 7.1: (a) A direction field for the differential equation y0.3 is shown. ...
 7.2: (a) Sketch a direction field for the differential equation . Then u...
 7.3: (a) A direction field for the differential equation is shown. Sketc...
 7.4: (a) Use Eulers method with step size 0.2 to estimate , where is the...
 7.5: Solve the differential equation.
 7.6: Solve the differential equation.
 7.7: Solve the initialvalue problem
 7.8: Solve the initialvalue problem
 7.9: Find the orthogonal trajectories of the family of curves.
 7.10: Find the orthogonal trajectories of the family of curves.
 7.11: A bacteria culture contains 200 cells initially and grows at a rate...
 7.12: Cobalt60 has a halflife of 5.24 years. (a) Find the mass that rem...
 7.13: Let be the concentration of a drug in the bloodstream. As the body ...
 7.14: A cup of hot chocolate has temperature in a room kept at . After ha...
 7.15: (a) Write the solution of the initialvalue problem and use it to f...
 7.16: (a) The population of the world was 5.28 billion in 1990 and 6.07 b...
 7.17: The von Bertalanffy growth model is used to predict the length of a...
 7.18: The BrentanoStevens Law in psychology models the way that a subjec...
 7.19: One model for the spread of an epidemic is that the rate of spread ...
 7.20: A tank contains 100 L of pure water. Brine that contains 0.1 kg of ...
 7.21: The transport of a substance across a capillary wall in lung physio...
 7.22: Populations of birds and insects are modeled by the equations (a) W...
 7.23: Suppose the model of Exercise 22 is replaced by the equations (a) A...
 7.24: Barbara weighs 60 kg and is on a diet of 1600 calories per day,of w...
Solutions for Chapter 7: Calculus: Concepts and Contexts 4th Edition
Full solutions for Calculus: Concepts and Contexts  4th Edition
ISBN: 9780495557425
Solutions for Chapter 7
Get Full SolutionsSince 24 problems in chapter 7 have been answered, more than 3950 students have viewed full stepbystep solutions from this chapter. Chapter 7 includes 24 full stepbystep solutions. This textbook survival guide was created for the textbook: Calculus: Concepts and Contexts, edition: 4. Calculus: Concepts and Contexts was written by and is associated to the ISBN: 9780495557425. This expansive textbook survival guide covers the following chapters and their solutions.

Annual percentage rate (APR)
The annual interest rate

Associative properties
a + (b + c) = (a + b) + c, a(bc) = (ab)c.

Constant function (on an interval)
ƒ(x 1) = ƒ(x 2) x for any x1 and x2 (in the interval)

Dependent variable
Variable representing the range value of a function (usually y)

Directed angle
See Polar coordinates.

Graph of a function ƒ
The set of all points in the coordinate plane corresponding to the pairs (x, ƒ(x)) for x in the domain of ƒ.

Horizontal translation
A shift of a graph to the left or right.

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

kth term of a sequence
The kth expression in the sequence

Law of sines
sin A a = sin B b = sin C c

Leading coefficient
See Polynomial function in x

LRAM
A Riemann sum approximation of the area under a curve ƒ(x) from x = a to x = b using x1 as the lefthand endpoint of each subinterval

Number line graph of a linear inequality
The graph of the solutions of a linear inequality (in x) on a number line

Placebo
In an experimental study, an inactive treatment that is equivalent to the active treatment in every respect except for the factor about which an inference is to be made. Subjects in a blind experiment do not know if they have been given the active treatment or the placebo.

Projectile motion
The movement of an object that is subject only to the force of gravity

Right circular cone
The surface created when a line is rotated about a second line that intersects but is not perpendicular to the first line.

Sample survey
A process for gathering data from a subset of a population, usually through direct questioning.

Trigonometric form of a complex number
r(cos ? + i sin ?)

Vertex of a cone
See Right circular cone.

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