 10.1.1E: Explain how a set of parametric equations generates a curve in the ...
 10.1.2E: Give two sets of parametric equations that generate a circle center...
 10.1.3E: Give a set of parametric equations that describes a full circle of ...
 10.1.4E: Give a set of parametric equations that generates the line with slo...
 10.1.5E: Find a set of parametric equations for the parabola y = x2.
 10.1.6E: Describe the similarities and differences between the parametric eq...
 10.1.7E: Working with parametric equations Consider the following parametric...
 10.1.8E: Working with parametric equations Consider the following parametric...
 10.1.9E: Working with parametric equations Consider the following parametric...
 10.1.10E: Working with parametric equations Consider the following parametric...
 10.1.11E: Working with parametric equations Consider the following parametric...
 10.1.12E: Working with parametric equations Consider the following parametric...
 10.1.13E: Working with parametric equations Consider the following parametric...
 10.1.14E: Working with parametric equations Consider the following parametric...
 10.1.15E: Circles and arcs Eliminate the parameter to find a description of t...
 10.1.16E: Circles and arcs Eliminate the parameter to find a description of t...
 10.1.17E: Circles and arcs Eliminate the parameter to find a description of t...
 10.1.18E: Circles and arcs Eliminate the parameter to find a description of t...
 10.1.19E: Parametric equations of circles Find parametric equations for the f...
 10.1.20E: Parametric equations of circles Find parametric equations for the f...
 10.1.21E: Parametric equations of circles Find parametric equations for the f...
 10.1.22E: Parametric equations of circles Find parametric equations for the f...
 10.1.23E: Circular motion Find parametric equations that describe the circula...
 10.1.24E: Circular motion Find parametric equations that describe the circula...
 10.1.25E: Circular motion Find parametric equations that describe the circula...
 10.1.26E: Circular motion Find parametric equations that describe the circula...
 10.1.27E: Parametric lines Find the slope of each line and a point on the lin...
 10.1.28E: Parametric lines Find the slope of each line and a point on the lin...
 10.1.29E: Parametric lines Find the slope of each line and a point on the lin...
 10.1.30E: Parametric lines Find the slope of each line and a point on the lin...
 10.1.31E: Line segments Find a parametric description of the line segment fro...
 10.1.32E: Line segments Find a parametric description of the line segment fro...
 10.1.33E: Line segments Find a parametric description of the line segment fro...
 10.1.34E: Line segments Find a parametric description of the line segment fro...
 10.1.35E: Curves to parametric equations Give a set of parametric equations t...
 10.1.36E: Curves to parametric equations Give a set of parametric equations t...
 10.1.37E: Curves to parametric equations Give a set of parametric equations t...
 10.1.38E: Curves to parametric equations Give a set of parametric equations t...
 10.1.39E: More parametric curves Use a graphing utility to graph the followin...
 10.1.40E: More parametric curves Use a graphing utility to graph the followin...
 10.1.41E: More parametric curves Use a graphing utility to graph the followin...
 10.1.42E: More parametric curves Use a graphing utility to graph the followin...
 10.1.43E: More parametric curves Use a graphing utility to graph the followin...
 10.1.44E: More parametric curves Use a graphing utility to graph the followin...
 10.1.45E: Derivatives Consider the following parametric curves.a. Determine d...
 10.1.46E: Derivatives Consider the following parametric curves.a. Determine d...
 10.1.47E: Derivatives Consider the following parametric curves.a. Determine d...
 10.1.48E: Derivatives Consider the following parametric curves.a. Determine d...
 10.1.49E: Derivatives Consider the following parametric curves.a. Determine d...
 10.1.50E: Derivatives Consider the following parametric curves.a. Determine d...
 10.1.51E: Explain why or why not Determine whether the following statements a...
 10.1.52E: Words to curves Find parametric equations for the following curves....
 10.1.53E: Words to curves Find parametric equations for the following curves....
 10.1.54E: Words to curves Find parametric equations for the following curves....
 10.1.55E: Words to curves Find parametric equations for the following curves....
 10.1.56E: Matching curves and equations Match the following four equations wi...
 10.1.57E: Ellipses An ellipse (discussed in detail in Section 10.4) is genera...
 10.1.58E: Ellipses An ellipse (discussed in detail in Section 10.4) is genera...
 10.1.59E: Parametric equations of ellipses Find parametric equations of the f...
 10.1.60E: Parametric equations of ellipses Find parametric equations of the f...
 10.1.61E: Parametric equations of ellipses Find parametric equations of the f...
 10.1.62E: Parametric equations of ellipses Find parametric equations of the f...
 10.1.63E: Multiple descriptions Which of the following parametric equations d...
 10.1.64E: Multiple descriptions Which of the following parametric equations d...
 10.1.65E: Eliminating the parameter Eliminate the parameter to express the fo...
 10.1.66E: Eliminating the parameter Eliminate the parameter to express the fo...
 10.1.67E: Eliminating the parameter Eliminate the parameter to express the fo...
 10.1.68E: Eliminating the parameter Eliminate the parameter to express the fo...
 10.1.69E: Eliminating the parameter Eliminate the parameter to express the fo...
 10.1.70E: Eliminating the parameter Eliminate the parameter to express the fo...
 10.1.71E: Slopes of tangent lines Find all the points on the following curves...
 10.1.72E: Slopes of tangent lines Find all the points on the following curves...
 10.1.73E: Slopes of tangent lines Find all the points on the following curves...
 10.1.74E: Slopes of tangent lines Find all the points on the following curves...
 10.1.75E: Equivalent descriptions Find real numbers a and b such that equatio...
 10.1.76E: Equivalent descriptions Find real numbers a and b such that equatio...
 10.1.77E: Lissajous curves Consider the following Lissajous curves. Find all ...
 10.1.78E: Lissajous curves Consider the following Lissajous curves. Find all ...
 10.1.79E: Lamé curves The Lamé curve described by , where a, b, and n are pos...
 10.1.80E: Hyperbolas A family of curves called hyperbolas (discussed in Secti...
 10.1.81E: Trochoid explorations A trochoid is the path followed by a point b ...
 10.1.82E: Epitrochoid An epitrochoid is the path of a point on a circle of ra...
 10.1.83E: Hypocycloid A general hypocycloid is described by the equations Use...
 10.1.84E: Air drop A plane traveling horizontally at 80 m/s over flat ground ...
 10.1.85E: Air drop—inverse problem A plane traveling horizontally at 100 m/s ...
 10.1.86E: Projectile explorations A projectile launched from the ground with ...
 10.1.87AE: Implicit function graph Explain and carry out a method for graphing...
 10.1.88AE: Second derivative Assume a curve is given by the parametric equatio...
 10.1.89AE: General equations for a circle Prove that the equations where a, b,...
 10.1.90AE: xy versus yx Consider positive real numbers x and y. Notice that 43...
Solutions for Chapter 10.1: Calculus: Early Transcendentals 1st Edition
Full solutions for Calculus: Early Transcendentals  1st Edition
ISBN: 9780321570567
Solutions for Chapter 10.1
Get Full SolutionsChapter 10.1 includes 90 full stepbystep solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. This expansive textbook survival guide covers the following chapters and their solutions. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. Since 90 problems in chapter 10.1 have been answered, more than 118754 students have viewed full stepbystep solutions from this chapter.

Addition property of equality
If u = v and w = z , then u + w = v + z

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

Degree of a polynomial (function)
The largest exponent on the variable in any of the terms of the polynomial (function)

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

Difference of complex numbers
(a + bi)  (c + di) = (a  c) + (b  d)i

Difference of two vectors
<u1, u2>  <v1, v2> = <u1  v1, u2  v2> or <u1, u2, u3>  <v1, v2, v3> = <u1  v1, u2  v2, u3  v3>

Distance (in a coordinate plane)
The distance d(P, Q) between P(x, y) and Q(x, y) d(P, Q) = 2(x 1  x 2)2 + (y1  y2)2

Explicitly defined sequence
A sequence in which the kth term is given as a function of k.

Frequency distribution
See Frequency table.

Infinite sequence
A function whose domain is the set of all natural numbers.

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)

nth root of a complex number z
A complex number v such that vn = z

Rational zeros theorem
A procedure for finding the possible rational zeros of a polynomial.

Resistant measure
A statistical measure that does not change much in response to outliers.

Solve a system
To find all solutions of a system.

Standard form of a polar equation of a conic
r = ke 1 e cos ? or r = ke 1 e sin ? ,

Tangent line of ƒ at x = a
The line through (a, ƒ(a)) with slope ƒ'(a) provided ƒ'(a) exists.

Triangular form
A special form for a system of linear equations that facilitates finding the solution.

Unit vector
Vector of length 1.

Zero matrix
A matrix consisting entirely of zeros.