 10.3.1: In Exercises 14, (a) find the component form of the vector and (b) ...
 10.3.2: In Exercises 14, (a) find the component form of the vector and (b) ...
 10.3.3: In Exercises 14, (a) find the component form of the vector and (b) ...
 10.3.4: In Exercises 14, (a) find the component form of the vector and (b) ...
 10.3.5: In Exercises 5 8, find the vectors and whose initial and terminal p...
 10.3.6: In Exercises 5 8, find the vectors and whose initial and terminal p...
 10.3.7: In Exercises 5 8, find the vectors and whose initial and terminal p...
 10.3.8: In Exercises 5 8, find the vectors and whose initial and terminal p...
 10.3.9: In Exercises 916, the initial and terminal points of a vector are g...
 10.3.10: In Exercises 916, the initial and terminal points of a vector are g...
 10.3.11: In Exercises 916, the initial and terminal points of a vector are g...
 10.3.12: In Exercises 916, the initial and terminal points of a vector are g...
 10.3.13: In Exercises 916, the initial and terminal points of a vector are g...
 10.3.14: In Exercises 916, the initial and terminal points of a vector are g...
 10.3.15: In Exercises 916, the initial and terminal points of a vector are g...
 10.3.16: In Exercises 916, the initial and terminal points of a vector are g...
 10.3.17: In Exercises 17 and 18, sketch each scalar multiple of v
 10.3.18: In Exercises 17 and 18, sketch each scalar multiple of v
 10.3.19: In Exercises 1922, use the figure to sketch a graph of the vector. ...
 10.3.20: In Exercises 1922, use the figure to sketch a graph of the vector. ...
 10.3.21: In Exercises 1922, use the figure to sketch a graph of the vector. ...
 10.3.22: In Exercises 1922, use the figure to sketch a graph of the vector. ...
 10.3.23: In Exercises 23 and 24, find (a) (b) and (c) 2u 1 5v
 10.3.24: In Exercises 23 and 24, find (a) (b) and (c) 2u 1 5v
 10.3.25: In Exercises 2528, find the vector where and Illustrate the vector ...
 10.3.26: In Exercises 2528, find the vector where and Illustrate the vector ...
 10.3.27: In Exercises 2528, find the vector where and Illustrate the vector ...
 10.3.28: In Exercises 2528, find the vector where and Illustrate the vector ...
 10.3.29: In Exercises 29 and 30, the vector and its initial point are given....
 10.3.30: In Exercises 29 and 30, the vector and its initial point are given....
 10.3.31: In Exercises 3136, find the magnitude of vv 7i
 10.3.32: In Exercises 3136, find the magnitude of vv 3i
 10.3.33: In Exercises 3136, find the magnitude of v
 10.3.34: In Exercises 3136, find the magnitude of v
 10.3.35: In Exercises 3136, find the magnitude of v
 10.3.36: In Exercises 3136, find the magnitude of vv 10i 3j
 10.3.37: In Exercises 3740, find the unit vector in the direction of and ver...
 10.3.38: In Exercises 3740, find the unit vector in the direction of and ver...
 10.3.39: In Exercises 3740, find the unit vector in the direction of and ver...
 10.3.40: In Exercises 3740, find the unit vector in the direction of and ver...
 10.3.41: In Exercises 41 44, find the following.u 1, 1 u
 10.3.42: In Exercises 41 44, find the following.u 0, 1
 10.3.43: In Exercises 41 44, find the following.u 1, u 2, 4 12v
 10.3.44: In Exercises 41 44, find the following.
 10.3.45: In Exercises 45 and 46, sketch a graph of and Then demonstrate the ...
 10.3.46: In Exercises 45 and 46, sketch a graph of and Then demonstrate the ...
 10.3.47: In Exercises 4750, find the vector with the given magnitude and the...
 10.3.48: In Exercises 4750, find the vector with the given magnitude and the...
 10.3.49: In Exercises 4750, find the vector with the given magnitude and the...
 10.3.50: In Exercises 4750, find the vector with the given magnitude and the...
 10.3.51: In Exercises 5154, find the component form of given its magnitude a...
 10.3.52: In Exercises 5154, find the component form of given its magnitude a...
 10.3.53: In Exercises 5154, find the component form of given its magnitude a...
 10.3.54: In Exercises 5154, find the component form of given its magnitude a...
 10.3.55: In Exercises 5558, find the component form of given the lengths of ...
 10.3.56: In Exercises 5558, find the component form of given the lengths of ...
 10.3.57: In Exercises 5558, find the component form of given the lengths of ...
 10.3.58: In Exercises 5558, find the component form of given the lengths of ...
 10.3.59: In your own words, state the difference between a scalar and a vect...
 10.3.60: Give geometric descriptions of the operations of addition of vector...
 10.3.61: Identify the quantity as a scalar or as a vector. Explain your reas...
 10.3.62: Identify the quantity as a scalar or as a vector. Explain your reas...
 10.3.63: In Exercises 6368, find and such that where and w 1, 1.v 2, 1
 10.3.64: In Exercises 6368, find and such that where and w 1, 1.v 0, 3
 10.3.65: In Exercises 6368, find and such that where and w 1, 1. 3, 0
 10.3.66: In Exercises 6368, find and such that where and w 1, 1.v 3, 3
 10.3.67: In Exercises 6368, find and such that where and w 1, 1.
 10.3.68: In Exercises 6368, find and such that where and w 1, 1.v 1, 7
 10.3.69: In Exercises 6974, find a unit vector (a) parallel to and (b) perpe...
 10.3.70: In Exercises 6974, find a unit vector (a) parallel to and (b) perpe...
 10.3.71: In Exercises 6974, find a unit vector (a) parallel to and (b) perpe...
 10.3.72: In Exercises 6974, find a unit vector (a) parallel to and (b) perpe...
 10.3.73: In Exercises 6974, find a unit vector (a) parallel to and (b) perpe...
 10.3.74: In Exercises 6974, find a unit vector (a) parallel to and (b) perpe...
 10.3.75: In Exercises 75 and 76, find the component form of v given the magn...
 10.3.76: In Exercises 75 and 76, find the component form of v given the magn...
 10.3.77: Programming You are given the magnitudes of and and the angles that...
 10.3.78: The initial and terminal points of vector are and respectively. (a)...
 10.3.79: In Exercises 79 and 80, use a graphing utility to find the magnitud...
 10.3.80: In Exercises 79 and 80, use a graphing utility to find the magnitud...
 10.3.81: Resultant Force Forces with magnitudes of 500 pounds and 200 pounds...
 10.3.82: Numerical and Graphical Analysis Forces with magnitudes of 180 newt...
 10.3.83: Resultant Force Three forces with magnitudes of 75 pounds, 100 poun...
 10.3.84: Resultant Force Three forces with magnitudes of 400 newtons, 280 ne...
 10.3.85: Think About It Consider two forces of equal magnitude acting on a p...
 10.3.86: Graphical Reasoning Consider two forces and (a) Find (b) Determine ...
 10.3.87: Three vertices of a parallelogram are Find the three possible fourt...
 10.3.88: Use vectors to find the points of trisection of the line segment wi...
 10.3.89: Cable Tension In Exercises 89 and 90, use the figure to determine t...
 10.3.90: Cable Tension In Exercises 89 and 90, use the figure to determine t...
 10.3.91: Projectile Motion A gun with a muzzle velocity of 1200 feet per sec...
 10.3.92: Shared Load To carry a 100pound cylindrical weight, two workers li...
 10.3.93: Navigation A plane is flying with a bearing of Its speed with respe...
 10.3.94: Navigation A plane flies at a constant groundspeed of 400 miles per...
 10.3.95: True or False? In Exercises 95100, determine whether the statement ...
 10.3.96: True or False? In Exercises 95100, determine whether the statement ...
 10.3.97: True or False? In Exercises 95100, determine whether the statement ...
 10.3.98: True or False? In Exercises 95100, determine whether the statement ...
 10.3.99: True or False? In Exercises 95100, determine whether the statement ...
 10.3.100: True or False? In Exercises 95100, determine whether the statement ...
 10.3.101: Prove that and are unit vectors for any angle
 10.3.102: Geometry Using vectors, prove that the line segment joining the mid...
 10.3.103: Geometry Using vectors, prove that the diagonals of a parallelogram...
 10.3.104: Prove that the vector bisects the angle between and v
 10.3.105: Consider the vector Describe the set of all points x, y such that u 5.
Solutions for Chapter 10.3: Parametric Equations and Calculus
Full solutions for Calculus  9th Edition
ISBN: 9780547167022
Solutions for Chapter 10.3: Parametric Equations and Calculus
Get Full SolutionsChapter 10.3: Parametric Equations and Calculus includes 105 full stepbystep solutions. Calculus was written by and is associated to the ISBN: 9780547167022. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus , edition: 9. Since 105 problems in chapter 10.3: Parametric Equations and Calculus have been answered, more than 61658 students have viewed full stepbystep solutions from this chapter.

Absolute minimum
A value ƒ(c) is an absolute minimum value of ƒ if ƒ(c) ? ƒ(x)for all x in the domain of ƒ.

Annual percentage rate (APR)
The annual interest rate

Elementary row operations
The following three row operations: Multiply all elements of a row by a nonzero constant; interchange two rows; and add a multiple of one row to another row

First octant
The points (x, y, z) in space with x > 0 y > 0, and z > 0.

Horizontal asymptote
The line is a horizontal asymptote of the graph of a function ƒ if lim x: q ƒ(x) = or lim x: q ƒ(x) = b

Instantaneous rate of change
See Derivative at x = a.

Length of a vector
See Magnitude of a vector.

Linear regression equation
Equation of a linear regression line

Linear system
A system of linear equations

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

Nautical mile
Length of 1 minute of arc along the Earth’s equator.

Polar coordinates
The numbers (r, ?) that determine a point’s location in a polar coordinate system. The number r is the directed distance and ? is the directed angle

Quadratic equation in x
An equation that can be written in the form ax 2 + bx + c = 01a ? 02

Quartic function
A degree 4 polynomial function.

Remainder theorem
If a polynomial f(x) is divided by x  c , the remainder is ƒ(c)

Sample space
Set of all possible outcomes of an experiment.

Solution of a system in two variables
An ordered pair of real numbers that satisfies all of the equations or inequalities in the system

Third quartile
See Quartile.

Translation
See Horizontal translation, Vertical translation.

Vertex of a parabola
The point of intersection of a parabola and its line of symmetry.