 9.1: Sketch the graphs of the equations in 1 through 30. 1 througll 18,i...
 9.2: Sketch the graphs of the equations in 1 through 30. 1 througll 18,i...
 9.3: Sketch the graphs of the equations in 1 through 30. 1 througll 18,i...
 9.4: Sketch the graphs of the equations in 1 through 30. 1 througll 18,i...
 9.5: Sketch the graphs of the equations in 1 through 30. 1 througll 18,i...
 9.6: Sketch the graphs of the equations in 1 through 30. 1 througll 18,i...
 9.7: Sketch the graphs of the equations in 1 through 30. 1 througll 18,i...
 9.8: Sketch the graphs of the equations in 1 through 30. 1 througll 18,i...
 9.9: Sketch the graphs of the equations in 1 through 30. 1 througll 18,i...
 9.10: Sketch the graphs of the equations in 1 through 30. 1 througll 18,i...
 9.11: Sketch the graphs of the equations in 1 through 30. 1 througll 18,i...
 9.12: Sketch the graphs of the equations in 1 through 30. 1 througll 18,i...
 9.13: Sketch the graphs of the equations in 1 through 30. 1 througll 18,i...
 9.14: Sketch the graphs of the equations in 1 through 30. 1 througll 18,i...
 9.15: Sketch the graphs of the equations in 1 through 30. 1 througll 18,i...
 9.16: Sketch the graphs of the equations in 1 through 30. 1 througll 18,i...
 9.17: Sketch the graphs of the equations in 1 through 30. 1 througll 18,i...
 9.18: Sketch the graphs of the equations in 1 through 30. 1 througll 18,i...
 9.19: Sketch the graphs of the equations in 1 through 30. 1 througll 18,i...
 9.20: Sketch the graphs of the equations in 1 through 30. 1 througll 18,i...
 9.21: Sketch the graphs of the equations in 1 through 30. 1 througll 18,i...
 9.22: Sketch the graphs of the equations in 1 through 30. 1 througll 18,i...
 9.23: Sketch the graphs of the equations in 1 through 30. 1 througll 18,i...
 9.24: Sketch the graphs of the equations in 1 through 30. 1 througll 18,i...
 9.25: Sketch the graphs of the equations in 1 through 30. 1 througll 18,i...
 9.26: Sketch the graphs of the equations in 1 through 30. 1 througll 18,i...
 9.27: Sketch the graphs of the equations in 1 through 30. 1 througll 18,i...
 9.28: Sketch the graphs of the equations in 1 through 30. 1 througll 18,i...
 9.29: Sketch the graphs of the equations in 1 through 30. 1 througll 18,i...
 9.30: Sketch the graphs of the equations in 1 through 30. 1 througll 18,i...
 9.31: In 31 through 38, find the of the region described.
 9.32: In 31 through 38, find the of the region described.
 9.33: In 31 through 38, find the of the region described.
 9.34: In 31 through 38, find the of the region described.
 9.35: In 31 through 38, find the of the region described.
 9.36: In 31 through 38, find the of the region described.
 9.37: In 31 through 38, find the of the region described.
 9.38: In 31 through 38, find the of the region described.
 9.39: In 39 through 43, eliminate the parameter and sketch.
 9.40: In 39 through 43, eliminate the parameter and sketch.
 9.41: In 39 through 43, eliminate the parameter and sketch.
 9.42: In 39 through 43, eliminate the parameter and sketch.
 9.43: In 39 through 43, eliminate the parameter and sketch.
 9.44: In 44 through 48,write an equation of the line tangent to the given...
 9.45: In 44 through 48,write an equation of the line tangent to the given...
 9.46: In 44 through 48,write an equation of the line tangent to the given...
 9.47: In 44 through 48,write an equation of the line tangent to the given...
 9.48: In 44 through 48,write an equation of the line tangent to the given...
 9.49: In 49 through 52, find the area of the region between the given cur...
 9.50: In 49 through 52, find the area of the region between the given cur...
 9.51: In 49 through 52, find the area of the region between the given cur...
 9.52: In 49 through 52, find the area of the region between the given cur...
 9.53: In 53 through 57,Find the arc length of the given curve..
 9.54: In 53 through 57,Find the arc length of the given curve..
 9.55: In 53 through 57,Find the arc length of the given curve..
 9.56: In 53 through 57,Find the arc length of the given curve..
 9.57: In 53 through 57,Find the arc length of the given curve..
 9.58: In 58 through 62, fnd the area of the surfuce generated by revolvin...
 9.59: In 58 through 62, fnd the area of the surfuce generated by revolvin...
 9.60: In 58 through 62, fnd the area of the surfuce generated by revolvin...
 9.61: In 58 through 62, fnd the area of the surfuce generated by revolvin...
 9.62: In 58 through 62, fnd the area of the surfuce generated by revolvin...
 9.63: Consider the rolling circle of radius a tha! was used to generate t...
 9.64: Ifthe smaller circle ofProblern 3.1in Section 9.4 rolls around lhe ...
 9.65: Suppose that b : a in 6,1. Show that the epicycloid is then the car...
 9.66: Find the area of the surface generated by revolving the lemniscale ...
 9.67: Find the volurre generated by revolving around the ,r'axis the are...
 9.68: Show that the length ofone arch ofthe hypocycloid of in Section 9.4...
 9.69: Find a polarcoordinate equation oi the circle that passes through ...
 9.70: Find a simple equation of the parabola $'hose focus is the origin a...
 9.71: A diameter of an ellipse is a chord through its center. Find the ma...
 9.72: Use calculus to prove that the ellipse of Ploblem 7l is nornral to ...
 9.73: The parabolic arch of a bridge has base width 1, and height /l at i...
 9.74: Use methods of calculus to lind the points of the ellipse that are ...
 9.75: Consider a line segment 0R that contains a point P such that QPI: a...
 9.76: Suppose that a > 0 and that Fr and a2 are two f,xed points in the p...
 9.77: Let Qt and 02 be two points on the parabola y2 : 4 px. Let P be the...
 9.78: Determine the locus of a point P such that the product of its dista...
 9.79: Find the eccentricity of the conic section with equation 3x2y2+l2x...
 9.80: Find the area bounded by the loop of the strophoid r=sec92cos0 sho...
 9.81: Find the area bounded by the loop of the folium of Descartes with e...
 9.82: Use the method of to find the area bounded by the firstquadrant lo...
 9.83: The graph of a conic section in the jt)plane has intercepts at (5....
Solutions for Chapter 9: Calculus:Early Transcendentals 7th Edition
Full solutions for Calculus:Early Transcendentals  7th Edition
ISBN: 9780131569898
Solutions for Chapter 9
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Calculus:Early Transcendentals was written by and is associated to the ISBN: 9780131569898. Chapter 9 includes 83 full stepbystep solutions. This textbook survival guide was created for the textbook: Calculus:Early Transcendentals, edition: 7. Since 83 problems in chapter 9 have been answered, more than 9262 students have viewed full stepbystep solutions from this chapter.

Algebraic expression
A combination of variables and constants involving addition, subtraction, multiplication, division, powers, and roots

Compounded continuously
Interest compounded using the formula A = Pert

Difference of functions
(ƒ  g)(x) = ƒ(x)  g(x)

Exponent
See nth power of a.

Horizontal component
See Component form of a vector.

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

Inverse sine function
The function y = sin1 x

Logarithmic form
An equation written with logarithms instead of exponents

Logarithmic reexpression of data
Transformation of a data set involving the natural logarithm: exponential regression, natural logarithmic regression, power regression

Multiplication principle of probability
If A and B are independent events, then P(A and B) = P(A) # P(B). If Adepends on B, then P(A and B) = P(AB) # P(B)

NDER ƒ(a)
See Numerical derivative of ƒ at x = a.

Onetoone rule of logarithms
x = y if and only if logb x = logb y.

Random numbers
Numbers that can be used by researchers to simulate randomness in scientific studies (they are usually obtained from lengthy tables of decimal digits that have been generated by verifiably random natural phenomena).

Singular matrix
A square matrix with zero determinant

Stem
The initial digit or digits of a number in a stemplot.

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

Symmetric about the yaxis
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

Transitive property
If a = b and b = c , then a = c. Similar properties hold for the inequality symbols <, >, ?, ?.

Variable (in statistics)
A characteristic of individuals that is being identified or measured.

Wrapping function
The function that associates points on the unit circle with points on the real number line