 10.1: Sketch the parametric curve and eliminate the parameter to find the...
 10.2: Sketch the parametric curve and eliminate the parameter to find the...
 10.3: Sketch the parametric curve and eliminate the parameter to find the...
 10.4: Sketch the parametric curve and eliminate the parameter to find the...
 10.5: Write three different sets of parametric equations for the curve .
 10.6: Use the graphs of and to sketch the parametric curve , . Indicate w...
 10.7: (a) Plot the point with polar coordinates . Then find its Cartesian...
 10.8: Sketch the region consisting of points whose polar coordinates sati...
 10.9: Sketch the polar curve.
 10.10: Sketch the polar curve.
 10.11: Sketch the polar curve.
 10.12: Sketch the polar curve.
 10.13: Sketch the polar curve.
 10.14: Sketch the polar curve.
 10.15: Sketch the polar curve.
 10.16: Sketch the polar curve.
 10.17: Find a polar equation for the curve represented by the given Cartes...
 10.18: Find a polar equation for the curve represented by the given Cartes...
 10.19: The curve with polar equation is called a cochleoid. Use a graph of...
 10.20: Graph the ellipse and its directrix. Also graph the ellipse obtaine...
 10.21: Find the slope of the tangent line to the given curve at the point ...
 10.22: Find the slope of the tangent line to the given curve at the point ...
 10.23: Find the slope of the tangent line to the given curve at the point ...
 10.24: Find the slope of the tangent line to the given curve at the point ...
 10.27: Use a graph to estimate the coordinates of the lowest point on the ...
 10.28: Find the area enclosed by the loop of the curve in Exercise 27.
 10.29: At what points does the curve have vertical or horizontal tangents?...
 10.30: Find the area enclosed by the curve in Exercise 29.
 10.31: Find the area enclosed by the curve
 10.32: Find the area enclosed by the inner loop of the curve .
 10.33: Find the points of intersection of the curves
 10.34: Find the points of intersection of the curves and
 10.35: Find the area of the region that lies inside both of the circles
 10.36: Find the area of the region that lies inside the curve but outside ...
 10.37: Find the length of the curve.
 10.38: Find the length of the curve.
 10.39: Find the length of the curve.
 10.40: Find the length of the curve.
 10.41: Find the area of the surface obtained by rotating the given curve a...
 10.42: Find the area of the surface obtained by rotating the given curve a...
 10.43: The curves defined by the parametric equations are called strophoid...
 10.44: A family of curves has polar equations where is a positive number. ...
 10.45: Find the foci and vertices and sketch the graph.
 10.46: Find the foci and vertices and sketch the graph.
 10.47: Find the foci and vertices and sketch the graph.
 10.48: Find the foci and vertices and sketch the graph.
 10.49: Find an equation of the ellipse with foci and vertices
 10.50: Find an equation of the parabola with focus and directrix
 10.51: Find an equation of the hyperbola with foci and asymptotes
 10.52: Find an equation of the ellipse with foci and major axis with length 8
 10.53: Find an equation for the ellipse that shares a vertex and a focus w...
 10.54: Show that if is any real number, then there are exactly two lines o...
 10.55: Find a polar equation for the ellipse with focus at the origin, ecc...
 10.56: Show that the angles between the polar axis and the asymptotes of t...
 10.57: A curve called the folium of Descartes is defined by the parametric...
Solutions for Chapter 10: Calculus, 7th Edition
Full solutions for Calculus,  7th Edition
ISBN: 9780538497817
Solutions for Chapter 10
Get Full SolutionsChapter 10 includes 55 full stepbystep solutions. Calculus, was written by and is associated to the ISBN: 9780538497817. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus,, edition: 7. Since 55 problems in chapter 10 have been answered, more than 7093 students have viewed full stepbystep solutions from this chapter.

Anchor
See Mathematical induction.

Angle of depression
The acute angle formed by the line of sight (downward) and the horizontal

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

Characteristic polynomial of a square matrix A
det(xIn  A), where A is an n x n matrix

Continuous at x = a
lim x:a x a ƒ(x) = ƒ(a)

Continuous function
A function that is continuous on its entire domain

equation of a parabola
(x  h)2 = 4p(y  k) or (y  k)2 = 4p(x  h)

Even function
A function whose graph is symmetric about the yaxis for all x in the domain of ƒ.

Lefthand limit of f at x a
The limit of ƒ as x approaches a from the left.

Median (of a data set)
The middle number (or the mean of the two middle numbers) if the data are listed in order.

Natural exponential function
The function ƒ1x2 = ex.

Number line graph of a linear inequality
The graph of the solutions of a linear inequality (in x) on a number line

Parametric curve
The graph of parametric equations.

Permutations of n objects taken r at a time
There are nPr = n!1n  r2! such permutations

Scatter plot
A plot of all the ordered pairs of a twovariable data set on a coordinate plane.

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

Sum of an infinite series
See Convergence of a series

Terms of a sequence
The range elements of a sequence.

Tree diagram
A visualization of the Multiplication Principle of Probability.

Unbounded interval
An interval that extends to ? or ? (or both).