- 5-1.1: How much does it cost per foot to drill at 1000 ft? At 4000 ft? Why...
- 5-1.2: The actual cost of extending the well is given by the definite inte...
- 5-1.3: Estimate the cost again, this time estimating the integral by using...
- 5-1.4: The actual value of the integral is the limit of as n becomes infin...
- 5-1.5: Let g(x) be an antiderivative of f(x). Find an equation for g(x). U...
- 5-1.6: Find these antiderivatives. a. f(x) if (x) = 7x6 b. y if = sin x c....
Solutions for Chapter 5-1: A Definite Integral Problem
Full solutions for Calculus: Concepts and Applications | 2nd Edition
The case in which two sides and a nonincluded angle can determine two different triangles
The central point in a circle, ellipse, hyperbola, or sphere
The function y = csc x
See Polar coordinates.
Directrix of a parabola, ellipse, or hyperbola
A line used to determine the conic
Domain of a function
The set of all input values for a function
Ellipsoid of revolution
A surface generated by rotating an ellipse about its major axis
Endpoint of an interval
A real number that represents one “end” of an interval.
A series whose terms form a geometric sequence.
Graph of an inequality in x and y
The set of all points in the coordinate plane corresponding to the solutions x, y of the inequality.
Graph of parametric equations
The set of all points in the coordinate plane corresponding to the ordered pairs determined by the parametric equations.
Linear programming problem
A method of solving certain problems involving maximizing or minimizing a function of two variables (called an objective function) subject to restrictions (called constraints)
Multiplication principle of probability
If A and B are independent events, then P(A and B) = P(A) # P(B). If Adepends on B, then P(A and B) = P(A|B) # P(B)
nth root of a complex number z
A complex number v such that vn = z
See Circle graph.
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.
Product of matrices A and B
The matrix in which each entry is obtained by multiplying the entries of a row of A by the corresponding entries of a column of B and then adding
An angle in standard position whose terminal side lies on an axis.
Standard form of a polar equation of a conic
r = ke 1 e cos ? or r = ke 1 e sin ? ,
A mean calculated in such a way that some elements of the data set have higher weights (that is, are counted more strongly in determining the mean) than others.