Solutions for CALCULUS,VOLUME 1 (OER)
Problem 301E:
For the following exercises, use implicit differentiation to find dydx . 301. 6x2+3y2=12Problem 303E:
For the following exercises, use implicit differentiation to find dydx . 303. 3x3+9xy2=5x3Problem 304E:
For the following exercises, use implicit differentiation to find dydx . 304. xycos(xy)=1Problem 305E:
For the following exercises, use implicit differentiation to find dydx . 305. yx+4=xy+8Problem 307E:
For the following exercises, use implicit differentiation to find dydx . 307. ysin(xy)=y2+2Problem 308E:
For the following exercises, use implicit differentiation to find dydx . 308. (xy)2+3x=y2Problem 309E:
For the following exercises, use implicit differentiation to find dydx . 309. x3y+xy3=8Problem 310E:
For the following exercises, find the equation of the tangent line to the graph of the given...Problem 311E:
For the following exercises, find the equation of the tangent line to the graph of the given...Problem 312E:
For the following exercises, find the equation of the tangent line to the graph of the given...Problem 313E:
For the following exercises, find the equation of the tangent line to the graph of the given...Problem 314E:
For the following exercises, find the equation of the tangent line to the graph of the given...Problem 315E:
For the following exercises, find the equation of the tangent line to the graph of the given...Problem 316E:
[T] The graph of a folium of Descartes with equation 2x3+2y39xy=0 is given in the following graph....Problem 317E:
For the equation x2+2xy3y2=0 , Find the equation of the normal to the tangent line at the point (1,...Problem 319E:
For the equation x2+xy+y2=7 , Find the x -intercept(s). Find the slope of the tangent line(s) at the...Problem 320E:
Find the equation of the tangent line to the graph of the equation sin1x+sin1y=6 at the point (0,12)...Problem 321E:
Find the equation of the tangent line to the graph ofthe equation tan1(x+y)=x2+4 at the point (0,1).Problem 322E:
Find y and y for x2+6xy2y2=3 .Problem 323E:
T] The number of cell phones produced when xdollars isspent on labor and ydollars is spent on...Problem 324E:
T] The number of cars produced when x dollars is spent on labor and y dollars is spent on capital...Problem 325E:
The volume of a right circular cone of radius xand height y is given by V=13x2y . Suppose that...Problem 326E:
For the following exercises, consider a closed rectangular box with a square base with side x and...Problem 327E:
For the following exercises, consider a closed rectangular box with a square base with side x and...Problem 328E:
For the following exercises, use implicit differentiation to determine y . Does the answer agree...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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