Solutions for MAT 171 ACCESS CODE
Problem 1SP:
Write each expression in terms of i . a.81b.50c.11Problem 2SP:
Simplify. a.i13b.i103c.i64d.i30Problem 4SP:
Multiply. Write the result in the form a+bi . 5+4i3iProblem 11SP:
Solve. 2t2/3=157t1/3Problem 1PE:
The imaginary number i is defined so that i=1andi2=.Problem 2PE:
For a positive real number b, the value b=.Problem 3PE:
Given a complex number a+bi , the value of a is called the part and the value of b is called the ...Problem 5PE:
The equation m2/3+10m1/3+9=0 is said to be in form, because making the substitution u= results in a...Problem 6PE:
Consider the equation 4x2+12+44x2+1+4=0. if the substitution u= is made, then the equation becomes...Problem 7PE:
For Exercises 7-18, write each expression in terms of i and simplify. (See Example 1) 121Problem 8PE:
For Exercises 7-18, write each expression in terms of i and simplify. (See Example 1) 100Problem 9PE:
For Exercises 7-18, write each expression in terms of i and simplify. (See Example 1) 98Problem 11PE:
For Exercises 7-18, write each expression in terms of i and simplify. (See Example 1) 49Problem 12PE:
For Exercises 7-18, write each expression in terms of i and simplify. (See Example 1) 136Problem 13PE:
For Exercises 7-18, write each expression in terms of i and simplify. (See Example 1) 105Problem 14PE:
For Exercises 7-18, write each expression in terms of i and simplify. (See Example 1) 615Problem 15PE:
For Exercises 7-18, write each expression in terms of i and simplify. (See Example 1) 982Problem 16PE:
For Exercises 7-18, write each expression in terms of i and simplify. (See Example 1) 455Problem 17PE:
For Exercises 7-18, write each expression in terms of i and simplify. (See Example 1) 637Problem 19PE:
For Exercises 19-26, simplify each expression and write the result in standard form, a+bi. 8+3i14Problem 20PE:
For Exercises 19-26, simplify each expression and write the result in standard form, a+bi. 4+5i6Problem 21PE:
For Exercises 19-26, simplify each expression and write the result in standard form, a+bi. 46i2Problem 22PE:
For Exercises 19-26, simplify each expression and write the result in standard form, a+bi. 915i3Problem 23PE:
For Exercises 19-26, simplify each expression and write the result in standard form, a+bi. 18+484Problem 24PE:
For Exercises 19-26, simplify each expression and write the result in standard form, a+bi. 20+5010Problem 25PE:
For Exercises 19-26, simplify each expression and write the result in standard form, a+bi. 14987Problem 26PE:
For Exercises 19-26, simplify each expression and write the result in standard form, a+bi. 10+1255Problem 31PE:
For Exercises 31-56, perform the indicated operations. Write the answers in standard form, a+bi....Problem 33PE:
For Exercises 31-56, perform the indicated operations. Write the answers in standard form, a+bi....Problem 34PE:
For Exercises 31-56, perform the indicated operations. Write the answers in standard form, a+bi....Problem 35PE:
For Exercises 31-56, perform the indicated operations. Write the answers in standard form, a+bi....Problem 37PE:
For Exercises 31-56, perform the indicated operations. Write the answers in standard form, a+bi....Problem 39PE:
For Exercises 31-56, perform the indicated operations. Write the answers in standard form, a+bi....Problem 40PE:
For Exercises 31-56, perform the indicated operations. Write the answers in standard form, a+bi....Problem 41PE:
For Exercises 31-56, perform the indicated operations. Write the answers in standard form, a+bi....Problem 42PE:
For Exercises 31-56, perform the indicated operations. Write the answers in standard form, a+bi....Problem 43PE:
For Exercises 31-56, perform the indicated operations. Write the answers in standard form, a+bi....Problem 45PE:
For Exercises 31-56, perform the indicated operations. Write the answers in standard form, a+bi....Problem 47PE:
For Exercises 31-56, perform the indicated operations. Write the answers in standard form, a+bi....Problem 48PE:
For Exercises 31-56, perform the indicated operations. Write the answers in standard form, a+bi....Problem 49PE:
For Exercises 31-56, perform the indicated operations. Write the answers in standard form, a+bi....Problem 50PE:
For Exercises 31-56, perform the indicated operations. Write the answers in standard form, a+bi....Problem 51PE:
For Exercises 31-56, perform the indicated operations. Write the answers in standard form, a+bi....Problem 53PE:
For Exercises 31-56, perform the indicated operations. Write the answers in standard form, a+bi....Problem 54PE:
For Exercises 31-56, perform the indicated operations. Write the answers in standard form, a+bi....Problem 55PE:
For Exercises 31-56, perform the indicated operations. Write the answers in standard form, a+bi....Problem 56PE:
For Exercises 31-56, perform the indicated operations. Write the answers in standard form, a+bi....Problem 73PE:
For Exercises 73-80, (a) evaluate the discriminant and (b) determine the number and type of...Problem 74PE:
For Exercises 73-80, (a) evaluate the discriminant and (b) determine the number and type of...Problem 75PE:
For Exercises 73-80, (a) evaluate the discriminant and (b) determine the number and type of...Problem 76PE:
For Exercises 73-80, (a) evaluate the discriminant and (b) determine the number and type of...Problem 77PE:
For Exercises 73-80, (a) evaluate the discriminant and (b) determine the number and type of...Problem 78PE:
For Exercises 73-80, (a) evaluate the discriminant and (b) determine the number and type of...Problem 79PE:
For Exercises 73-80, (a) evaluate the discriminant and (b) determine the number and type of...Problem 80PE:
For Exercises 73-80, (a) evaluate the discriminant and (b) determine the number and type of...Problem 81PE:
For Exercises 81-100, make an appropriate substitution and solve the equation. (See Examples 10-11)...Problem 82PE:
For Exercises 81-100, make an appropriate substitution and solve the equation. (See Examples 10-11)...Problem 83PE:
For Exercises 81-100, make an appropriate substitution and solve the equation. (See Examples 10-11)...Problem 84PE:
For Exercises 81-100, make an appropriate substitution and solve the equation. (See Examples 10-11)...Problem 85PE:
For Exercises 81-100, make an appropriate substitution and solve the equation. (See Examples 10-11)...Problem 86PE:
For Exercises 81-100, make an appropriate substitution and solve the equation. (See Examples 10-11)...Problem 87PE:
For Exercises 81-100, make an appropriate substitution and solve the equation. (See Examples 10-11)...Problem 88PE:
For Exercises 81-100, make an appropriate substitution and solve the equation. (See Examples 10-11)...Problem 89PE:
For Exercises 81-100, make an appropriate substitution and solve the equation. (See Examples 10-11)...Problem 90PE:
For Exercises 81-100, make an appropriate substitution and solve the equation. (See Examples 10-11)...Problem 91PE:
For Exercises 81-100, make an appropriate substitution and solve the equation. (See Examples 10-11)...Problem 92PE:
For Exercises 81-100, make an appropriate substitution and solve the equation. (See Examples 10-11)...Problem 93PE:
For Exercises 81-100, make an appropriate substitution and solve the equation. (See Examples 10-11)...Problem 94PE:
For Exercises 81-100, make an appropriate substitution and solve the equation. (See Examples 10-11)...Problem 95PE:
For Exercises 81-100, make an appropriate substitution and solve the equation. (See Examples 10-11)...Problem 96PE:
For Exercises 81-100, make an appropriate substitution and solve the equation. (See Examples 10-11)...Problem 97PE:
For Exercises 81-100, make an appropriate substitution and solve the equation. (See Examples 10-11)...Problem 98PE:
For Exercises 81-100, make an appropriate substitution and solve the equation. (See Examples 10-11)...Problem 99PE:
For Exercises 81-100, make an appropriate substitution and solve the equation. (See Examples 10-11)...Problem 100PE:
For Exercises 81-100, make an appropriate substitution and solve the equation. (See Examples 10-11)...Problem 101PE:
For Exercises 101-104, verify by substitution that the given values of x are solutions to the given...Problem 102PE:
For Exercises 101-104, verify by substitution that the given values of x are solutions to the given...Problem 103PE:
For Exercises 101-104, verify by substitution that the given values of x are solutions to the given...Problem 104PE:
For Exercises 101-104, verify by substitution that the given values of x are solutions to the given...Problem 105PE:
Prove thata+bic+di=acbd+ad+bci.Problem 106PE:
Prove that a+bi2=a2b2+2abi.Problem 107PE:
For Exercises 107-108, solve the equation in two ways. a. Solve as a radical equation by first...Problem 108PE:
For Exercises 107-108, solve the equation in two ways. a. Solve as a radical equation by first...Problem 109PE:
Explain the flaw in the following logic. 94=94=36=6Problem 110PE:
Discuss the difference between the products a+babanda+biabi.Problem 112PE:
Give an example of two complex numbers that are not real numbers, but whose product is a real...Problem 113PE:
Given a quadratic equation, what is the discriminant and what information does it provide about the...Problem 115PE:
For Exercise 115-120, factor the expressions over the set of complex numbers. For assistance,...Problem 116PE:
For Exercise 115-120, factor the expressions over the set of complex numbers. For assistance,...Problem 117PE:
For Exercise 115-120, factor the expressions over the set of complex numbers. For assistance,...Problem 118PE:
For Exercise 115-120, factor the expressions over the set of complex numbers. For assistance,...Problem 119PE:
For Exercise 115-120, factor the expressions over the set of complex numbers. For assistance,...Problem 120PE:
For Exercise 115-120, factor the expressions over the set of complex numbers. For assistance,...Problem 121PE:
For Exercise 121-124, write an equation with integer coefficients and the variable x that has the...Problem 122PE:
For Exercise 121-124, write an equation with integer coefficients and the variable x that has the...Browse All Chapters of This Textbook
Chapter R - Review Of PrerequisitesChapter R.1 - Sets And The Real Number LineChapter R.2 - Exponents And RadicalsChapter R.3 - Polynomials And FactoringChapter R.4 - Rational Expressions And More Operations On RadicalsChapter R.5 - Equations With Real SolutionsChapter R.6 - Complex Numbers And More Quadratic EquationsChapter R.7 - Applications Of EquationsChapter R.8 - Linear, Compound, And Absolute Value InequalitiesChapter 1 - Functions And Relations
Chapter 1.1 - The Rectangular Coordinate System And Graphing UtilitiesChapter 1.2 - CirclesChapter 1.3 - Functions And RelationsChapter 1.4 - Linear Equations In Two Variables And Linear FunctionsChapter 1.5 - Applications Of Linear Equations And ModelingChapter 1.6 - Transformations Of GraphsChapter 1.7 - Analyzing Graphs Of Functions And Piecewise-defined FunctionsChapter 1.8 - Algebra Of Functions And Function CompositionChapter 2 - Polynomial And Rational FunctionsChapter 2.1 - Quadratic Functions And ApplicationsChapter 2.2 - Introduction To Polynomial FunctionsChapter 2.3 - Division Of Polynomials And The Remainder And Factor TheoremsChapter 2.4 - Zeros Of PolynomialsChapter 2.5 - Rational FunctionsChapter 2.6 - Polynomial And Rational InequalitiesChapter 2.7 - VariationChapter 3 - Exponential And Logarithmic FunctionsChapter 3.1 - Inverse FunctionsChapter 3.2 - Exponential FunctionsChapter 3.3 - Logarithmic FunctionsChapter 3.4 - Properties Of LogarithmsChapter 3.5 - Exponential And Logarithmic Equations And ApplicationsChapter 3.6 - Modeling With Exponential And Logarithmic FunctionsChapter 4 - Trigonometric FunctionsChapter 4.1 - Angles And Their MeasureChapter 4.2 - Trigonometric Functions Defined On The Unit CircleChapter 4.3 - Right Triangle TrigonometryChapter 4.4 - Trigonometric Functions Of Any AngleChapter 4.5 - Graphs Of Sine And Cosine FunctionsChapter 4.6 - Graphs Of Other Trigonometric FunctionsChapter 4.7 - Inverse Trigonometric FunctionsChapter 5 - Analytic TrigonometryChapter 5.1 - Fundamental Trigonometric IdentitiesChapter 5.2 - Sum And Difference FormulasChapter 5.3 - Double-angle, Power-reducing, And Half-angle FormulasChapter 5.4 - Product-to-sum And Sum-to-product FormulasChapter 5.5 - Trigonometric EquationsChapter 6 - Applications Of Trigonometric FunctionsChapter 6.1 - Applications Of Right TrianglesChapter 6.2 - The Law Of SinesChapter 6.3 - The Law Of CosinesChapter 6.4 - Harmonic MotionChapter 7 - Trigonometry Applied To Polar Coordinate Systems And VectorsChapter 7.1 - Polar CoordinatesChapter 7.2 - Graphs Of Polar EquationsChapter 7.3 - Complex Numbers In Polar FormChapter 7.4 - VectorsChapter 7.5 - Dot ProductChapter 8 - Systems Of Equations And InequalitiesChapter 8.1 - Systems Of Linear Equations In Two Variables And ApplicationsChapter 8.2 - Systems Of Linear Equations In Three Variables And ApplicationsChapter 8.3 - Partial Fraction DecompositionChapter 8.4 - Systems Of Nonlinear Equations In Two VariablesChapter 8.5 - Inequalities And Systems Of Inequalities In Two VariablesChapter 8.6 - Linear ProgrammingChapter 9 - Matrices And Determinants And ApplicationsChapter 9.1 - Solving Systems Of Linear Equations Using MatricesChapter 9.2 - Inconsistent Systems And Dependent EquationsChapter 9.3 - Operations On MatricesChapter 9.4 - Inverse Matrices And Matrix EquationsChapter 9.5 - Determinants And Cramer’s RuleChapter 10 - Analytic GeometryChapter 10.1 - The EllipseChapter 10.2 - The HyperbolaChapter 10.3 - The ParabolaChapter 10.4 - Rotation Of AxesChapter 10.5 - Polar Equations Of ConicsChapter 10.6 - Plane Curves And Parametric EquationsChapter 11 - Sequences, Series, Induction, And ProbabilityChapter 11.1 - Sequences And SeriesChapter 11.2 - Arithmetic Sequences And SeriesChapter 11.3 - Geometric Sequences And SeriesChapter 11.4 - Mathematical InductionChapter 11.5 - The Binomial TheoremChapter 11.6 - Principles Of CountingChapter 11.7 - Introduction To Probability
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