 4.8.1: For Exercises 14, use the graphs of f and g to describe the motion ...
 4.8.2: For Exercises 14, use the graphs of f and g to describe the motion ...
 4.8.3: For Exercises 14, use the graphs of f and g to describe the motion ...
 4.8.4: For Exercises 14, use the graphs of f and g to describe the motion ...
 4.8.5: In Exercises 511, write a parameterization for the curves in the xy...
 4.8.6: In Exercises 511, write a parameterization for the curves in the xy...
 4.8.7: In Exercises 511, write a parameterization for the curves in the xy...
 4.8.8: In Exercises 511, write a parameterization for the curves in the xy...
 4.8.9: In Exercises 511, write a parameterization for the curves in the xy...
 4.8.10: In Exercises 511, write a parameterization for the curves in the xy...
 4.8.11: In Exercises 511, write a parameterization for the curves in the xy...
 4.8.12: Exercises 1217 give parameterizations of the unit circle or a part ...
 4.8.13: Exercises 1217 give parameterizations of the unit circle or a part ...
 4.8.14: Exercises 1217 give parameterizations of the unit circle or a part ...
 4.8.15: Exercises 1217 give parameterizations of the unit circle or a part ...
 4.8.16: Exercises 1217 give parameterizations of the unit circle or a part ...
 4.8.17: Exercises 1217 give parameterizations of the unit circle or a part ...
 4.8.18: In Exercises 1820, what curves do the parametric equations trace ou...
 4.8.19: In Exercises 1820, what curves do the parametric equations trace ou...
 4.8.20: In Exercises 1820, what curves do the parametric equations trace ou...
 4.8.21: In Exercises 2126, the parametric equations describe the motion of ...
 4.8.22: In Exercises 2126, the parametric equations describe the motion of ...
 4.8.23: In Exercises 2126, the parametric equations describe the motion of ...
 4.8.24: In Exercises 2126, the parametric equations describe the motion of ...
 4.8.25: In Exercises 2126, the parametric equations describe the motion of ...
 4.8.26: In Exercises 2126, the parametric equations describe the motion of ...
 4.8.27: In Exercises 2729, find an equation of the tangent line to the curv...
 4.8.28: In Exercises 2729, find an equation of the tangent line to the curv...
 4.8.29: In Exercises 2729, find an equation of the tangent line to the curv...
 4.8.30: For Exercises 3033, find the speed for the given motion of a partic...
 4.8.31: For Exercises 3033, find the speed for the given motion of a partic...
 4.8.32: For Exercises 3033, find the speed for the given motion of a partic...
 4.8.33: For Exercises 3033, find the speed for the given motion of a partic...
 4.8.34: Find parametric equations for the tangent line at t = 2 for 30.
 4.8.35: 3536 show motion twice around a square, beginning at the origin at ...
 4.8.36: 3536 show motion twice around a square, beginning at the origin at ...
 4.8.37: A line is parameterized by x = 10 + t and y = 2t. (a) What part of ...
 4.8.38: A line is parameterized by x =2+3t and y =4+7t. (a) What part of th...
 4.8.39: (a) Explain how you know that the following two pairs of equations ...
 4.8.40: Describe the similarities and differences among the motions in the ...
 4.8.41: What can you say about the values of a, b and k if the equations x ...
 4.8.42: Suppose a, b, c, d, m, n, p, q > 0. Match each pair of parametric e...
 4.8.43: Describe in words the curve represented by the parametric equations...
 4.8.44: (a) Sketch the parameterized curve x = t cos t, y = t sin t for 0 t...
 4.8.45: The position of a particle at time t is given by x = et and y = 2e2...
 4.8.46: For x and y in meters, the motion of the particle given by x = t 3 ...
 4.8.47: At time t, the position of a particle moving on a curve is given by...
 4.8.48: Figure 4.111 shows the graph of a parameterized curve x = f(t), y =...
 4.8.49: At time t, the position of a particle is x(t) = 5 sin(2t) and y(t) ...
 4.8.50: At time t, the position of a particle is x(t) = 5 sin(2t) and y(t) ...
 4.8.51: Two particles move in the xyplane. At time t, the position of part...
 4.8.52: (a) Find d2y/dx2 for x = t 3 + t, y = t 2. (b) Is the curve concave...
 4.8.53: (a) An object moves along the path x = 3t and y = cos(2t), where t ...
 4.8.54: The position of a particle at time t is given by x = et + 3 and y =...
 4.8.55: A particle moves in the xyplane so that its position at time t is ...
 4.8.56: Derive the general formula for the second derivative d2y/dx2 of a p...
 4.8.57: Graph the Lissajous figures in 5760 using a calculator or computer.
 4.8.58: Graph the Lissajous figures in 5760 using a calculator or computer.
 4.8.59: Graph the Lissajous figures in 5760 using a calculator or computer.
 4.8.60: Graph the Lissajous figures in 5760 using a calculator or computer.
 4.8.61: A hypothetical moon orbits a planet which in turn orbits a star. Su...
 4.8.62: In 6263, explain what is wrong with the statement.
 4.8.63: In 6263, explain what is wrong with the statement.
 4.8.64: A parameterization of a quarter circle centered at the origin of ra...
 4.8.65: A parameterization of the line segment between (0, 0) and (1, 2).
 4.8.66: Are the statements in 6667 true of false? Give an explanation for y...
 4.8.67: Are the statements in 6667 true of false? Give an explanation for y...
Solutions for Chapter 4.8: PARAMETRIC EQUATIONS
Full solutions for Calculus: Single Variable  6th Edition
ISBN: 9780470888643
Solutions for Chapter 4.8: PARAMETRIC EQUATIONS
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Since 67 problems in chapter 4.8: PARAMETRIC EQUATIONS have been answered, more than 35195 students have viewed full stepbystep solutions from this chapter. Calculus: Single Variable was written by and is associated to the ISBN: 9780470888643. This textbook survival guide was created for the textbook: Calculus: Single Variable , edition: 6. Chapter 4.8: PARAMETRIC EQUATIONS includes 67 full stepbystep solutions.

Annual percentage rate (APR)
The annual interest rate

Bearing
Measure of the clockwise angle that the line of travel makes with due north

Boxplot (or boxandwhisker plot)
A graph that displays a fivenumber summary

Coefficient matrix
A matrix whose elements are the coefficients in a system of linear equations

Confounding variable
A third variable that affects either of two variables being studied, making inferences about causation unreliable

Directed angle
See Polar coordinates.

Exponent
See nth power of a.

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

Infinite limit
A special case of a limit that does not exist.

Integrable over [a, b] Lba
ƒ1x2 dx exists.

Limit to growth
See Logistic growth function.

Mean (of a set of data)
The sum of all the data divided by the total number of items

Midpoint (in a coordinate plane)
For the line segment with endpoints (a,b) and (c,d), (aa + c2 ,b + d2)

Monomial function
A polynomial with exactly one term.

Parametric equations for a line in space
The line through P0(x 0, y0, z 0) in the direction of the nonzero vector v = <a, b, c> has parametric equations x = x 0 + at, y = y 0 + bt, z = z0 + ct.

Phase shift
See Sinusoid.

Pie chart
See Circle graph.

Power regression
A procedure for fitting a curve y = a . x b to a set of data.

Remainder polynomial
See Division algorithm for polynomials.

Triangular number
A number that is a sum of the arithmetic series 1 + 2 + 3 + ... + n for some natural number n.