 10.2.1: 12 Find dyydx
 10.2.2: 12 Find dyydx
 10.2.3: 36 Find an equation of the tangent to the curve at the point corres...
 10.2.4: 36 Find an equation of the tangent to the curve at the point corres...
 10.2.5: 36 Find an equation of the tangent to the curve at the point corres...
 10.2.6: 36 Find an equation of the tangent to the curve at the point corres...
 10.2.7: 78 Find an equation of the tangent to the curve at the given point ...
 10.2.8: 78 Find an equation of the tangent to the curve at the given point ...
 10.2.9: 910 Find an equation of the tangent to the curve at the given point...
 10.2.10: 910 Find an equation of the tangent to the curve at the given point...
 10.2.11: 1116 Find dyydx and d2 yydx 2 . For which values of t is the curve ...
 10.2.12: 1116 Find dyydx and d2 yydx 2 . For which values of t is the curve ...
 10.2.13: 1116 Find dyydx and d2 yydx 2 . For which values of t is the curve ...
 10.2.14: 1116 Find dyydx and d2 yydx 2 . For which values of t is the curve ...
 10.2.15: 1116 Find dyydx and d2 yydx 2 . For which values of t is the curve ...
 10.2.16: 1116 Find dyydx and d2 yydx 2 . For which values of t is the curve ...
 10.2.17: 1720 Find the points on the curve where the tangent is horizontal o...
 10.2.18: 1720 Find the points on the curve where the tangent is horizontal o...
 10.2.19: 1720 Find the points on the curve where the tangent is horizontal o...
 10.2.20: 1720 Find the points on the curve where the tangent is horizontal o...
 10.2.21: Use a graph to estimate the coordinates of the rightmost point on t...
 10.2.22: Use a graph to estimate the coordinates of the lowest point and the...
 10.2.23: 2324 Graph the curve in a viewing rectangle that displays all the i...
 10.2.24: 2324 Graph the curve in a viewing rectangle that displays all the i...
 10.2.25: Show that the curve x cos t, y sin t cos t has two tangents at s0, ...
 10.2.26: Graph the curve x 22 cos t, y sin t 1 sin 2t to discover where it c...
 10.2.27: (a) Find the slope of the tangent line to the trochoid x r 2 d sin ...
 10.2.28: (a) Find the slope of the tangent to the astroid x a cos3 , y a sin...
 10.2.29: At what point(s) on the curve x 3t 2 1 1, y t 3 2 1 does the tangen...
 10.2.30: Find equations of the tangents to the curve x 3t 2 1 1, y 2t 3 1 1 ...
 10.2.31: Use the parametric equations of an ellipse, x a cos , y b sin , 0 <...
 10.2.32: Find the area enclosed by the curve x t 2 2 2t, y st and the yaxis
 10.2.33: Find the area enclosed by the xaxis and the curve x t 3 1 1, y 2t ...
 10.2.34: Find the area of the region enclosed by the astroid x a cos3 , y a ...
 10.2.35: Find the area under one arch of the trochoid of Exercise 10.1.40 fo...
 10.2.36: Let 5 be the region enclosed by the loop of the curve in Example 1....
 10.2.37: 3740 Set up an integral that represents the length of the curve. Th...
 10.2.38: 3740 Set up an integral that represents the length of the curve. Th...
 10.2.39: 3740 Set up an integral that represents the length of the curve. Th...
 10.2.40: 3740 Set up an integral that represents the length of the curve. Th...
 10.2.41: 4144 Find the exact length of the curve.
 10.2.42: 4144 Find the exact length of the curve.
 10.2.43: 4144 Find the exact length of the curve.
 10.2.44: 4144 Find the exact length of the curve.
 10.2.45: 4546 Graph the curve and find its exact length.
 10.2.46: 4546 Graph the curve and find its exact length.
 10.2.47: Graph the curve x sin t 1 sin 1.5t, y cos t and find its length cor...
 10.2.48: Find the length of the loop of the curve x 3t 2 t 3 , y 3t 2
 10.2.49: Use Simpsons Rule with n 6 to estimate the length of the curve x t ...
 10.2.50: In Exercise 10.1.43 you were asked to derive the parametric equatio...
 10.2.51: 5152 Find the distance traveled by a particle with position sx, yd ...
 10.2.52: 5152 Find the distance traveled by a particle with position sx, yd ...
 10.2.53: Show that the total length of the ellipse x a sin , y b cos , a . b...
 10.2.54: Find the total length of the astroid x a cos3 , y a sin3 , where a ...
 10.2.55: (a) Graph the epitrochoid with equations x 11 cos t 2 4 coss11ty2d ...
 10.2.56: A curve called Cornus spiral is defined by the parametric equations...
 10.2.57: 5760 Set up an integral that represents the area of the surface obt...
 10.2.58: 5760 Set up an integral that represents the area of the surface obt...
 10.2.59: 5760 Set up an integral that represents the area of the surface obt...
 10.2.60: 5760 Set up an integral that represents the area of the surface obt...
 10.2.61: 6163 Find the exact area of the surface obtained by rotating the gi...
 10.2.62: 6163 Find the exact area of the surface obtained by rotating the gi...
 10.2.63: 6163 Find the exact area of the surface obtained by rotating the gi...
 10.2.64: Graph the curve x 2 cos 2 cos 2 y 2 sin 2 sin 2 If this curve is ro...
 10.2.65: 6566 Find the surface area generated by rotating the given curve ab...
 10.2.66: 6566 Find the surface area generated by rotating the given curve ab...
 10.2.67: If f9 is continuous and f9std 0 for a < t < b, show that the parame...
 10.2.68: Use Formula 1 to derive Formula 6 from Formula 8.2.5 for the case i...
 10.2.69: Use Formula 1 to derive Formula 6 from Formula 8.2.5 for the case i...
 10.2.70: (a) Use the formula in Exercise 69(b) to find the curvature of the ...
 10.2.71: Use the formula in Exercise 69(a) to find the curvature of the cycl...
 10.2.72: (a) Show that the curvature at each point of a straight line is 0. ...
 10.2.73: A string is wound around a circle and then unwound while being held...
 10.2.74: A cow is tied to a silo with radius r by a rope just long enough to...
Solutions for Chapter 10.2: Calculus with Parametric Curves
Full solutions for Single Variable Calculus: Early Transcendentals  8th Edition
ISBN: 9781305270336
Solutions for Chapter 10.2: Calculus with Parametric Curves
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Single Variable Calculus: Early Transcendentals, edition: 8. Since 74 problems in chapter 10.2: Calculus with Parametric Curves have been answered, more than 39743 students have viewed full stepbystep solutions from this chapter. Single Variable Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781305270336. Chapter 10.2: Calculus with Parametric Curves includes 74 full stepbystep solutions.

Cone
See Right circular cone.

Difference of complex numbers
(a + bi)  (c + di) = (a  c) + (b  d)i

Direct variation
See Power function.

Fibonacci numbers
The terms of the Fibonacci sequence.

Fitting a line or curve to data
Finding a line or curve that comes close to passing through all the points in a scatter plot.

Higherdegree polynomial function
A polynomial function whose degree is ? 3

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

Identity
An equation that is always true throughout its domain.

Implied domain
The domain of a function’s algebraic expression.

Independent events
Events A and B such that P(A and B) = P(A)P(B)

Index
See Radical.

Logistic growth function
A model of population growth: ƒ1x2 = c 1 + a # bx or ƒ1x2 = c1 + aekx, where a, b, c, and k are positive with b < 1. c is the limit to growth

Logistic regression
A procedure for fitting a logistic curve to a set of data

Magnitude of a vector
The magnitude of <a, b> is 2a2 + b2. The magnitude of <a, b, c> is 2a2 + b2 + c2

Rectangular coordinate system
See Cartesian coordinate system.

Response variable
A variable that is affected by an explanatory variable.

Sequence of partial sums
The sequence {Sn} , where Sn is the nth partial sum of the series, that is, the sum of the first n terms of the series.

Symmetric property of equality
If a = b, then b = a

Venn diagram
A visualization of the relationships among events within a sample space.

Xmin
The xvalue of the left side of the viewing window,.