 3.2.1: In 14, show that each function is continuous at the given value. f ...
 3.2.2: In 14, show that each function is continuous at the given value. f ...
 3.2.3: In 14, show that each function is continuous at the given value. f ...
 3.2.4: In 14, show that each function is continuous at the given value. f ...
 3.2.5: Show that f (x) = x2 x 2 x 2 if x _= 2 3 ifx = 2 is continuous at x...
 3.2.6: Show that f (x) = 2x2 + x 6 x + 2 if x _= 2 7 ifx = 2 is continuous...
 3.2.7: Let f (x) = _ x2 9 x 3 if x _= 3 Which value must you assign to a s...
 3.2.8: Let f (x) = x2 + x 2 x 1 if x _= 1 a if x = 1 Which value must you ...
 3.2.9: In 912, determine at which points f (x) is discontinuous. f (x) = 1...
 3.2.10: In 912, determine at which points f (x) is discontinuous. f (x) = 1...
 3.2.11: In 912, determine at which points f (x) is discontinuous. f (x) = x...
 3.2.12: In 912, determine at which points f (x) is discontinuous. f (x) = _...
 3.2.13: Show that the floor function f (x) = _x_ is continuous at x = 5/2 b...
 3.2.14: Show that the floor function f (x) = _x_ is continuous from the rig...
 3.2.15: In 1524, find the values of x R for which the given functions are c...
 3.2.16: In 1524, find the values of x R for which the given functions are c...
 3.2.17: In 1524, find the values of x R for which the given functions are c...
 3.2.18: In 1524, find the values of x R for which the given functions are c...
 3.2.19: In 1524, find the values of x R for which the given functions are c...
 3.2.20: In 1524, find the values of x R for which the given functions are c...
 3.2.21: In 1524, find the values of x R for which the given functions are c...
 3.2.22: In 1524, find the values of x R for which the given functions are c...
 3.2.23: In 1524, find the values of x R for which the given functions are c...
 3.2.24: In 1524, find the values of x R for which the given functions are c...
 3.2.25: Let f (x) = _ x2 + 2 for x 0 x + c for x > 0 (a) Graph f (x) when c...
 3.2.26: Let f (x) = 1 x for x 1 2x + c for x < 1 (a) Graph f (x) when c = 0...
 3.2.27: (a) Show that f (x) = _ x 1, x 1 is continuous from the right at x ...
 3.2.28: (a) Show that f (x) = _ x2 4, x 2 is continuous from the right at...
 3.2.29: In 2948, find the limits. lim x/3 sin _ x 2 _
 3.2.30: In 2948, find the limits. lim x/2 cos(2x)
 3.2.31: In 2948, find the limits. lim x/2 cos2 x 1 sin2 x
 3.2.32: In 2948, find the limits. lim x/2 1 + tan2 x sec2 x
 3.2.33: In 2948, find the limits. lim x1 _ 4 + 5x4
 3.2.34: In 2948, find the limits. lim x2 _ 6 + x
 3.2.35: In 2948, find the limits. lim x1 _ x2 + 2x + 2
 3.2.36: In 2948, find the limits. lim x1 _ x3 + 4x 1
 3.2.37: In 2948, find the limits. lim x0 ex2/3
 3.2.38: In 2948, find the limits. lim x0 e3x+2
 3.2.39: In 2948, find the limits. lim x3 ex29
 3.2.40: In 2948, find the limits. lim x1 ex2/21
 3.2.41: In 2948, find the limits. lim x0 e2x 1 ex 1
 3.2.42: In 2948, find the limits. lim x0 ex ex ex + 1
 3.2.43: In 2948, find the limits. lim x2 1 _ 5x2 4
 3.2.44: In 2948, find the limits. lim x1 1 _ 3 2x2
 3.2.45: In 2948, find the limits. lim x0 _ x2 + 9 3 x2
 3.2.46: In 2948, find the limits. lim x0 5 _ 25 + x2 2x2
 3.2.47: In 2948, find the limits. lim x0 ln(1 x)
 3.2.48: In 2948, find the limits. lim x1 ln[ex cos(x 1)]
Solutions for Chapter 3.2: Continuity
Full solutions for Calculus For Biology and Medicine (Calculus for Life Sciences Series)  3rd Edition
ISBN: 9780321644688
Solutions for Chapter 3.2: Continuity
Get Full SolutionsSince 48 problems in chapter 3.2: Continuity have been answered, more than 20256 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Calculus For Biology and Medicine (Calculus for Life Sciences Series), edition: 3. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 3.2: Continuity includes 48 full stepbystep solutions. Calculus For Biology and Medicine (Calculus for Life Sciences Series) was written by and is associated to the ISBN: 9780321644688.

Amplitude
See Sinusoid.

Blind experiment
An experiment in which subjects do not know if they have been given an active treatment or a placebo

Central angle
An angle whose vertex is the center of a circle

Cycloid
The graph of the parametric equations

Extracting square roots
A method for solving equations in the form x 2 = k.

Extraneous solution
Any solution of the resulting equation that is not a solution of the original equation.

Geometric sequence
A sequence {an}in which an = an1.r for every positive integer n ? 2. The nonzero number r is called the common ratio.

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

Imaginary unit
The complex number.

Inequality symbol or
<,>,<,>.

Irrational zeros
Zeros of a function that are irrational numbers.

Leibniz notation
The notation dy/dx for the derivative of ƒ.

Pseudorandom numbers
Computergenerated numbers that can be used to approximate true randomness in scientific studies. Since they depend on iterative computer algorithms, they are not truly random

Remainder polynomial
See Division algorithm for polynomials.

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

Standard form of a polynomial function
ƒ(x) = an x n + an1x n1 + Á + a1x + a0

Stemplot (or stemandleaf plot)
An arrangement of a numerical data set into a specific tabular format.

Tangent line of ƒ at x = a
The line through (a, ƒ(a)) with slope ƒ'(a) provided ƒ'(a) exists.

Vertical asymptote
The line x = a is a vertical asymptote of the graph of the function ƒ if limx:a+ ƒ1x2 = q or lim x:a ƒ1x2 = q.

Work
The product of a force applied to an object over a given distance W = ƒFƒ ƒAB!ƒ.