 7.AAE.1AAE: Let A(t) be the area of the region in the first quadrant enclosed b...
 7.AAE.2AAE: Varying a logarithm’s basea.Find b. Graph y = loga 2 as a function ...
 7.AAE.3AAE: Graph f(x) = tan1 x + tan1(1/x) for . Then use calculus to explai...
 7.AAE.4AAE: Graph f(x) = (sin x)sin x over [0, 3?]. Explain what you see.
 7.AAE.5AAE: Evenodd decompositionsa. Suppose that g is an even function of x a...
 7.AAE.6AAE: Let g be a function that is differentiable throughout an open inter...
 7.AAE.7AAE: Center of mass Find the center of mass of a thin plate of constant ...
 7.AAE.8AAE: Solid of revolution The region between the curve and the xaxis fro...
 7.AAE.9AAE: The Rule of 70 If you use the approximation (in place of 0.69314 . ...
 7.AAE.10AAE: Urban gardening A vegetable garden 50 ft wide is to be grown betwee...
Solutions for Chapter 7.AAE: University Calculus: Early Transcendentals 2nd Edition
Full solutions for University Calculus: Early Transcendentals  2nd Edition
ISBN: 9780321717399
Solutions for Chapter 7.AAE
Get Full SolutionsChapter 7.AAE includes 10 full stepbystep solutions. University Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321717399. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: University Calculus: Early Transcendentals , edition: 2. Since 10 problems in chapter 7.AAE have been answered, more than 61926 students have viewed full stepbystep solutions from this chapter.

Continuous at x = a
lim x:a x a ƒ(x) = ƒ(a)

Doubleblind experiment
A blind experiment in which the researcher gathering data from the subjects is not told which subjects have received which treatment

Factoring (a polynomial)
Writing a polynomial as a product of two or more polynomial factors.

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

Horizontal line
y = b.

Inductive step
See Mathematical induction.

Interval
Connected subset of the real number line with at least two points, p. 4.

Onetoone rule of exponents
x = y if and only if bx = by.

Period
See Periodic function.

Permutations of n objects taken r at a time
There are nPr = n!1n  r2! such permutations

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

Quadratic formula
The formula x = b 2b2  4ac2a used to solve ax 2 + bx + c = 0.

Radian
The measure of a central angle whose intercepted arc has a length equal to the circle’s radius.

Reflection
Two points that are symmetric with respect to a lineor a point.

Reflection across the yaxis
x, y and (x,y) are reflections of each other across the yaxis.

Shrink of factor c
A transformation of a graph obtained by multiplying all the xcoordinates (horizontal shrink) by the constant 1/c or all of the ycoordinates (vertical shrink) by the constant c, 0 < c < 1.

Standard form of a polar equation of a conic
r = ke 1 e cos ? or r = ke 1 e sin ? ,

Sum of a finite geometric series
Sn = a111  r n 2 1  r

Upper bound for real zeros
A number d is an upper bound for the set of real zeros of ƒ if ƒ(x) ? 0 whenever x > d.

xyplane
The points x, y, 0 in Cartesian space.