 3.9.1E: Use reference triangles in an appropriate quadrant, as in Example 1...
 3.9.2E: Use reference triangles in an appropriate quadrant, as in Example 1...
 3.9.3E: Use reference triangles in an appropriate quadrant, as in Example 1...
 3.9.4E: Use reference triangles in an appropriate quadrant, as in Example 1...
 3.9.5E: Use reference triangles in an appropriate quadrant, as in Example 1...
 3.9.6E: Use reference triangles in an appropriate quadrant, as in Example 1...
 3.9.7E: Use reference triangles in an appropriate quadrant, as in Example 1...
 3.9.8E: Use reference triangles in an appropriate quadrant, as in Example 1...
 3.9.9E: Find the values in Exercises 9–12.
 3.9.10E: Find the values in Exercises 9–12.
 3.9.11E: Find the values in Exercises 9–12.
 3.9.12E: Find the values in Exercises 9–12.
 3.9.13E: Find the limits in Exercises 13–20. (If in doubt, look at the funct...
 3.9.14E: Find the limits in Exercises 13–20. (If in doubt, look at the funct...
 3.9.15E: Find the limits in Exercises 13–20. (If in doubt, look at the funct...
 3.9.16E: Find the limits in Exercises 13–20. (If in doubt, look at the funct...
 3.9.17E: Find the limits in Exercises 13–20. (If in doubt, look at the funct...
 3.9.18E: Find the limits in Exercises 13–20. (If in doubt, look at the funct...
 3.9.19E: Find the limits in Exercises 13–20. (If in doubt, look at the funct...
 3.9.20E: Find the limits in Exercises 13–20. (If in doubt, look at the funct...
 3.9.21E: In Exercises 21–42, find the derivative of y with respect to the ap...
 3.9.22E: In Exercises 21–42, find the derivative of y with respect to the ap...
 3.9.23E: In Exercises 21–42, find the derivative of y with respect to the ap...
 3.9.24E: In Exercises 21–42, find the derivative of y with respect to the ap...
 3.9.25E: In Exercises 21–42, find the derivative of y with respect to the ap...
 3.9.26E: In Exercises 21–42, find the derivative of y with respect to the ap...
 3.9.27E: In Exercises 21–42, find the derivative of y with respect to the ap...
 3.9.28E: In Exercises 21–42, find the derivative of y with respect to the ap...
 3.9.29E: In Exercises 21–42, find the derivative of y with respect to the ap...
 3.9.30E: In Exercises 21–42, find the derivative of y with respect to the ap...
 3.9.31E: In Exercises 21–42, find the derivative of y with respect to the ap...
 3.9.32E: In Exercises 21–42, find the derivative of y with respect to the ap...
 3.9.33E: In Exercises 21–42, find the derivative of y with respect to the ap...
 3.9.34E: In Exercises 21–42, find the derivative of y with respect to the ap...
 3.9.35E: In Exercises 21–42, find the derivative of y with respect to the ap...
 3.9.36E: In Exercises 21–42, find the derivative of y with respect to the ap...
 3.9.37E: In Exercises 21–42, find the derivative of y with respect to the ap...
 3.9.38E: In Exercises 21–42, find the derivative of y with respect to the ap...
 3.9.39E: In Exercises 21–42, find the derivative of y with respect to the ap...
 3.9.40E: In Exercises 21–42, find the derivative of y with respect to the ap...
 3.9.41E: In Exercises 21–42, find the derivative of y with respect to the ap...
 3.9.42E: In Exercises 21–42, find the derivative of y with respect to the ap...
 3.9.43E: You are sitting in a classroom next to the wall looking at the blac...
 3.9.44E: Find the angle ?.
 3.9.45E: Here is an informal proof that tan1 1 + tan1 2 + tan1 3 = ?. Exp...
 3.9.46E: Two derivations of the identity sec1 (x) = ? – sec1 xa. (Geometr...
 3.9.47E: Which of the expressions in Exercises 47–50 are defined, and which ...
 3.9.48E: Which of the expressions in Exercises 47–50 are defined, and which ...
 3.9.49E: Which of the expressions in Exercises 47–50 are defined, and which ...
 3.9.50E: Which of the expressions in Exercises 47–50 are defined, and which ...
 3.9.51E: Use the identity to derive the formula for the derivative of csc1 ...
 3.9.52E: Derive the formula for the derivative of y = tan1 x by differentia...
 3.9.53E: Use the Derivative Rule in Section 3.8, Theorem 3, to derive
 3.9.54E: Use the identity to derive the formula for the derivative of cot1 ...
 3.9.55E: What is special about the functions Explain.
 3.9.56E: What is special about the functions Explain.
 3.9.57E: Find the values ofa. sec1 1.5 b. csc1 (1.5) c. cot1 2
 3.9.58E: Find the values ofa. sec1 (3) b. csc1 1.7 c. cot1 (2)
 3.9.59E: In Exercises 59–61, find the domain and range of each composite fun...
 3.9.60E: In Exercises 59–61, find the domain and range of each composite fun...
 3.9.61E: In Exercises 59–61, find the domain and range of each composite fun...
 3.9.62E: Use your graphing utility for Exercises 62–66.Graph Explain what yo...
 3.9.63E: Use your graphing utility for Exercises 62–66.Newton’s serpentine G...
 3.9.64E: Use your graphing utility for Exercises 62–66.Graph the rational fu...
 3.9.65E: Use your graphing utility for Exercises 62–66.Graph ƒ(x) = sin1 x ...
 3.9.66E: Graph ƒ(x) = tan1 x together with its first two derivatives. Comme...
Solutions for Chapter 3.9: University Calculus: Early Transcendentals 2nd Edition
Full solutions for University Calculus: Early Transcendentals  2nd Edition
ISBN: 9780321717399
Solutions for Chapter 3.9
Get Full SolutionsSince 66 problems in chapter 3.9 have been answered, more than 57728 students have viewed full stepbystep solutions from this chapter. Chapter 3.9 includes 66 full stepbystep solutions. University Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321717399. This textbook survival guide was created for the textbook: University Calculus: Early Transcendentals , edition: 2. This expansive textbook survival guide covers the following chapters and their solutions.

Binomial coefficients
The numbers in Pascal’s triangle: nCr = anrb = n!r!1n  r2!

Commutative properties
a + b = b + a ab = ba

Data
Facts collected for statistical purposes (singular form is datum)

Degree
Unit of measurement (represented by the symbol ) for angles or arcs, equal to 1/360 of a complete revolution

Discriminant
For the equation ax 2 + bx + c, the expression b2  4ac; for the equation Ax2 + Bxy + Cy2 + Dx + Ey + F = 0, the expression B2  4AC

Exponential function
A function of the form ƒ(x) = a ? bx,where ?0, b > 0 b ?1

Extracting square roots
A method for solving equations in the form x 2 = k.

Frequency
Reciprocal of the period of a sinusoid.

Horizontal component
See Component form of a vector.

Leading coefficient
See Polynomial function in x

Natural logarithm
A logarithm with base e.

Octants
The eight regions of space determined by the coordinate planes.

Onetoone rule of exponents
x = y if and only if bx = by.

Pseudorandom numbers
Computergenerated numbers that can be used to approximate true randomness in scientific studies. Since they depend on iterative computer algorithms, they are not truly random

Quartic function
A degree 4 polynomial function.

Remainder polynomial
See Division algorithm for polynomials.

symmetric about the xaxis
A graph in which (x, y) is on the graph whenever (x, y) is; or a graph in which (r, ?) or (r, ?, ?) is on the graph whenever (r, ?) is

Triangular number
A number that is a sum of the arithmetic series 1 + 2 + 3 + ... + n for some natural number n.

xcoordinate
The directed distance from the yaxis yzplane to a point in a plane (space), or the first number in an ordered pair (triple), pp. 12, 629.

Yscl
The scale of the tick marks on the yaxis in a viewing window.