 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 and
 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
 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 direc
 10.51: Find an equation of the hyperbola with foci and
 10.52: Find an equation of the ellipse with foci and major axis with lengt...
 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
 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: Single Variable Calculus 7th Edition
Full solutions for Single Variable Calculus  7th Edition
ISBN: 9780538497831
Solutions for Chapter 10
Get Full SolutionsSingle Variable Calculus was written by and is associated to the ISBN: 9780538497831. This textbook survival guide was created for the textbook: Single Variable Calculus, edition: 7. Chapter 10 includes 55 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 55 problems in chapter 10 have been answered, more than 5202 students have viewed full stepbystep solutions from this chapter.

Branches
The two separate curves that make up a hyperbola

Conversion factor
A ratio equal to 1, used for unit conversion

Direct variation
See Power function.

Equilibrium price
See Equilibrium point.

Extracting square roots
A method for solving equations in the form x 2 = k.

Future value of an annuity
The net amount of money returned from an annuity.

Index of summation
See Summation notation.

Inverse variation
See Power function.

Logarithmic form
An equation written with logarithms instead of exponents

Onetoone function
A function in which each element of the range corresponds to exactly one element in the domain

Parametrization
A set of parametric equations for a curve.

Projectile motion
The movement of an object that is subject only to the force of gravity

Pythagorean
Theorem In a right triangle with sides a and b and hypotenuse c, c2 = a2 + b2

Reflection through the origin
x, y and (x,y) are reflections of each other through the origin.

Regression model
An equation found by regression and which can be used to predict unknown values.

Upper bound test for real zeros
A test for finding an upper bound for the real zeros of a polynomial.

Vertical stretch or shrink
See Stretch, Shrink.

Window dimensions
The restrictions on x and y that specify a viewing window. See Viewing window.

xaxis
Usually the horizontal coordinate line in a Cartesian coordinate system with positive direction to the right,.

xzplane
The points x, 0, z in Cartesian space.