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書名:
CALCULUS METRIC VERSION 9E Early Transcendentals
作者:
James Stewart、Daniel Clegg、Saleem Watson
前往作者「James Stewart、Daniel Clegg、Saleem Watson」
出版社:
CENGAGE
出版日期:
2020、9th
版次:
2020、9th
ISBN:
分類:
自然科學 >
媒體型態:
點字檔案
藏書單位:
淡江大學視障資源中心
封面
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CALCULUS METRIC VERSION 9E Early Transcendentals
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CALCULUS METRIC VERSION 9E Early Transcendentals
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(全文 3)
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Contents
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1.4 Exponential Functions
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2.5 Continuity
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3.4 Limits at Infinity; Horizontal Asymptotes
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2.7 Derivatives and Rates of Change
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2.8The Derivative as a Function
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2 Limits and Derivatives
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3.1 Derivatives of Polynomials and Exponential Functions
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3.2 The Product and Quotient Rules
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3.3 Derivatives of Trigonometric Functions
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3.4 The Chain Rule
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3.10 Linear Approximations and Differentials
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3.11 Hyperbolic Functions
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The great mathematician Leonard Euler observed"... nothing at all takes place in the universe in which some rule of maximum or
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4.2 The Mean Value Theorem
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4.3 What Derivatives Tell Us about the Shape of a Graph
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4.4Indeterminate Forms and I Hospitals Rule
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4.5 Summary of Curve Sketching
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4.7 Optimization Problems
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4.8 Newton's Method
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4.9 Antiderivatives
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5 Applications of Integration
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5.2 The Definite Integral
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5.3 The Fundamental Theorem of Calculus
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5.4 Indefinite Integrals and the Net Change Theorem
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5.5 The Substitution Rule
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Rotation is used in many manufacturing processes. The photo shows an artist throwing a clay pot on a rotating potter's wheel. InExercise6.2.87 we explore the mathematics of designing a terra-cotta pot.
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6.2 Volumes
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6.3 Volumes by Cylindrical Shells
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6.5 Average Value of a Function
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The physical principles that govern the motion of a model rocket also apply to rockets that send spacecraft into earth orbit. In Exercise7.1.74
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7.2 Trigonometric Integrals
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75-77 Prove the formula, where m and n are positive integers.
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7.4 Integration of Rational Functions by Partial Fractions
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$\int \frac{d x}{(x^{2}+1)^{2}} \quad$ and $\quad \int \frac{d x}{(x^{2}+1)^{3}}$
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2. (a) Use a computer to evaluate the following integrals.(i)| $\int \sin x \cos 2 x d x$ (ii) $\int \sin 3 x \cos 7 x d x$ (iii) $\int \sin 8 x \cos 3 x d
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43. The intensity of light with wavelength A traveling througha diffraction grating with N slits at an angle $\theta$ is given by
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The Gateway Arch in St, Louis, Missouri, stands 192 meters high and was completed in 1965. The arch was designed by the architect EeroSaarinen using an equation involving the hyperbolic cosine function. In Exercise 8. 1.50 you are asked to com pute
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8.2 Area of a Surface of Revolution
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Astronomers gather information about distant celestial objects from the electromagnetic radiation that these objects emit. In the project following Section 11.11 you are asked to compare the radiation emitted by different stars, including Betelgeuse
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11.2 Series
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11.3 The Integral Test and Estimates of Sums
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11.4 The Comparison Test
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11.5 Alternating Series and Absolute Convergence
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11.6 I The Ratio and Root Tests
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11.7 Strategy for Testing Series
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