 1.1: In Probletns J thtough 10, Jind the dornah of defnition of the func...
 1.2: In Probletns J thtough 10, Jind the dornah of defnition of thefunct...
 1.3: In Probletns J thtough 10, Jind the dornah of defnition of the func...
 1.4: In Probletns J thtough 10, Jind the dornah of defnition of the func...
 1.5: In Probletns J thtough 10, Jind the dornah of defnition of the func...
 1.6: In Probletns J thtough 10, Jind the dornah of defnition of the func...
 1.7: In Probletns J thtough 10, Jind the dornah of defnition of the func...
 1.8: In Probletns J thtough 10, Jind the dornah of defnition of the func...
 1.9: In Probletns J thtough 10, Jind the dornah of defnition of the func...
 1.10: In Probletns J thtough 10, Jind the dornah of defnition of the func...
 1.11: In accord with Boyle's law, rhe pressure p (lb/in.r) and volume y (...
 1.12: The relationship between the Fahrenheit temperature F and the Celsi...
 1.13: An electric ctcuit contains a batiery that supplies E volts in seri...
 1.14: The period f (in seconds) ofa simple pendulum oflength L rin leeu i...
 1.15: Express the volume V of a cube as a function of its total suface ar...
 1.16: The height of a cerain right circular cylinder. is equal to its rad...
 1.17: Exptess the area A ol an equilaterai triangle as a l'unction of its...
 1.18: A piece of wire 100 in. Iong is cur into rwo pieces of lengths l a...
 1.19: Z passes through ( 3.5) and (1. 13).
 1.20: Z passes through (4.  l) and has slope 3.
 1.21: L has.lope I rnd r'inrercepr 5
 1.22: L passes through (2. 3) and is parallel to rhe line wirh equation ...
 1.23: L passes through ( 3.7) and is perpendicular ro the line with equar...
 1.24: L, is the perpendicular bisecror of the segmenr joining (1. 5) and ...
 1.25: Irt Problens 25 thtough 31, natch the gien Jiolctiorr vith its grd...
 1.26: Irt Problens 25 thtough 31, natch the gien Jiolctiorr vith its grd...
 1.27: Irt Problens 25 thtough 31, natch the gien Jiolctiorr vith its grd...
 1.28: Irt Problens 25 thtough 31, natch the gien Jiolctiorr vith its grd...
 1.29: Irt Problens 25 thtough 31, natch the gien Jiolctiorr vith its grd...
 1.30: Irt Problens 25 thtough 31, natch the gien Jiolctiorr vith its grd...
 1.31: Irt Problens 25 thtough 31, natch the gien Jiolctiorr vith its grd...
 1.32: Irt Problens 25 thtough 31, natch the gien Jiolctiorr vith its grd...
 1.33: Irt Problens 25 thtough 31, natch the gien Jiolctiorr vith its grd...
 1.34: Irt Problens 25 thtough 31, natch the gien Jiolctiorr vith its grd...
 1.35: Sketch the graphs of the eqLtations and functiotrs giten it Prctble...
 1.36: Sketch the graphs of the eqLtations and functiotrs giten it Prctble...
 1.37: Sketch the graphs of the eqLtations and functiotrs giten it Prctble...
 1.38: Sketch the graphs of the eqLtations and functiotrs giten it Prctble...
 1.39: Sketch the graphs of the eqLtations and functiotrs giten it Prctble...
 1.40: Sketch the graphs of the eqLtations and functiotrs giten it Prctble...
 1.41: Sketch the graphs of the eqLtations and functiotrs giten it Prctble...
 1.42: Sketch the graphs of the eqLtations and functiotrs giten it Prctble...
 1.43: Sketch the graphs of the eqLtations and functiotrs giten it Prctble...
 1.44: Sketch the graphs of the eqLtations and functiotrs giten it Prctble...
 1.45: Apply the triangle inequality (ofAppendix A) twice to show that o+b...
 1.46: Write a = (a  ,) + b to deduce from the lriangle inequality (of Ap...
 1.47: Solve the inequality 12 r  6 > 0. I Slggesriorr. Conclude from th...
 1.48: Use the nethod of Problen 17 to solte the rcqualities i1 Ptoblenrs ...
 1.49: Use the nethod of Problen 17 to solte the rcqualities i1 Ptoblenrs ...
 1.50: Use the nethod of Problen 17 to solte the rcqualities i1 Ptoblenrs ...
 1.51: The remaining probletns requirc tlrc trse of an apptopriate ccl' cu...
 1.52: The remaining probletns requirc tlrc trse of an apptopriate ccl' cu...
 1.53: The remaining probletns requirc tlrc trse of an apptopriate ccl' cu...
 1.54: The remaining probletns requirc tlrc trse of an apptopriate ccl' cu...
 1.55: The remaining probletns requirc tlrc trse of an apptopriate ccl' cu...
 1.56: The remaining probletns requirc tlrc trse of an apptopriate ccl' cu...
 1.57: In Ptttblens 57 tlttoLtgh 62, apply either the Drcthod of rcpeated ...
 1.58: In Ptttblens 57 tlttoLtgh 62, apply either the Drcthod of rcpeated ...
 1.59: In Ptttblens 57 tlttoLtgh 62, apply either the Drcthod of rcpeated ...
 1.60: In Ptttblens 57 tlttoLtgh 62, apply either the Drcthod of rcpeated ...
 1.61: In Ptttblens 57 tlttoLtgh 62, apply either the Drcthod of rcpeated ...
 1.62: In Ptttblens 57 tlttoLtgh 62, apply either the Drcthod of rcpeated ...
 1.63: Figure l.MP12 shows a locm by 7cm portrait that includes a border...
 1.64: A mailorder catalog lists a 60in. by 35in. tablecloth that shrin...
 1.65: Deternitte graplicalb'tlrc tuufuer ofreal solutiotrs ofeach eEntion...
 1.66: Deternitte graplicalb'tlrc tuufuer ofreal solutiotrs ofeach eEntion...
 1.67: Deternitte graplicalb'tlrc tuufuer ofreal solutiotrs ofeach eEntion...
 1.68: Deternitte graplicalb'tlrc tuufuer ofreal solutiotrs ofeach eEntion...
 1.69: Deternitte graplicalb'tlrc tuufuer ofreal solutiotrs ofeach eEntion...
 1.70: Deternitte graplicalb'tlrc tuufuer ofreal solutiotrs ofeach eEntion...
Solutions for Chapter 1: Calculus:Early Transcendentals 7th Edition
Full solutions for Calculus:Early Transcendentals  7th Edition
ISBN: 9780131569898
Solutions for Chapter 1
Get Full SolutionsCalculus:Early Transcendentals was written by and is associated to the ISBN: 9780131569898. Chapter 1 includes 70 full stepbystep solutions. Since 70 problems in chapter 1 have been answered, more than 9984 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus:Early Transcendentals, edition: 7.

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

Chord of a conic
A line segment with endpoints on the conic

Combinations of n objects taken r at a time
There are nCr = n! r!1n  r2! such combinations,

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

Distance (on a number line)
The distance between real numbers a and b, or a  b

Divisor of a polynomial
See Division algorithm for polynomials.

Equivalent equations (inequalities)
Equations (inequalities) that have the same solutions.

Explanatory variable
A variable that affects a response variable.

Graph of an equation in x and y
The set of all points in the coordinate plane corresponding to the pairs x, y that are solutions of the equation.

Histogram
A graph that visually represents the information in a frequency table using rectangular areas proportional to the frequencies.

Irreducible quadratic over the reals
A quadratic polynomial with real coefficients that cannot be factored using real coefficients.

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

Linear factorization theorem
A polynomial ƒ(x) of degree n > 0 has the factorization ƒ(x) = a(x1  z1) 1x  i z 22 Á 1x  z n where the z1 are the zeros of ƒ

Opens upward or downward
A parabola y = ax 2 + bx + c opens upward if a > 0 and opens downward if a < 0.

Powerreducing identity
A trigonometric identity that reduces the power to which the trigonometric functions are raised.

Richter scale
A logarithmic scale used in measuring the intensity of an earthquake.

Riemann sum
A sum where the interval is divided into n subintervals of equal length and is in the ith subinterval.

Trichotomy property
For real numbers a and b, exactly one of the following is true: a < b, a = b , or a > b.

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.

Zero factor property
If ab = 0 , then either a = 0 or b = 0.