 11.AAE.1AAE: Submarine hunting Two surface ships on maneuvers are trying to dete...
 11.AAE.2AAE: A helicopter rescue Two helicopters, H1 and H2, are traveling toget...
 11.AAE.3AAE: Torque The operator’s manual for the Toro® 21in. lawnmower says “t...
 11.AAE.4AAE: Rotating body The line through the origin and the point A(1, 1, 1) ...
 11.AAE.5AAE: Consider the weight suspended by two wires in each diagram. Find th...
 11.AAE.6AAE: Consider a weight of w N suspended by two wires in the diagram, whe...
 11.AAE.7AAE: Determinants and planesa. Show that is an equation for the plane th...
 11.AAE.8AAE: Determinants and lines Show that the lines intersect or are paralle...
 11.AAE.10AAE: In the figure here, D is the midpoint of side AB of triangle ABC, a...
 11.AAE.11AAE: Use vectors to show that the distance from P1(x1, y1) to the line a...
 11.AAE.12AAE: a. Use vectors to show that the distance from P1(x1, y1, z1) to the...
 11.AAE.13AAE: a. Show that the distance between the parallel planes Ax + By + Cz ...
 11.AAE.14AAE: Prove that four points A, B, C, and D are coplanar (lie in a common...
 11.AAE.15AAE: The projection of a vector on a plane Let P be a plane in space and...
 11.AAE.16AAE: The accompanying figure shows nonzero vectors v, w, and z, with z o...
 11.AAE.17AAE: Triple vector products The triple vector products (u x v) x w and u...
 11.AAE.18AAE: Cross and dot products Show that if u, v, w, and r are any vectors,...
 11.AAE.19AAE: Cross and dot products Prove or disprove the formula
 11.AAE.20AAE: By forming the cross product of two appropriate vectors, derive the...
 11.AAE.21AAE: Use vectors to prove that for any four numbers a, b, c, and d. (Hin...
 11.AAE.22AAE: Show that w = v u + u v bisects the angle between u and v.
 11.AAE.23AAE: Show that for any vectors u and v.
 11.AAE.24AAE: Show that  v  u +  u  v and  v  u   u  v are orthogonal.
Solutions for Chapter 11.AAE: University Calculus: Early Transcendentals 2nd Edition
Full solutions for University Calculus: Early Transcendentals  2nd Edition
ISBN: 9780321717399
Solutions for Chapter 11.AAE
Get Full SolutionsThis textbook survival guide was created for the textbook: University Calculus: Early Transcendentals , edition: 2. This expansive textbook survival guide covers the following chapters and their solutions. University Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321717399. Since 23 problems in chapter 11.AAE have been answered, more than 61958 students have viewed full stepbystep solutions from this chapter. Chapter 11.AAE includes 23 full stepbystep solutions.

Convergence of a sequence
A sequence {an} converges to a if limn: q an = a

Course
See Bearing.

Directed line segment
See Arrow.

Discriminant
For the equation ax 2 + bx + c, the expression b2  4ac; for the equation Ax2 + Bxy + Cy2 + Dx + Ey + F = 0, the expression B2  4AC

Even function
A function whose graph is symmetric about the yaxis for all x in the domain of ƒ.

Fibonacci numbers
The terms of the Fibonacci sequence.

Graph of parametric equations
The set of all points in the coordinate plane corresponding to the ordered pairs determined by the parametric equations.

Implicitly defined function
A function that is a subset of a relation defined by an equation in x and y.

Lower bound of f
Any number b for which b < ƒ(x) for all x in the domain of ƒ

Modulus
See Absolute value of a complex number.

Radian measure
The measure of an angle in radians, or, for a central angle, the ratio of the length of the intercepted arc tothe radius of the circle.

Relevant domain
The portion of the domain applicable to the situation being modeled.

Resolving a vector
Finding the horizontal and vertical components of a vector.

Semimajor axis
The distance from the center to a vertex of an ellipse.

Sine
The function y = sin x.

Sum identity
An identity involving a trigonometric function of u + v

Trigonometric form of a complex number
r(cos ? + i sin ?)

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

Viewing window
The rectangular portion of the coordinate plane specified by the dimensions [Xmin, Xmax] by [Ymin, Ymax].

Zero factor property
If ab = 0 , then either a = 0 or b = 0.