MyMathlab with Pearson eText -- Standal...11th EditionAllyn J. Washington, Richard Evans Publisher: PEARSONISBN: 9780134764733
MyMathlab with Pearson eText -- Standal...
Solutions for MyMathlab with Pearson eText -- Standalone Access Card -- for Basic Technical Mathematics with Calculus (11th Edition) (MyLab Math)
Problem 1PE:
|4.2| = ?Problem 2PE:
|34|=?Problem 1E:
In Exercises 14, make the given changes in the indicated examples of this section, and then answer...Problem 2E:
In Exercises 14, make the given changes in the indicated examples of this section, and then answer...Problem 3E:
In Exercises 14, make the given changes in the indicated examples of this section, and then answer...Problem 4E:
In Exercises 14, make the given changes in the indicated examples of this section, and then answer...Problem 5E:
In Exercises 58, designate each of the given numbers as being an integer, rational, irrational,...Problem 6E:
In Exercises 58, designate each of the given numbers as being an integer, rational, irrational,...Problem 7E:
In Exercises 58, designate each of the given numbers as being an integer, rational, irrational,...Problem 8E:
In Exercises 58, designate each of the given numbers as being an integer, rational, irrational,...Problem 11E:
In Exercises 1118, insert the correct sign of inequality ( or ) between the given numbers. 6 8Problem 12E:
In Exercises 1118, insert the correct sign of inequality ( or ) between the given numbers. 7 5Problem 13E:
In Exercises 1118, insert the correct sign of inequality ( or ) between the given numbers. 3.1416Problem 14E:
In Exercises 1118, insert the correct sign of inequality ( or ) between the given numbers. 4 0Problem 15E:
In Exercises 1118, insert the correct sign of inequality ( or ) between the given numbers. 4 | 3 |Problem 17E:
In Exercises 1118, insert the correct sign of inequality ( or ) between the given numbers. 23 34Problem 18E:
In Exercises 1118, insert the correct sign of inequality ( or ) between the given numbers. 0.6 0.2Problem 21E:
In Exercises 21 and 22, locate (approximately) each number on a number line as in Fig. 1.2.
21. 2.5,...Problem 22E:
In Exercises 21 and 22, locate (approximately) each number on a number line as in Fig. 1.2.
22. ,...Problem 23E:
In Exercises 2346, solve the given problems. Refer to Appendix B for units of measurement and their...Problem 24E:
In Exercises 2346, solve the given problems. Refer to Appendix B for units of measurement and their...Problem 29E:
List the following numbers in numerical order, starting with the smallest: −1, 9, π, , |−8|, −|−3|,...Problem 31E:
If a and b are positive integers and b > a, what type of number is represented by the following?
b...Problem 32E:
If a and b represent positive integers, what kind of number is represented by (a) a + b, (b) a/b,...Problem 33E:
For any positive or negative integer (a) Is its absolute value always an integer? (b) Is its...Problem 34E:
For any positive or negative rational number: (a) Is its absolute value always a rational number?...Problem 36E:
Describe the location of a number x on the number line when
(a) |x| < 1 and (b) |x| > 2.
Problem 38E:
For a number x < 0, describe the location on the number line of the number with a value of |x|.
Problem 39E:
A complex number is defined as a + b j, where a and b are real numbers and . For what values of a...Problem 40E:
A sensitive gauge measures the total weight w of a container and the water that forms in it as vapor...Problem 41E:
In an electric circuit, the reciprocal of the total capacitance of two capacitors in series is the...Problem 42E:
Alternating-current (ac) voltages change rapidly between positive and negative values. If a voltage...Problem 43E:
The memory of a certain computer has a bits in each byte. Express the number N of bits in n...Problem 44E:
The computer design of the base of a truss is x ft long. Later it is redesigned and shortened by y...Browse All Chapters of This Textbook
Chapter 1 - Basic Algebraic OperationsChapter 1.1 - NumbersChapter 1.2 - Fundamental Operations Of AlgebraChapter 1.3 - Calculators And Approximate NumbersChapter 1.4 - Exponets And Unit ConversionsChapter 1.5 - Scientific NotationChapter 1.6 - Roots And RadicalsChapter 1.7 - Addition And Subtraction Of Algebraic ExpressionsChapter 1.8 - Multiplication Of Algebraic ExpressionsChapter 1.9 - Division Of Algebraic Expressions
Chapter 1.10 - Solving EquationsChapter 1.11 - Formulas And Literal EquationsChapter 1.12 - Applied Word ProblemsChapter 2 - GeometryChapter 2.1 - Lines And AnglesChapter 2.2 - TrianglesChapter 2.3 - QuadrilateralsChapter 2.4 - CirclesChapter 2.5 - Measurement Of Irregular AreasChapter 2.6 - Solid Geometric FiguresChapter 3 - Functions And GraphsChapter 3.1 - Introduction To FunctionsChapter 3.2 - More About FunctionsChapter 3.3 - Rectangular CoordinatesChapter 3.4 - The Graph Of A FunctionChapter 3.5 - Graphs On The Graphing CalculatorChapter 3.6 - Graphs Of Functions Defined By Tables Of DataChapter 4 - The Trigonometric FunctionsChapter 4.1 - AnglesChapter 4.2 - Defining The Trigonometric FunctionsChapter 4.3 - Values Of The Trigonometric FunctionsChapter 4.4 - The Right TriangleChapter 4.5 - Applications Of Right TrianglesChapter 5 - Systems Of Linear Equations; DeterminantsChapter 5.1 - Linear Equations And Graphs Of Linear FunctionsChapter 5.2 - Systems Of Equations And Graphical SolutionsChapter 5.3 - Solving Systems Of Two Linear Equations In Two Unknowns AlgebraicallyChapter 5.4 - Solving Systems Of Two Linear Equations In Two Unknowns By DeterminantsChapter 5.5 - Solving Systems Of Three Linear Equations In Three Unknowns AlgebraicallyChapter 5.6 - Solving Systems Of Three Linear Equations In Three Unknowns By DeterminantsChapter 6 - Factoring And FractionsChapter 6.1 - Factoring: Greatest Common Factor And Difference Of SquaresChapter 6.2 - Factoring TrinomialsChapter 6.3 - The Sum And Difference Of CubesChapter 6.4 - Equivalent FractionsChapter 6.5 - Multiplication And Division Of FractionsChapter 6.6 - Addition And Subtraction Of FractionsChapter 6.7 - Equations Involving FractionsChapter 7 - Quadratic EquationsChapter 7.1 - Quadratic Equations; Solution By FactoringChapter 7.2 - Completing The SquareChapter 7.3 - The Quadratic FormulaChapter 7.4 - The Graph Of The Quadratic FunctionChapter 8 - Trigonometric Functions Of Any AngleChapter 8.1 - Signs Of The Trigonometric FunctionsChapter 8.2 - Trigonometric Functions Of Any AngleChapter 8.3 - RadiansChapter 8.4 - Applications Of Radian MeasureChapter 9 - Vectors And Oblique TrianglesChapter 9.1 - Introduction Of VectorsChapter 9.2 - Components Of VectorsChapter 9.3 - Vector Addition By ComponentsChapter 9.4 - Applications Of VectorsChapter 9.5 - Oblique Triangles, The Law Of SinesChapter 9.6 - The Law Of CosinesChapter 10 - Graphs Of The Trigonometric FunctionsChapter 10.1 - Graphs Of Y = A Sin X And Y = A Cos XChapter 10.2 - Graphs Of Y = A Sin Bx And Y = A Cos BxChapter 10.3 - Graphs Of Y = A Sin (bx + C) And Y = Csc (bx + C)Chapter 10.4 - Graphs Of Y = Tan X, Y = Cot X, Y = Sec X, Y = Csc XChapter 10.5 - Applications Of The Trigonometric GraphsChapter 10.6 - Composite Trigonometric CurvesChapter 11 - Exponents And RadicalsChapter 11.1 - Simplifying Expressions With Integer ExponentsChapter 11.2 - Fractional ExponentsChapter 11.3 - Simplest Radical FormChapter 11.4 - Addition And Subtraction Of RadicalsChapter 11.5 - Multiplication And Division Of RadicalsChapter 12 - Complex NumbersChapter 12.1 - Basic DefinitionsChapter 12.2 - Basic Operations With Complex NumbersChapter 12.3 - Graphical Representation Of Complex NumbersChapter 12.4 - Polar Form Of A Complex NumberChapter 12.5 - Exponential Form Of A Complex NumberChapter 12.6 - Products, Quotients, Powers, And Roots Of Complex NumbersChapter 12.7 - An Application To Alternating-current (ac) CircuitsChapter 13 - Exponential And Logarithmic FunctionsChapter 13.1 - Exponential FunctionsChapter 13.2 - Logarithmic FunctionsChapter 13.3 - Properties Of LogarithmsChapter 13.4 - Logarithms To The Base 10Chapter 13.5 - Natural LogarithmsChapter 13.6 - Exponential And Logarithmic EquationsChapter 13.7 - Graphs On Logarithmic And Semilogarithmic PaperChapter 14 - Additional Types Of Equations And Systems Of EquationsChapter 14.1 - Graphical Solution Of Systems Of EquationsChapter 14.2 - Algebraic Solution Of Systems Of EquationsChapter 14.3 - Equations In Quadratic FormChapter 14.4 - Equations With RadicalsChapter 15 - Equations Of Higher DegreeChapter 15.1 - The Remainder And Factor Theorems; Synthetic DivisionChapter 15.2 - The Roots Of An EquationChapter 15.3 - Rational And Irrational RootsChapter 16 - Matrices; Systmes Of Linear EquationsChapter 16.1 - Matrices: Definitions And Basic OperationsChapter 16.2 - Multiplication Of MatricesChapter 16.3 - Finding The Inverse Of A MatrixChapter 16.4 - Matrices And Linear EquationsChapter 16.5 - Gaussian EliminationChapter 16.6 - Higher-order DeterminantsChapter 17 - InequalitiesChapter 17.1 - Properties Of InequalitiesChapter 17.2 - Solving Linear InequalitiesChapter 17.3 - Solving Nonlinear InequalitiesChapter 17.4 - Inequalities Involving Absolute ValuesChapter 17.5 - Graphical Solution Of Inequalities With Two VariablesChapter 17.6 - Linear ProgrammingChapter 18 - VariationChapter 18.1 - Ratio And ProportionChapter 18.2 - VariationChapter 19 - Sequences And The Binomial TheoremChapter 19.1 - Arithmetic SequencesChapter 19.2 - Geometric SequencesChapter 19.3 - Infinite Geometric SeriesChapter 19.4 - The Binomial TheoremChapter 20 - Additional Topics In TrigonometryChapter 20.1 - Fundamental Trigonometric IdentitiesChapter 20.2 - The Sum And Difference FormulasChapter 20.3 - Double-angle FormulasChapter 20.4 - Half-angle FormulasChapter 20.5 - Solving Trigonometric EquationsChapter 20.6 - The Inverse Trigonometric FunctionsChapter 21 - Plane Analytic GeometryChapter 21.1 - Basic DefinitionsChapter 21.2 - The Straight LineChapter 21.3 - The CircleChapter 21.4 - The ParabolaChapter 21.5 - The EllipseChapter 21.6 - The HyperbolaChapter 21.7 - Translation Of AxesChapter 21.8 - The Second-degree EquationChapter 21.9 - Rotation Of AxesChapter 21.10 - Polar CoordinatesChapter 21.11 - Curves In Polar CoordinatesChapter 22 - Introduction To StatisticsChapter 22.1 - Graphical Displays Of DataChapter 22.2 - Measures Of Central TendencyChapter 22.3 - Standard DeviationChapter 22.4 - Normal DistributionChapter 22.5 - Statistical Process ControlChapter 22.6 - Linear RegressionChapter 22.7 - Nonlinear RegressionChapter 23 - The DerivativeChapter 23.1 - LimitsChapter 23.2 - The Slope Of A Tangent To A CurveChapter 23.3 - The DerivativeChapter 23.4 - The Derivative As An Instantaneous Rate Of ChangeChapter 23.5 - Derivatives Of PolynomialsChapter 23.6 - Derivatives Of Products And Quotients Of FunctionsChapter 23.7 - The Derivative Of A Power Of A FunctionChapter 23.8 - Differentiation Of Implicit FunctionChapter 23.9 - Higher DerivativesChapter 24 - Applications Of The DerivativeChapter 24.1 - Tangents And NormalsChapter 24.2 - Newton's Method For Solving EquationsChapter 24.3 - Curvilinear MotionChapter 24.4 - Related RatesChapter 24.5 - Using Derivatives In Curve SketchingChapter 24.6 - More On Curve SketchingChapter 24.7 - Applied Maximum And Minimum ProblemsChapter 24.8 - Differentials And Linear ApproximationsChapter 25 - IntegrationChapter 25.1 - AntiderivativesChapter 25.2 - The Definite IntegralChapter 25.3 - The Area Under A CurveChapter 25.4 - The Definite IntegralChapter 25.5 - Numerical Integration: The Trapezoidal RuleChapter 25.6 - Simpson's RuleChapter 26 - Applications Of IntegrationChapter 26.1 - Applications Of The Definite IntegrationChapter 26.2 - Areas By IntegrationChapter 26.3 - Volumes By IntegrationChapter 26.4 - CentroidsChapter 26.5 - Moments Of InertiaChapter 26.6 - Other ApplicationsChapter 27 - Differentiation Of Transcendental FunctionsChapter 27.1 - Derivative Of The Sine And Cosine FunctionsChapter 27.2 - Derivatives Of The Other Trigonometric FunctionsChapter 27.3 - Derivatives Of The Inverse Trigonometric FunctionsChapter 27.4 - ApplicationsChapter 27.5 - Derivative Of The Logarithmic FunctionChapter 27.6 - Derivative Of The Exponential FunctionChapter 27.7 - L'hospital's RuleChapter 27.8 - ApplicationChapter 28 - Methods Of IntegrationChapter 28.1 - The Power Rule For IntegrationChapter 28.2 - The Basic Logarithmic FormChapter 28.3 - The Exponential FormChapter 28.4 - Basic Trigonometric FormsChapter 28.5 - Other Trigonometric FormsChapter 28.6 - Inverse Trigonometric FormsChapter 28.7 - Integration By PartsChapter 28.8 - Integration By Trigonometric SubstitutionChapter 28.9 - Integration By Partial Fractions: Nonrepeated Linear FractionsChapter 28.10 - Integration By Partial Fractions: Other CasesChapter 28.11 - Integration By Use Of TablesChapter 29 - Partial Derivatives And Double IntegralsChapter 29.1 - Functions Of Two VariablesChapter 29.2 - Curves And Surfaces In Three DimensionsChapter 29.3 - Partial DerivativesChapter 29.4 - Double IntegralsChapter 30 - Expansion Of Functions In SeriesChapter 30.1 - Infinite SeriesChapter 30.2 - Maclaurin SeriesChapter 30.3 - Operations With SeriesChapter 30.4 - Computations By Use Of Series ExpansionsChapter 30.5 - Taylor SeriesChapter 30.6 - Introduction To Fourier SeriesChapter 30.7 - More About Fourier SeriesChapter 31 - Differential EquationsChapter 31.1 - Solutions Of Differential EquationsChapter 31.2 - Separation Of VariablesChapter 31.3 - Integrating CombinationsChapter 31.4 - The Linear Differential Equation Of The First OrderChapter 31.5 - Numerical Solutions Of First-order EquationsChapter 31.6 - Elementary ApplicationsChapter 31.7 - Higher-order Homogeneous EquationsChapter 31.8 - Auxillary Equation With Repeated Or Complex RootsChapter 31.9 - Solutions Of Nonhomogeneous EquationsChapter 31.10 - Applications Of Higher-order EquationsChapter 31.11 - Laplace TransformsChapter 31.12 - Solving Differential Equations By Laplace Transforms
Book Details
For courses in technical and pre-engineering technical programs or other programs for which coverage of basic mathematics is required.
The best-seller in technical mathematics gets an "Oh, wow!" update
The 11th Edition of Basic Technical Mathematics with Calculus is a bold revision of this classic best-seller. The text now sports an engaging full-color design, and new co-author Rich Evans has introduced a wealth of relevant applications and improvements, many based on user feedback. The text is supported by an all-new online graphing calculator manual, accessible at point-of-use via short URLs. The new edition continues to feature a vast number of applications from technical and pre-engineering fields-including computer design, electronics, solar energy, lasers fiber optics, and the environment-and aims to develop students' understanding of mathematical methods without simply providing a collection of formulas. The authors start the text by establishing a solid background in algebra and trigonometry, recognizing the importance of these topics for success in solving applied problems.
Sample Solutions for this Textbook
We offer sample solutions for MyMathlab with Pearson eText -- Standalone Access Card -- for Basic Technical Mathematics with Calculus (11th Edition) (MyLab Math) homework problems. See examples below:
The given statement is “The absolute value of any real number is positive”. The distance between the...From the given figure it is observed that, the angle ∠AOC and ∠COB makes a straight line. That is,...Calculation: The given statement is f(−x)=−f(x) for any function f(x)”. Consider the function...Definition: Third quadrant angle: “An angle is called third quadrant angle, if the angle lies in...Definition used: The solution of the linear equation ax+by=c is a pair of numbers, one for each...Expand the expression (2a−3)2 as, (2a−3)2=(2a)2−2(2a)(3)+(3)2 (∵(a−b)2=a2−2ab+b2)=4a2−12a+9 Thus,...Given: The given statement is “The solution of the equation x2−2x=0 is x=2”. Calculation: Consider...It is a known fact that all trigonometric ratios are positive in the first quadrant (0° to 90°). The...A vector should have magnitude and direction. Let A and B are two vectors of magnitudes A and B...
The given function is, y=2cosx and the point is (π,−2). Substitute x=π and y=−2 in y=2cosx....Rule used: The exponent rule: a0=1 where a≠0. Calculation: Given that, the equation is 2x0=1....Result used: The imaginary unit −1 is denoted by the symbol j. In other words, j=−1 and j2=−1....Definition used: The exponential function is defined as y=bx, where b>0,b≠1 and x is any real...The given statement is, “To get the calculator display of the equation 2x2+y2=4, let y1=4−2x2.” Note...Procedure used: Procedure for Synthetic Division: “1. Write the coefficients of f(x). Be certain...Check the matrix operation as follows: 2[3−102]=[6−202][6−204]≠[6−202]LHS≠RHS Hence,...Consider the inequality 1<x<−3. The given inequality 1<x<−3 can be written as 1<x and...The ratio of 25 cm to 50 mm is computed as, 25 cm50 mm=250 mm50 mm=5 That is, the ratio of 25 cm to...Definition used: n terms: The nth term of the arithmetic sequence is given by an=a1+(n−1)d, where an...Formula used: The Basic Trigonometric Identity: tanθ=sinθcosθ. Calculation: The given identity is...Formula used: The formula for distance between any two points d=(x2−x1)2−(y2−y1)2. Calculation: Find...Definition used: The relative frequency of a given data is found by dividing the frequency by the...Formula used: The limit of a function f(x) is that value of the limit of the function approaches as...Differentiate y with respect to the x. y=ddx(3x2−5)dydx=3(2x)−5=6x−5 Slope of tangent of the curve...Given that the equation is ∫(3x2+1)5dx=16(3x2+1)6+C. Evaluate the left hand side of the given...Consider the give statement. Let the initial velocity of an object be v0. Since the horizontal...Formula used: The derivative of sinu is d(sinu)dx=cosududx. Calculation: Evaluate the derivative of...Formula used: Log rule for integration: ∫duu=ln|u|+C Calculation: The given integral is ∫dx1+2x....It is given that if the function is f(x,y)=2x2y−y22xy, then f(y2,x)=2xy4−x22x2y . Replace x=y2 and...Result used: Let ∑n=0∞a1rn be a geometric series of terms, the partial sums Sn represents the sum...Definition used: “A solution of a differential equation is a relation between the variables that...
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