 7.1.1E: Evaluate the integrals in Exercises 1–46.
 7.1.2E: Evaluate the integrals in Exercises 1–46.
 7.1.3E: Evaluate the integrals in Exercises 1–46.
 7.1.4E: Evaluate the integrals in Exercises 1–46.
 7.1.5E: Evaluate the integrals in Exercises 1–46.
 7.1.6E: Evaluate the integrals in Exercises 1–46.
 7.1.7E: Evaluate the integrals in Exercises 1–46.
 7.1.8E: Evaluate the integrals in Exercises 1–46.
 7.1.9E: Evaluate the integrals in Exercises 1–46.
 7.1.10E: Evaluate the integrals in Exercises 1–46.
 7.1.11E: Evaluate the integrals in Exercises 1–46.
 7.1.12E: Evaluate the integrals in Exercises 1–46.
 7.1.13E: Evaluate the integrals in Exercises 1–46.
 7.1.14E: Evaluate the integrals in Exercises 1–46.
 7.1.15E: Evaluate the integrals in Exercises 1–46.
 7.1.16E: Evaluate the integrals in Exercises 1–46.
 7.1.17E: Evaluate the integrals in Exercises 1–46.
 7.1.18E: Evaluate the integrals in Exercises 1–46.
 7.1.19E: Evaluate the integrals in Exercises 1–46.
 7.1.20E: Evaluate the integrals in Exercises 1–46.
 7.1.21E: Evaluate the integrals in Exercises 1–46.
 7.1.22E: Evaluate the integrals in Exercises 1–46.
 7.1.23E: Evaluate the integrals in Exercises 1–46.
 7.1.24E: Evaluate the integrals in Exercises 1–46.
 7.1.25E: Evaluate the integrals in Exercises 1–46.
 7.1.26E: Evaluate the integrals in Exercises 1–46.
 7.1.27E: Evaluate the integrals in Exercises 1–46.
 7.1.28E: Evaluate the integrals in Exercises 1–46.
 7.1.29E: Evaluate the integrals in Exercises 1–46.
 7.1.30E: Evaluate the integrals in Exercises 1–46.
 7.1.31E: Evaluate the integrals in Exercises 1–46.
 7.1.32E: Evaluate the integrals in Exercises 1–46.
 7.1.33E: Evaluate the integrals in Exercises 1–46.
 7.1.34E: Evaluate the integrals in Exercises 1–46.
 7.1.35E: Evaluate the integrals in Exercises 1–46.
 7.1.36E: Evaluate the integrals in Exercises 1–46.
 7.1.37E: Evaluate the integrals in Exercises 1–46.
 7.1.38E: Evaluate the integrals in Exercises 1–46.
 7.1.39E: Evaluate the integrals in Exercises 1–46.
 7.1.40E: Evaluate the integrals in Exercises 1–46.
 7.1.41E: Evaluate the integrals in Exercises 1–46.
 7.1.42E: Evaluate the integrals in Exercises 1–46.
 7.1.43E: Evaluate the integrals in Exercises 1–46.
 7.1.44E: Evaluate the integrals in Exercises 1–46.
 7.1.45E: Evaluate the integrals in Exercises 1–46.
 7.1.46E: Evaluate the integrals in Exercises 1–46.
 7.1.47E: Solve the initial value problems in Exercises 47–52.
 7.1.48E: Solve the initial value problems in Exercises 47–52.
 7.1.49E: Solve the initial value problems in Exercises 47–52.
 7.1.50E: Solve the initial value problems in Exercises 47–52.
 7.1.51E: Solve the initial value problems in Exercises 47–52.
 7.1.52E: Solve the initial value problems in Exercises 47–52.
 7.1.53E: The region between the curve y = 1/x2 and the xaxis from X = 1/2 t...
 7.1.54E: In Section 6.2, Exercise 6, we revolved about the yaxis the region...
 7.1.55E: Find the lengths of the curves in Exercises 55 and 56.
 7.1.56E: Find the lengths of the curves in Exercises 55 and 56.
 7.1.57E: The linearization of ln (1 + x) at x = 0 Instead of approximating l...
 7.1.58E: The linearization of e x at x = 0 a. Derive the linear approximatio...
 7.1.59E: Show that for any number a > 1 (See accompanying figure.)
 7.1.60E: The geometric, logarithmic, and arithmetic mean inequality a. Show ...
 7.1.61E: Graph ln x, ln 2x, ln 4x, ln 8x, and ln 16x (as many as you can) to...
 7.1.62E: Graph y = In sin x in the window Explain what you see. How could ...
 7.1.63E: a. Graph y = sin x and the curves y = In(a + sin x) for a = 2, 4, 8...
 7.1.64E: Does the graph of have an inflection point? Try to answer the quest...
 7.1.65E: The equation x2 = 2x has three solutions: x = 2, x = 4, and one oth...
 7.1.66E: Could xIn2 possibly be the same as 2Inx for x > 0? Graph the two fu...
 7.1.67E: Which is bigger, Calculators have taken some of the mystery out of ...
 7.1.68E: A decimal representation of e Find e to as many decimal places as y...
 7.1.69E: Most scientific calculators have keys for log10 x and ln x. To find...
 7.1.70E: Conversion factors a. Show that the equation for converting base 10...
Solutions for Chapter 7.1: University Calculus: Early Transcendentals 2nd Edition
Full solutions for University Calculus: Early Transcendentals  2nd Edition
ISBN: 9780321717399
Solutions for Chapter 7.1
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: University Calculus: Early Transcendentals , edition: 2. Since 70 problems in chapter 7.1 have been answered, more than 58403 students have viewed full stepbystep solutions from this chapter. University Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321717399. Chapter 7.1 includes 70 full stepbystep solutions.

Arithmetic sequence
A sequence {an} in which an = an1 + d for every integer n ? 2 . The number d is the common difference.

Constant term
See Polynomial function

Control
The principle of experimental design that makes it possible to rule out other factors when making inferences about a particular explanatory variable

Elementary row operations
The following three row operations: Multiply all elements of a row by a nonzero constant; interchange two rows; and add a multiple of one row to another row

Equally likely outcomes
Outcomes of an experiment that have the same probability of occurring.

Equilibrium price
See Equilibrium point.

Increasing on an interval
A function ƒ is increasing on an interval I if, for any two points in I, a positive change in x results in a positive change in.

Linear regression line
The line for which the sum of the squares of the residuals is the smallest possible

Radian
The measure of a central angle whose intercepted arc has a length equal to the circle’s radius.

Random variable
A function that assigns realnumber values to the outcomes in a sample space.

Real zeros
Zeros of a function that are real numbers.

Residual
The difference y1  (ax 1 + b), where (x1, y1)is a point in a scatter plot and y = ax + b is a line that fits the set of data.

Scientific notation
A positive number written as c x 10m, where 1 ? c < 10 and m is an integer.

Second quartile
See Quartile.

Semiperimeter of a triangle
Onehalf of the sum of the lengths of the sides of a triangle.

Upper bound for real zeros
A number d is an upper bound for the set of real zeros of ƒ if ƒ(x) ? 0 whenever x > d.

Upper bound for ƒ
Any number B for which ƒ(x) ? B for all x in the domain of ƒ.

Weights
See Weighted mean.

xzplane
The points x, 0, z in Cartesian space.

ycoordinate
The directed distance from the xaxis xzplane to a point in a plane (space), or the second number in an ordered pair (triple), pp. 12, 629.