATIONS AND MODELING includes 37 full stepbystep solutions.

Arccosine function
See Inverse cosine function.

Binomial
A polynomial with exactly two terms

Binomial theorem
A theorem that gives an expansion formula for (a + b)n

Categorical variable
In statistics, a nonnumerical variable such as gender or hair color. Numerical variables like zip codes, in which the numbers have no quantitative significance, are also considered to be categorical.

Coordinate(s) of a point
The number associated with a point on a number line, or the ordered pair associated with a point in the Cartesian coordinate plane, or the ordered triple associated with a point in the Cartesian threedimensional space

Doubleangle identity
An identity involving a trigonometric function of 2u

Integers
The numbers . . ., 3, 2, 1, 0,1,2,...2

Local extremum
A local maximum or a local minimum

Multiplicative identity for matrices
See Identity matrix

NINT (ƒ(x), x, a, b)
A calculator approximation to ?ab ƒ(x)dx

Normal curve
The graph of ƒ(x) = ex2/2

Numerical model
A model determined by analyzing numbers or data in order to gain insight into a phenomenon, p. 64.

Obtuse triangle
A triangle in which one angle is greater than 90°.

Orthogonal vectors
Two vectors u and v with u x v = 0.

Parametrization
A set of parametric equations for a curve.

Quartic function
A degree 4 polynomial function.

Reflection through the origin
x, y and (x,y) are reflections of each other through the origin.

Sine
The function y = sin x.

Vector
An ordered pair <a, b> of real numbers in the plane, or an ordered triple <a, b, c> of real numbers in space. A vector has both magnitude and direction.

Vertex of a parabola
The point of intersection of a parabola and its line of symmetry.