 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 Sieva Kozinsky 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 3636 students have viewed full stepbystep solutions from this chapter.

Argument of a complex number
The argument of a + bi is the direction angle of the vector {a,b}.

Bounded above
A function is bounded above if there is a number B such that ƒ(x) ? B for all x in the domain of ƒ.

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

Completing the square
A method of adding a constant to an expression in order to form a perfect square

Doubleblind experiment
A blind experiment in which the researcher gathering data from the subjects is not told which subjects have received which treatment

equation of a hyperbola
(x  h)2 a2  (y  k)2 b2 = 1 or (y  k)2 a2  (x  h)2 b2 = 1

Factoring (a polynomial)
Writing a polynomial as a product of two or more polynomial factors.

Identity function
The function ƒ(x) = x.

Lemniscate
A graph of a polar equation of the form r2 = a2 sin 2u or r 2 = a2 cos 2u.

Linear combination of vectors u and v
An expression au + bv , where a and b are real numbers

Multiplicative inverse of a matrix
See Inverse of a matrix

Multiplicative inverse of a real number
The reciprocal of b, or 1/b, b Z 0

Numerical model
A model determined by analyzing numbers or data in order to gain insight into a phenomenon, p. 64.

Slopeintercept form (of a line)
y = mx + b

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 matrix
A matrix A = [aij] with the property aij = aji for all i and j

Translation
See Horizontal translation, Vertical translation.

Velocity
A vector that specifies the motion of an object in terms of its speed and direction.

Vertical asymptote
The line x = a is a vertical asymptote of the graph of the function ƒ if limx:a+ ƒ1x2 = q or lim x:a ƒ1x2 = q.

Work
The product of a force applied to an object over a given distance W = ƒFƒ ƒAB!ƒ.
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