- 11-7.R1: Work Problem: Manuel Dexterity drags Bob Tail across the floor. Man...
- 11-7.R2: a. Magnet Problem: A magnet repels another magnet with a force inve...
- 11-7.R3: Variable Density Problem: The region in Quadrant I bounded by the g...
- 11-7.R4: a. Triangle Centroid Problem: Figure 11-7c shows a triangle of base...
- 11-7.R5: Wind Force Problem: A tower has the shape of a slender pyramid (Fig...
- 11-7.R6: Oil Well Problem: Suppose you work for a company that plans to dril...
- 11-7.C1: Cubic Parabola Region Problem: The following problems concern a reg...
- 11-7.C2: Moment vs. Volume Problem: Show that finding the first moment of th...
- 11-7.C3: Paraboloid Moment Conjecture Problem: A solid paraboloid is formed ...
- 11-7.C4: Infinitesimals of Higher Order: a. Figure 11-7f shows a lower Riema...
Solutions for Chapter 11-7: Chapter Review and Test
Full solutions for Calculus: Concepts and Applications | 2nd Edition
The central point in a circle, ellipse, hyperbola, or sphere
See Geometric sequence.
Conic section (or conic)
A curve obtained by intersecting a double-napped right circular cone with a plane
See Polynomial function
A degree 3 polynomial function
Equivalent equations (inequalities)
Equations (inequalities) that have the same solutions.
The points (x, y, z) in space with x > 0 y > 0, and z > 0.
The area of ¢ABC with semiperimeter s is given by 2s1s - a21s - b21s - c2.
Side opposite the right angle in a right triangle.
Linear inequality in two variables x and y
An inequality that can be written in one of the following forms: y 6 mx + b, y … mx + b, y 7 mx + b, or y Ú mx + b with m Z 0
Polar coordinate system
A coordinate system whose ordered pair is based on the directed distance from a central point (the pole) and the angle measured from a ray from the pole (the polar axis)
The first quartile is the median of the lower half of a set of data, the second quartile is the median, and the third quartile is the median of the upper half of the data.
For an angle ? in standard position, a reference triangle is a triangle formed by the terminal side of angle ?, the x-axis, and a perpendicular dropped from a point on the terminal side to the x-axis. The angle in a reference triangle at the origin is the reference angle
An equation found by regression and which can be used to predict unknown values.
Row echelon form
A matrix in which rows consisting of all 0’s occur only at the bottom of the matrix, the first nonzero entry in any row with nonzero entries is 1, and the leading 1’s move to the right as we move down the rows.
A procedure for fitting a curve y = a sin (bx + c) + d to a set of data
A line that is neither horizontal nor vertical
Solve a triangle
To find one or more unknown sides or angles of a triangle
A measure of how a data set is spread
Vector equation for a line in space
The line through P0(x 0, y0, z0) in the direction of the nonzero vector V = <a, b, c> has vector equation r = r0 + tv , where r = <x,y,z>.