CALCULUS, VOLUME 1 (OER)17th EditionOpenStax Publisher: XANEDU CISBN: 2810022307715
CALCULUS, VOLUME 1 (OER)
Solutions for CALCULUS,VOLUME 1 (OER)
Problem 165E:
For the following exercises, find the length of the functions over the given interval. 165. y=5x...Problem 166E:
For the following exercises, find the length of the functions over the given interval. 166. y=12x+25...Problem 167E:
For the following exercises, find the length of the functions over the given interval. 167. x=4y...Problem 168E:
Pick an arbitrary lineal function x=g(y) over any interval of your choice (y1,y2) . Determine the...Problem 169E:
Find the surface area of the volume generated when the curve y=x revolves around the x-axis from...Problem 170E:
Find the surface area of the volume generated when the curve y=x2 revolves around the y-axis from...Problem 171E:
For the following exercises, find the lengths of the functions of x over the given interval. If you...Problem 172E:
For the following exercises, find the lengths of the functions of x over the given interval. If you...Problem 173E:
For the following exercises, find the lengths of the functions of x over the given interval. If you...Problem 174E:
For the following exercises, find the lengths of the functions of x over the given interval. If you...Problem 175E:
For the following exercises, find the lengths of the functions of x over the given interval. If you...Problem 176E:
For the following exercises, find the lengths of the functions of x over the given interval. If you...Problem 177E:
For the following exercises, find the lengths of the functions of x over the given interval. If you...Problem 178E:
For the following exercises, find the lengths of the functions of x over the given interval. If you...Problem 179E:
For the following exercises, find the lengths of the functions of x over the given interval. If you...Problem 180E:
For the following exercises, find the lengths of the functions of x over the given interval. If you...Problem 181E:
For the following exercises, find the lengths of the functions of y over the given interval. If you...Problem 182E:
For the following exercises, find the lengths of the functions of y over the given interval. If you...Problem 183E:
For the following exercises, find the lengths of the functions of y over the given interval. If you...Problem 184E:
For the following exercises, find the lengths of the functions of y over the given interval. If you...Problem 185E:
For the following exercises, find the lengths of the functions of y over the given interval. If you...Problem 186E:
For the following exercises, find the lengths of the functions of y over the given interval. If you...Problem 187E:
For the following exercises, find the lengths of the functions of y over the given interval. If you...Problem 188E:
For the following exercises, find the lengths of the functions of y over the given interval. If you...Problem 189E:
For the following exercises, find the lengths of the functions of y over the given interval. If you...Problem 190E:
For the following exercises, find the lengths of the functions of y over the given interval. If you...Problem 191E:
For the following exercises, find the surface area of the volume generated when the following curves...Problem 192E:
For the following exercises, find the surface area of the volume generated when the following curves...Problem 193E:
For the following exercises, find the surface area of the volume generated when the following curves...Problem 194E:
For the following exercises, find the surface area of the volume generated when the following curves...Problem 195E:
For the following exercises, find the surface area of the volume generated when the following curves...Problem 196E:
For the following exercises, find the surface area of the volume generated when the following curves...Problem 197E:
For the following exercises, find the surface area of the volume generated when the following curves...Problem 198E:
For the following exercises, find the surface area of the volume generated when the following curves...Problem 199E:
For the following exercises, find the surface area of the volume generated when the following curves...Problem 200E:
For the following exercises, find the surface area of the volume generated when the following curves...Problem 201E:
For the following exercises, find the surface area of the volume generated when the following curves...Problem 202E:
For the following exercises, find the surface area of the volume generated when the following curves...Problem 203E:
For the following exercises, find the surface area of the volume generated when the following curves...Problem 204E:
For the following exercises, find the surface area of the volume generated when the following curves...Problem 205E:
For the following exercises, find the surface area of the volume generated when the following curves...Problem 206E:
For the following exercises, find the surface area of the volume generated when the following curves...Problem 207E:
The base of a lamp is constructed by revolving a quarter circle y=2xx2 around the y-axis from x=1 to...Problem 208E:
A light bulb is a sphere with radius 1/2 in. with the bottom sliced off to fit exactly onto a...Problem 209E:
[T] A lampshade is constructed by rotating y=1/x around the x-axis from y=1 to y=2 , as seen here....Problem 210E:
[T] An anchor drags behind a boat according to the function y=24ex/224 , where y represents the...Problem 211E:
[T] You are building a bridge that will span 10 ft. You intend to add decorative rope in the shape...Problem 212E:
For the following exercises, find the exact arc length for the following problems over the given...Problem 213E:
Draw graphs of y=x2,y=x6 and y=x10 . For y=xn, as n increases, formulate a prediction on the arc...Problem 214E:
Compare the lengths of the parabola x=y and the line x=by from (0,0) to (b2,b) as b increases. What...Problem 215E:
Solve for the length of x=y from (0,0) to (1,1) . Show that x=(1/2)y2 from (0,0) to (2,2) is twice...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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