Calculus : The Classic Edition (with Ma...5th EditionEarl W. Swokowski Publisher: Brooks/ColeISBN: 9780534435387
Calculus : The Classic Edition (with Ma...
Solutions for Calculus : The Classic Edition (with Make the Grade and Infotrac)
Browse All Chapters of This Textbook
Chapter 1.1 - AlgebraChapter 1.2 - FunctionsChapter 1.3 - TrigonometryChapter 2.1 - Introduction To LimitsChapter 2.2 - Definition Of LimitChapter 2.3 - Techniques For Finding LimitsChapter 2.4 - Limits Involving InfinityChapter 2.5 - Continuous FunctionsChapter 2.6 - Review ExercisesChapter 3.1 - Tangent Lines And Rates Of Change
Chapter 3.2 - Definition Of DerivativeChapter 3.3 - Techniques Of DifferentiationChapter 3.4 - Derivatives Of The Trigonometric FunctionsChapter 3.5 - Increments And DifferentialsChapter 3.6 - The Chain RuleChapter 3.7 - Implicit DifferentiationChapter 3.8 - Related RatesChapter 3.9 - Review ExercisesChapter 4.1 - Extrema Of FunctionsChapter 4.2 - The Mean Value TheoremChapter 4.3 - The First Derivative TestChapter 4.4 - Concavity And The Second Derivative TestChapter 4.5 - Summary Of Graphical MethodsChapter 4.6 - Optimization ProblemsChapter 4.7 - Rectilinear Motion And Other ApplicationsChapter 4.8 - Newton's MethodChapter 4.9 - Review ExercisesChapter 5.1 - Antiderivatives And Indefinite IntegralsChapter 5.2 - Change Of Variables In Indefinite IntegralsChapter 5.3 - Summation Notation And AreaChapter 5.4 - The Definite IntegralChapter 5.5 - Properties Of The Definite IntegralChapter 5.6 - The Fundamental Theorem Of CalculusChapter 5.7 - Numerical IntegrationChapter 5.8 - Review Exercises
Book Details
1. Precalculus Review.
2. Limits of Functions.
3. The Derivative.
4. Applications of the Derivative.
5. Integrals.
6. Applications of the Definite Integral.
7. Logarithmic and Exponential Functions.
8. Inverse Trigonometric and Hyperbolic Functions.
9. Techniques of Integration.
10. Indeterminate Forms and Improper Integrals.
11. Infinite Series.
12. Topics from Analytic Geometry.
13. Plane Curves and Polar Coordinates.
14. Vectors and Surfaces.
15. Vector-Valued Functions.
16. Partial Differentiation.
17. Multiple Integrals.
18. Vector Calculus.
19. Differential Equations.
Appendices I: Mathematical Induction.
Appendices II: Theorems On Limits and Integrals.
Appendices III: Tables.
Appendices IV: Table of Integrals.
Answers to Odd-Numbered Exercises.
Index.
Sample Solutions for this Textbook
We offer sample solutions for Calculus : The Classic Edition (with Make the Grade and Infotrac) homework problems. See examples below:
Given: The given expression is (−5)|3−6| Calculation: The absolute value |a| of a real number ‘a’...Given: f(x)=x−4−3x Calculation: Substituting x = 4 in f(x) , we get f(4)=4−4−3(4)=−12 Substituting x...Given: 150∘ Concept Used: 1. To change radian measure to degrees, multiply by 180π 2. To change...Given: limx→−2(3x−1) Calculation: limx→−2(3x−1)=3⋅(−2)−1 (Replace x by −2)=−6−1=−7 Conclusion:...Given information: The limit limt→cv(t)=k Consider the limit limt→cv(t)=k The above equation can be...Given: limx→215 Concept Used: One theorem on limits suggest that limit of a constant function at any...Given information:. f(x)=5x−4; a=4 Concept Involved: Limit means intended height of the function....Given: Concept Used: A function has jump discontinuity if its graph “jumps” from one value to...Given: The expression is limx→35x+11x+1 . Calculation: Substitute 3 for x in expression...
Given: The given expression is f(x)=5x2−4x Calculation: The slope of the tangent line to the graph...Given: The given expression is f(x)=−5x2+8x+2; P(−1,−11) Calculation: The derivative of the function...Given: The function is g(t)=6t53 . Calculation: Differentiate both sides of the equation using power...Given: f(x)=4cosx Formula used: ddx(cosx)=−sinx Calculation: Differentiate the given function with...Given information: y=2x2−4x+5 Concept and Formula Used: Δy=f(x+Δx)−f(x),dy=f'(x)Δx=f'(x)dx...Given: y=u2; and u=x3−4 Concept Used: Chain rule of differentiation is: ddxf[g(x)]=ddgf(g)dgdx ,...Given: 8x2+y2=10 Concept Used: Chain rule of differentiation is: ddxf[g(x)]=ddgf(g)dgdx , where u is...Given information: A=x2 and dxdt=3 when x=10. Concept and Formula Used: The concept of...Given: Given function: f(x)=43x2+2 Concept used: Derivative of function is defined as...Given : It is given in the question that the graph is given below: Concept Used: In this we have to...Given information: Graph f Concept Used: Mean Value Theorem: If f is continuous on a closed interval...Given information: The function, f(x)=5−7x−4x2 . Formula used: Let a function g be continuous on...Given information: f(x)=x3−2x2+x+1 Formula used: Second derivative test: find f'(x),f''(x). find...Given: The function is given as: f(x)=2x−5x+3 Step 1:the domain is ∞ except (-3) and the function is...Given: The volume of box is 4 ft3 . Calculation: Let the length and height of box as x and h...Given: Given function: s(t)=3t2−12t+1 Interval: [0,5] Concept used: To find the velocity of...Given: The given expression is 23 Calculation: The given problem is equivalent to that of...Given information: The function f(x)=−x2+6x−8 and the interval [1,6] . Formula used: If a function g...Given information: ∫(4x+3)dx Concept and Formula Used: ∫dx=x+C,∫( x n)dx=xn+1n+1+C . Calculation: It...Given information: ∫x( 2 x 2 +3)10dx , u=(2x2+3) Concept and Formula Used: ∫xndx= x n+1n+1+C ....Given information: The sum ∑j=14(j2+1) Formulae used: ∑j=1nj2=n(n+1)(2n+1)6∑j=1n1=n Calculation:...Given information: The numbers {0,1.1,2.6,3.7,4.1,5} which determines the partition P of an...Given information: ∫−245dx Concept and Formula Used: ∫xndx= x n+1n+1+C,∫abcdx=c(b−a) , Calculation:...Given information: ∫14(x2−4x−3)dx Concept and Formula Used: ∫xndx= x n+1n+1+C,∫abcdx=c(b−a) ,...Given: The integral is ∫13(x2+1)dx . Calculation: Integrate the function by trapezoidal rule as...Given information: ∫( 8 x 2 −4x+5 x 4 )dx Concept and Formula Used: ∫dx=x+C,∫( x n)dx=xn+1n+1+C ....
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