Neuhauser Calculus For Biology And Medicine 3Rd Edition

Included with your book

Access anytime on linked devicesSearch and highlight straight in your eBook

Total Price: $15.49

List Price: was$239.99yourSavings*: $224.50

Add to cartAdd to cartAdd to cart done loading


Total Price: $15.49

List Price: was$239.99yourSavings*: $224.50

Add to cartAdd to cartAdd to cart done loading

Textbook Solutions Only$14.95

Solve your toughest problems with:

Access to step-by-step Textbook Solutions for up to five (5) different textbooks per month (including this one!)Ability to short article as much as twenty new (20) questions per monthUnlimited viewing of 25 million fully fixed homework-related questions in our Q&A library answered by experts

*
by 


Total Price: $15.49

Billed monthly. Cancel anytime.

You watching: Neuhauser calculus for biology and medicine 3rd edition

Get SolutionsGet SolutionsGet Solutions done loading
Note: Supplemental product (e.g. CDs, DVDs, accessibility codes, or lab manuals) is only contained through a brand-new textbook purchase.
Rent Calculus for Biology and Medicine 3rd edition (978-0321644688) today, or search our site for various other textpublications by Claudia Neuhauser. Eextremely textbook comes through a 21-day "Any Reason" guarantee. Publimelted by Pearboy.

Calculus for Biology and Medicine third edition remedies are easily accessible for this textbook.

See more: What Is The Most Important Legacy Of The Scientific Revolution Philosophy Essay


Calculus for Biology and also Medicine, Third Edition, addresses the demands of readers in the biological sciences by reflecting them how to use calculus to analyze natural phenomena—.without compromising the rigorous presentation of the mathematics. While the table of contents aligns well with a traditional calculus text, all the concepts are presented with biological and also medical applications. The text provides readers via the knowledge and also skills crucial to analyze and also translate mathematical models of a varied array of sensations in the living people. This book is suitable for a wide audience, as all examples were chosen so that no formal training in biology is needed.

Sample inquiries asked in the third edition of Calculus for Biology and also Medicine:

Leopold and Kriedemann (1975) measured the crop growth rate of sunflowers as a role of leaf area index and percent of full sunlight. (Leaf location index is the proportion of leaf surconfront area to the ground area the plant covers.) They found that, for a solved level of sunlight, chop expansion rate initially boosts and then decreases as a function of leaf location index. For a provided leaf area index, the chop expansion price rises via the level of sunlight. The leaf area index that maximizes the chop development price is a raising feature of sunlight. Sketch the crop expansion price as a function of leaf location index for various values of percent of full sunlight.

Let X and also Y be two independent random variables with probcapability mass attribute explained by the following table: (a) Find E ( X ) and E ( Y ) . (b) Find E ( X + Y ) . (c) Find var ( X ) and also var ( Y ) . (d) Find var ( X + Y ) .

Optimal Era at First Reproduction (from Lloyd, 1987) Iteroparous organisms breed even more than once in the time of their life time. Consider a model in which the intrinsic rate of increase, r , counts on the age of first reproduction, deprovided by x , and also satisfies the equation wright here k , L , and c are positive constants describing the life background of the organism. The optimal age of first reproduction is the age x for which r ( x ) is maximized. Because we cannot separate r ( x ) in the preceding equation, we must usage implicit differentiation to find a candiday for the optimal age of reproduction. (a) Find an equation for . < Hint : Take logarithms of both sides of (5.13) before distinguishing with respect to x .> (b) Set and present that this provides

Suppose the size of a populace at time t is N ( t ) , and also the expansion price of the populace is given by the logistic development Function where r and also K are positive constants. (a) Graph the expansion price as a duty of N for r = 3 and K = 10. (b) The function f ( N ) = rN ( 1? N / K ) , N ? 0, is differentiable for N > 0. Compute f ‘ ( N ) , and recognize wright here the attribute f ( N ) is increasing and also wright here it is decreasing.The attribute f ( N ) = rN ( 1? N / K ) , N ? 0, is differentiable for N > 0. Compute f’ ( N ) , and determine where the feature f ( N ) is boosting and where it is decreasing.


Preface

xi

Preview and Review

1(61)

Preliminaries

2(14)

The Real Numbers

2(2)

Lines in the Plane

4(2)

Equation of the Circle

6(1)

Trigonometry

7(1)

Exponentials and also Logarithms

8(3)

Complex Numbers and also Quadratic Equations

11(5)

Elementary Functions

16(23)

What Is a Function?

16(3)

Polynomial Functions

19(2)

Rational Functions

21(2)

Power Functions

23(1)

Exponential Functions

24(4)

Inverse Functions

28(2)

Logarithmic Functions

30(2)

Trigonometric Functions

32(7)

Graphing

39(23)

Graphing and Basic Transformations of Functions

39(3)

The Logarithmic Scale

42(1)

Transformations right into Liclose to Functions

43(7)

From a Verbal Description to a Graph (Optional)

50(8)

Key Terms

58(1)

Resee Problems

58(4)

Discrete Time Models, Sequences, and Difference Equations

62(29)

Exponential Growth and Decay

62(6)

Modeling Population Growth in Discrete Time

62(3)

Recursions

65(3)

Sequences

68(11)

What Are Sequences?

68(3)

Limits

71(4)

Recursions

75(4)

More Population Models

79(12)

Restricted Population Growth: The Beverton--Holt Recruitment Curve

80(2)

The Discrete Logistic Equation

82(3)

Ricker's Curve

85(1)

Fibonacci Sequences

86(3)

Key Terms

89(1)

Recheck out Problems

89(2)

Limits and Continuity

91(41)

Limits

91(11)

An Informal Discussion of Limits

92(5)

Limit Laws

97(5)

Continuity

102(7)

What Is Continuity?

102(3)

Combinations of Continuous Functions

105(4)

Limits at Infinity

109(4)

The Sandwich Theorem and Some Trigonometric Limits

113(6)

Properties of Continuous Functions

119(4)

The Intermediate-Value Theorem

119(3)

A Final Remark on Continuous Functions

122(1)

A Formal Definition of Limits (Optional)

123(9)

Key Terms

129(1)

Review Problems

129(3)

Differentiation

132(70)

Formal Definition of the Derivative

133(12)

Geometric Interpretation and also Using the Definition

135(3)

The Derivative as an Instantaneous Rate of Change: A First Look at Differential Equations

138(3)

Differenticapacity and Continuity

141(4)

The Power Rule, the Basic Rules of Differentiation, and also the Derivatives of Polynomials

145(6)

The Product and Quotient Rules, and the Derivatives of Rational and Power Functions

151(8)

The Product Rule

151(3)

The Quotient Rule

154(5)

The Chain Rule and Higher Derivatives

159(15)

The Chain Rule

159(6)

Implicit Functions and Implicit Differentiation

165(2)

Related Rates

167(2)

Higher Derivatives

169(5)

Derivatives of Trigonometric Functions

174(4)

Derivatives of Exponential Functions

178(5)

Derivatives of Inverse Functions, Logarithmic Functions, and the Inverse Tangent Function