 9.4.1: In Exercises 1 8, identify each equation without completing the square
 9.4.2: In Exercises 1 8, identify each equation without completing the square
 9.4.3: In Exercises 1 8, identify each equation without completing the square
 9.4.4: In Exercises 1 8, identify each equation without completing the square
 9.4.5: In Exercises 1 8, identify each equation without completing the square
 9.4.6: In Exercises 1 8, identify each equation without completing the square
 9.4.7: In Exercises 1 8, identify each equation without completing the square
 9.4.8: In Exercises 1 8, identify each equation without completing the square
 9.4.9: In Exercises 9 14, write each equation in terms of a rotated using ...
 9.4.10: In Exercises 9 14, write each equation in terms of a rotated using ...
 9.4.11: In Exercises 9 14, write each equation in terms of a rotated using ...
 9.4.12: In Exercises 9 14, write each equation in terms of a rotated using ...
 9.4.13: In Exercises 9 14, write each equation in terms of a rotated using ...
 9.4.14: In Exercises 9 14, write each equation in terms of a rotated using ...
 9.4.15: In Exercises 15 26, write the appropriate rotation formulas so that...
 9.4.16: In Exercises 15 26, write the appropriate rotation formulas so that...
 9.4.17: In Exercises 15 26, write the appropriate rotation formulas so that...
 9.4.18: In Exercises 15 26, write the appropriate rotation formulas so that...
 9.4.19: In Exercises 15 26, write the appropriate rotation formulas so that...
 9.4.20: In Exercises 15 26, write the appropriate rotation formulas so that...
 9.4.21: In Exercises 15 26, write the appropriate rotation formulas so that...
 9.4.22: In Exercises 15 26, write the appropriate rotation formulas so that...
 9.4.23: In Exercises 15 26, write the appropriate rotation formulas so that...
 9.4.24: In Exercises 15 26, write the appropriate rotation formulas so that...
 9.4.25: In Exercises 15 26, write the appropriate rotation formulas so that...
 9.4.26: In Exercises 15 26, write the appropriate rotation formulas so that...
 9.4.27: In Exercises 27 38, a. Rewrite the equation in a rotated without an...
 9.4.28: In Exercises 27 38, a. Rewrite the equation in a rotated without an...
 9.4.29: In Exercises 27 38, a. Rewrite the equation in a rotated without an...
 9.4.30: In Exercises 27 38, a. Rewrite the equation in a rotated without an...
 9.4.31: In Exercises 27 38, a. Rewrite the equation in a rotated without an...
 9.4.32: In Exercises 27 38, a. Rewrite the equation in a rotated without an...
 9.4.33: In Exercises 27 38, a. Rewrite the equation in a rotated without an...
 9.4.34: In Exercises 27 38, a. Rewrite the equation in a rotated without an...
 9.4.35: In Exercises 27 38, a. Rewrite the equation in a rotated without an...
 9.4.36: In Exercises 27 38, a. Rewrite the equation in a rotated without an...
 9.4.37: In Exercises 27 38, a. Rewrite the equation in a rotated without an...
 9.4.38: In Exercises 27 38, a. Rewrite the equation in a rotated without an...
 9.4.39: In Exercises 39 44, identify each equation without applying a rotat...
 9.4.40: In Exercises 39 44, identify each equation without applying a rotat...
 9.4.41: In Exercises 39 44, identify each equation without applying a rotat...
 9.4.42: In Exercises 39 44, identify each equation without applying a rotat...
 9.4.43: In Exercises 39 44, identify each equation without applying a rotat...
 9.4.44: In Exercises 39 44, identify each equation without applying a rotat...
 9.4.45: In Exercises 45 48, If the graph of the equation is an ellipse, fin...
 9.4.46: In Exercises 45 48, If the graph of the equation is an ellipse, fin...
 9.4.47: In Exercises 45 48, If the graph of the equation is an ellipse, fin...
 9.4.48: In Exercises 45 48, If the graph of the equation is an ellipse, fin...
 9.4.49: Explain how to identify the graph of Ax2 + Cy2 + Dx + Ey + F = 0
 9.4.50: If there is a 60 angle from the positive to the positive xaxis, ex...
 9.4.51: How do you obtain the angle of rotation so that a general secondde...
 9.4.52: What is the most timeconsuming part in using a graphing utility to...
 9.4.53: Explain how to identify the graph of Ax2 + Bxy + Cy2 + Dx + Ey + F ...
 9.4.54: In Exercises 54 60, use a graphing utility to graph each equation
 9.4.55: In Exercises 54 60, use a graphing utility to graph each equation
 9.4.56: In Exercises 54 60, use a graphing utility to graph each equation
 9.4.57: In Exercises 54 60, use a graphing utility to graph each equation
 9.4.58: In Exercises 54 60, use a graphing utility to graph each equation
 9.4.59: In Exercises 54 60, use a graphing utility to graph each equation
 9.4.60: In Exercises 54 60, use a graphing utility to graph each equation
 9.4.61: I graphed 2x2  3y2 + 6y + 4 = 0 by using the procedure for writing...
 9.4.62: In order to graph an ellipse whose equation contained an I used a r...
 9.4.63: Although the algebra of rotations can get ugly, the main idea is th...
 9.4.64: I can verify that is the equation of a hyperbola by rotating the ax...
 9.4.65: Explain the relationship between the graph of and the sound made by...
 9.4.66: What happens to the equation in a rotated
 9.4.67: In Exercises 67 68, let be an equation of a conic section in an sys...
 9.4.68: In Exercises 67 68, let be an equation of a conic section in an sys...
 9.4.69: Many public and private organizations and schools provide education...
 9.4.70: Exercises 70 72 will help you prepare for the material covered in t...
 9.4.71: Exercises 70 72 will help you prepare for the material covered in t...
 9.4.72: Exercises 70 72 will help you prepare for the material covered in t...
Solutions for Chapter 9.4: Rotation of Axes
Full solutions for Precalculus  4th Edition
ISBN: 9780321559845
Solutions for Chapter 9.4: Rotation of Axes
Get Full SolutionsSince 72 problems in chapter 9.4: Rotation of Axes have been answered, more than 106747 students have viewed full stepbystep solutions from this chapter. Precalculus was written by and is associated to the ISBN: 9780321559845. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 9.4: Rotation of Axes includes 72 full stepbystep solutions. This textbook survival guide was created for the textbook: Precalculus, edition: 4.

Branches
The two separate curves that make up a hyperbola

Derivative of ƒ at x a
ƒ'(a) = lim x:a ƒ(x)  ƒ(a) x  a provided the limit exists

Equal matrices
Matrices that have the same order and equal corresponding elements.

Exponential form
An equation written with exponents instead of logarithms.

Finite sequence
A function whose domain is the first n positive integers for some fixed integer n.

Firstdegree equation in x , y, and z
An equation that can be written in the form.

Implicitly defined function
A function that is a subset of a relation defined by an equation in x and y.

Inferential statistics
Using the science of statistics to make inferences about the parameters in a population from a sample.

Inverse composition rule
The composition of a onetoone function with its inverse results in the identity function.

Line of travel
The path along which an object travels

Linear equation in x
An equation that can be written in the form ax + b = 0, where a and b are real numbers and a Z 0

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

Parabola
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).

Real zeros
Zeros of a function that are real numbers.

Sample standard deviation
The standard deviation computed using only a sample of the entire population.

Series
A finite or infinite sum of terms.

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

Unbounded interval
An interval that extends to ? or ? (or both).

Velocity
A vector that specifies the motion of an object in terms of its speed and direction.

Zero vector
The vector <0,0> or <0,0,0>.