 5.1: Suppose that f (x) = xex , x 0 (a) Show that f (0) = 0, f (x) > 0 f...
 5.2: Suppose that f (x) = x ln x, x > 0 (a) Define f (x) at x = 0 so tha...
 5.3: In Review of Chapter 2 we introduced the hyperbolic functions sinh ...
 5.4: Let f (x) = x 1 + ex , x R (a) Show that y = 0 is a horizontal asym...
 5.5: Recruitment Model Rickers curve describes the relationship between ...
 5.6: Gompertz Growth Model The is sometimes used to study the growth of ...
 5.7: Monod Growth Model The Monod growth curve is given by f (x) = cx k ...
 5.8: Logistic Growth The logistic growth curve is given by N(t) = K 1 + ...
 5.9: Genetics A population is said to be in HardyWeinberg equilibrium, w...
 5.10: Cell Volume Suppose the volume of a cell is increasing at a constan...
 5.11: Drug Concentration Suppose the concentration c(t) of a drug in the ...
 5.12: ResourceLimited Growth Sterner (1997) investigated the effect of f...
 5.13: Velocity and Distance Neglecting air resistance, the height (in met...
Solutions for Chapter 5: Review Problems
Full solutions for Calculus For Biology and Medicine (Calculus for Life Sciences Series)  3rd Edition
ISBN: 9780321644688
Solutions for Chapter 5: Review Problems
Get Full SolutionsThis textbook survival guide was created for the textbook: Calculus For Biology and Medicine (Calculus for Life Sciences Series), edition: 3. Chapter 5: Review Problems includes 13 full stepbystep solutions. Calculus For Biology and Medicine (Calculus for Life Sciences Series) was written by and is associated to the ISBN: 9780321644688. This expansive textbook survival guide covers the following chapters and their solutions. Since 13 problems in chapter 5: Review Problems have been answered, more than 19946 students have viewed full stepbystep solutions from this chapter.

Annual percentage yield (APY)
The rate that would give the same return if interest were computed just once a year

Circular functions
Trigonometric functions when applied to real numbers are circular functions

Dependent event
An event whose probability depends on another event already occurring

equation of a quadratic function
ƒ(x) = ax 2 + bx + c(a ? 0)

Expanded form of a series
A series written explicitly as a sum of terms (not in summation notation).

Independent variable
Variable representing the domain value of a function (usually x).

Intermediate Value Theorem
If ƒ is a polynomial function and a < b , then ƒ assumes every value between ƒ(a) and ƒ(b).

Interval notation
Notation used to specify intervals, pp. 4, 5.

Inverse cosecant function
The function y = csc1 x

Lower bound for real zeros
A number c is a lower bound for the set of real zeros of ƒ if ƒ(x) Z 0 whenever x < c

Newton’s law of cooling
T1t2 = Tm + 1T0  Tm2ekt

Partial fractions
The process of expanding a fraction into a sum of fractions. The sum is called the partial fraction decomposition of the original fraction.

Pole
See Polar coordinate system.

Quartic function
A degree 4 polynomial function.

Repeated zeros
Zeros of multiplicity ? 2 (see Multiplicity).

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

Vertex of a cone
See Right circular cone.

Vertical line test
A test for determining whether a graph is a function.

Xmin
The xvalue of the left side of the viewing window,.

Yscl
The scale of the tick marks on the yaxis in a viewing window.