Solutions for CALCULUS,VOLUME 1 (OER)
Problem 229E:
For the following exercises, evaluate the given exponential functions as indicated, accurate to two...Problem 230E:
For the following exercises, evaluate the given exponential functions as indicated, accurate to two...Problem 231E:
For the following exercises, evaluate the given exponential functions as indicated, accurate to two...Problem 232E:
For the following exercises, evaluate the given exponential functions as indicated, accurate to two...Problem 233E:
For the following exercises, match the exponential equation to the correct graph. y=4x y=3x1 y=2x+1...Problem 234E:
For the following exercises, match the exponential equation to the correct graph. y=4x y=3x1 y=2x+1...Problem 235E:
For the following exercises, match the exponential equation to the correct graph. y=4x y=3x1 y=2x+1...Problem 236E:
For the following exercises, match the exponential equation to the correct graph. y=4x y=3x1 y=2x+1...Problem 237E:
For the following exercises, match the exponential equation to the correct graph. y=4x y=3x1 y=2x+1...Problem 238E:
For the following exercises, match the exponential equation to the correct graph. y=4x y=3x1 y=2x+1...Problem 239E:
For the following exercises, sketch the graph of the exponential function. Determine the domain,...Problem 240E:
For the following exercises, sketch the graph of the exponential function. Determine the domain,...Problem 241E:
For the following exercises, sketch the graph of the exponential function. Determine the domain,...Problem 242E:
For the following exercises, sketch the graph of the exponential function. Determine the domain,...Problem 243E:
For the following exercises, sketch the graph of the exponential function. Determine the domain,...Problem 244E:
For the following exercises, sketch the graph of the exponential function. Determine the domain,...Problem 245E:
For the following exercises, sketch the graph of the exponential function. Determine the domain,...Problem 246E:
For the following exercises, write the equation in equivalent exponential form. 246. log381=4Problem 247E:
For the following exercises, write the equation in equivalent exponential form. 247. log82=13Problem 248E:
For the following exercises, write the equation in equivalent exponential form. 248. log51=0Problem 249E:
For the following exercises, write the equation in equivalent exponential form. 249. log525=2Problem 250E:
For the following exercises, write the equation in equivalent exponential form. 250. log0.1=1Problem 251E:
For the following exercises, write the equation in equivalent exponential form. 251. In(1e3)=3Problem 252E:
For the following exercises, write the equation in equivalent exponential form. 252. log93=0.5Problem 253E:
For the following exercises, write the equation in equivalent exponential form. 253. In1=0Problem 254E:
For the following exercises, write the equation in equivalent logarithmic form. 254. 23=8Problem 255E:
For the following exercises, write the equation in equivalent logarithmic form. 255. 42=116Problem 256E:
For the following exercises, write the equation in equivalent logarithmic form. 256. 102=100Problem 257E:
For the following exercises, write the equation in equivalent logarithmic form. 257. 90=1Problem 258E:
For the following exercises, write the equation in equivalent logarithmic form. 258. (13)3=127Problem 259E:
For the following exercises, write the equation in equivalent logarithmic form. 259. 643=4Problem 260E:
For the following exercises, write the equation in equivalent logarithmic form. 260. ex=yProblem 261E:
For the following exercises, write the equation in equivalent logarithmic form. 261. 9y=150Problem 262E:
For the following exercises, write the equation in equivalent logarithmic form. 262. b3=45Problem 263E:
For the following exercises, write the equation in equivalent logarithmic form. 263. 43/2=0.125Problem 264E:
For the following exercises, sketch the graph of the logarithmic function. Determine the domain,...Problem 265E:
For the following exercises, sketch the graph of the logarithmic function. Determine the domain,...Problem 266E:
For the following exercises, sketch the graph of the logarithmic function. Determine the domain,...Problem 267E:
For the following exercises, sketch the graph of the logarithmic function. Determine the domain,...Problem 268E:
For the following exercises, sketch the graph of the logarithmic function. Determine the domain,...Problem 269E:
For the following exercises, sketch the graph of the logarithmic function. Determine the domain,...Problem 270E:
For the following exercises, use properties of logarithms to write the expressions as a sum,...Problem 271E:
For the following exercises, use properties of logarithms to write the expressions as a sum,...Problem 272E:
For the following exercises, use properties of logarithms to write the expressions as a sum,...Problem 273E:
For the following exercises, use properties of logarithms to write the expressions as a sum,...Problem 274E:
For the following exercises, use properties of logarithms to write the expressions as a sum,...Problem 275E:
For the following exercises, use properties of logarithms to write the expressions as a sum,...Problem 284E:
For the following exercises, solve the logarithmic equation exactly, if possible. 284. log3x=0Problem 285E:
For the following exercises, solve the logarithmic equation exactly, if possible. 285. log5x=2Problem 286E:
For the following exercises, solve the logarithmic equation exactly, if possible. 286. log4(x+5)=0Problem 287E:
For the following exercises, solve the logarithmic equation exactly, if possible. 287. log(2x7)=0Problem 288E:
For the following exercises, solve the logarithmic equation exactly, if possible. 288. Inx+3=2Problem 289E:
For the following exercises, solve the logarithmic equation exactly, if possible. 289....Problem 290E:
For the following exercises, solve the logarithmic equation exactly, if possible. 290....Problem 291E:
For the following exercises, solve the logarithmic equation exactly, if possible. 291....Problem 292E:
For the following exercises, rise the change-of-base formula and either base 10 or base e to...Problem 293E:
For the following exercises, rise the change-of-base formula and either base 10 or base e to...Problem 294E:
For the following exercises, rise the change-of-base formula and either base 10 or base e to...Problem 295E:
For the following exercises, rise the change-of-base formula and either base 10 or base e to...Problem 296E:
For the following exercises, rise the change-of-base formula and either base 10 or base e to...Problem 297E:
For the following exercises, rise the change-of-base formula and either base 10 or base e to...Problem 299E:
[T] The number of bacteria N in a culture after t days can be modeled by the function...Problem 300E:
[T] The demand D (in millions of barrels) for oil in ail oil-rich country is given by the function...Problem 301E:
[T] The amount A of a $100,000 investment paying continuously and compounded for t years is given by...Problem 302E:
[T] An investment is compounded monthly, quarterly, or yearly and is given by the function...Problem 303E:
[T] The concentration of hydrogen ions in a substance is denoted by [H+] , measured in moles per...Problem 304E:
[T] Iodine-131 is a radioactive substance that decays according to the function Q(t)=Q0e0.08664t ,...Problem 305E:
[T] According to the World Bank, at the end of 2013 (t = 0) the U.S. population was 316 million and...Problem 306E:
[T] The amount A accumulated after 1000 dollar’s is invested for t years at an interest rate of 4%...Problem 307E:
[T] A bacterial colony grown in a lab is known to double in number in 12 hours. Suppose, initially,...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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