 7.1: Three mathematics students have ordered a 14inch pizza. Instead of...
 7.2: Evaluate y 1 x 7 2 x dx The straightforward approach would be to st...
 7.3: Evaluate y 1 0 (s 3 1 2 x7 2 s 7 1 2 x 3 ) dx
 7.4: The centers of two disks with radius 1 are one unit apart. Find the...
 7.5: An ellipse is cut out of a circle with radius a. The major axis of ...
 7.6: A man initially standing at the point O walks along a pier pulling ...
 7.7: A function f is defined by fsxd y 0 cos t cossx 2 td dt 0 < x < 2 F...
 7.8: If n is a positive integer, prove that y 1 0 sln xd n dx s21d n n!
 7.9: Show that y 1 0 s1 2 x 2 d n dx 22n sn!d 2 s2n 1 1d! Hint: Start by...
 7.10: Suppose that f is a positive function such that f9 is continuous. (...
 7.11: If 0 , a , b, find lim tl0 Hy 1 0 fbx 1 as1 2 xdgt dxJ 1yt
 7.12: Graph fsxd sinsex d and use the graph to estimate the value of t su...
 7.13: Evaluate y ` 21 S x 4 1 1 x 6 D 2 dx.
 7.14: Evaluate y stan x dx.
 7.15: The circle with radius 1 shown in the figure touches the curve y  ...
 7.16: A rocket is fired straight up, burning fuel at the constant rate of...
Solutions for Chapter 7: Calculus 8th Edition
Full solutions for Calculus  8th Edition
ISBN: 9781285740621
Solutions for Chapter 7
Get Full SolutionsChapter 7 includes 16 full stepbystep solutions. This textbook survival guide was created for the textbook: Calculus, edition: 8. This expansive textbook survival guide covers the following chapters and their solutions. Calculus was written by and is associated to the ISBN: 9781285740621. Since 16 problems in chapter 7 have been answered, more than 9441 students have viewed full stepbystep solutions from this chapter.

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

Binomial theorem
A theorem that gives an expansion formula for (a + b)n

Coefficient matrix
A matrix whose elements are the coefficients in a system of linear equations

Combinatorics
A branch of mathematics related to determining the number of elements of a set or the number of ways objects can be arranged or combined

Components of a vector
See Component form of a vector.

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

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

Graphical model
A visible representation of a numerical or algebraic model.

Horizontal shrink or stretch
See Shrink, stretch.

Law of sines
sin A a = sin B b = sin C c

Line of travel
The path along which an object travels

n factorial
For any positive integer n, n factorial is n! = n.(n  1) . (n  2) .... .3.2.1; zero factorial is 0! = 1

Newton’s law of cooling
T1t2 = Tm + 1T0  Tm2ekt

nth root of unity
A complex number v such that vn = 1

Parametric equations
Equations of the form x = ƒ(t) and y = g(t) for all t in an interval I. The variable t is the parameter and I is the parameter interval.

Positive angle
Angle generated by a counterclockwise rotation.

Probability function
A function P that assigns a real number to each outcome O in a sample space satisfying: 0 … P1O2 … 1, P12 = 0, and the sum of the probabilities of all outcomes is 1.

Square matrix
A matrix whose number of rows equals the number of columns.

Statistic
A number that measures a quantitative variable for a sample from a population.

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