Solutions for CALCULUS,VOLUME 1 (OER)
Problem 1E:
For the following exercises, points P(l, 2) and Q(x, y) are on the graph of the function f(x)=x2+1 ....Problem 2E:
For the following exercises, points P(l, 2) and Q(x, y) are on the graph of the function f(x)=x2+1 ....Problem 3E:
For the following exercises, points P(l, 2) and Q(x, y) are on the graph of the function f(x)=x2+1...Problem 4E:
For the following exercises, points P(l, 1) and Q(x, y) are on the graph of the function f(x)=x3 ....Problem 5E:
For the following exercises, points P(l, 1) and Q(x, y) are on the graph of the function f(x)=x3 ....Problem 6E:
For the following exercises, points P(l, 1) and Q(x, y) are on the graph of the function f(x)=x3 ....Problem 7E:
For the following exercises, points P(4, 2) and Q(x, y) are on the graph of the function f(x)=x ....Problem 8E:
For the following exercises, points P(4, 2) and Q(x, y) are on the graph of the function f(x)=x . 8....Problem 9E:
For the following exercises, points P(4, 2) and Q(x, y) are on the graph of the function f(x)=x . 9....Problem 10E:
For the following exercises, points P(l.5, 0) and Q( , y) are on the graph of the function f()=cos()...Problem 11E:
For the following exercises, points P( 1.5, 0) and Q( , y) are on the graph of the function...Problem 12E:
For the following exercises, points P( 1.5, 0) and Q( , y) are on the graph of the function...Problem 13E:
For the following exercises, points P(-1, -1) and Q(x, y) are on the graph of the function f(x)=1x ....Problem 14E:
For the following exercises, points P(-1,-1) and Q(x, y) are on the graph of the function f(x)=1x ....Problem 15E:
For the following exercises, points P(-1, - 1) and Q(x, y) are on the graph of the function f(x)=1x...Problem 16E:
For the following exercises, the position function of a ball dropped from the top of a 200-meter...Problem 17E:
For the following exercises, the position function of a ball dropped from the top of a 200-meter...Problem 18E:
For the following exercises, consider a stone tossed into the air from ground level with an initial...Problem 19E:
For the following exercises, consider a stone tossed into the air from ground level with an initial...Problem 20E:
For the following exercises, consider a rocket shot into the air that then returns to Earth. The...Problem 21E:
For the following exercises, consider a rocket shot into the air that then returns to Earth. The...Problem 22E:
For the following exercises, consider an athlete running a 40-m dash. The position of the athlete is...Problem 23E:
For the following exercises, consider an athlete running a 40-m dash. The position of the athlete is...Problem 24E:
For the following exercises, consider the function.
24. Sketch the graph of f over the interval [-1,...Problem 25E:
For the following exercises, consider the function f(x)=|x| . 25. Use the preceding exercise to find...Problem 26E:
For the following exercises, consider the function f(x)=1x2 . (Hint: This is the upper half of the...Problem 27E:
For the following exercises, consider the function. (Hint: This is the upper half of the circle of...Browse All Chapters of This Textbook
Chapter 1 - Functions And GraphsChapter 1.1 - Review Of FunctionsChapter 1.2 - Basic Classes Of FunctionsChapter 1.3 - Trigonometric FunctionsChapter 1.4 - Inverse FunctionsChapter 1.5 - Exponential And Logarithmic FunctionsChapter 2 - LimitsChapter 2.1 - A Preview Of CalculusChapter 2.2 - The Limit Of A FunctionChapter 2.3 - The Limit Laws
Chapter 2.4 - ContinuityChapter 2.5 - The Precise Definition Of A LimitChapter 3 - DerivativesChapter 3.1 - Defining The DerivativeChapter 3.2 - The Derivative As A FunctionChapter 3.3 - Differentiation RulesChapter 3.4 - Derivatives As Rates Of ChangeChapter 3.5 - Derivatives Of Trigonometric FunctionsChapter 3.6 - The Chain RuleChapter 3.7 - Derivatives Of Inverse FunctionsChapter 3.8 - Implicit DifferentiationChapter 3.9 - Derivatives Of Exponential And Logarithmic FunctionsChapter 4 - Applications Of DerivativesChapter 4.1 - Related RatesChapter 4.2 - Linear Approximations And DifferentialsChapter 4.3 - Maxima And MinimaChapter 4.4 - The Mean Value TheoremChapter 4.5 - Derivatives And The Shape Of A GraphChapter 4.6 - Limits At Infinity And AsymptotesChapter 4.7 - Applied Optimization ProblemsChapter 4.8 - L'hopitars RuleChapter 4.9 - Newton's MethodChapter 4.10 - AntiderivativesChapter 5 - IntegrationChapter 5.1 - Approximating AreasChapter 5.2 - The Definite IntegralChapter 5.3 - The Fundamental Theorem Of CalculusChapter 5.4 - Integration Formulas And The Net Change TheoremChapter 5.5 - SubstitutionChapter 5.6 - Integrals Involving Exponential And Logarithmic FunctionsChapter 5.7 - Integrals Resulting In Inverse Trigonometric FunctionsChapter 6 - Applications Of IntegrationChapter 6.1 - Areas Between CurvesChapter 6.2 - Determining Volumes By SlicingChapter 6.3 - Volumes Of Revolution: Cylindrical ShellsChapter 6.4 - Arc Length Of A Curve And Surface AreaChapter 6.5 - Physical ApplicationsChapter 6.6 - Moments And Centers Of MassChapter 6.7 - Integrals, Exponential Functions, And LogarithmsChapter 6.8 - Exponential Growth And DecayChapter 6.9 - Calculus Of The Hyperbolic Functions
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