Richard N. Aufmann, Richard D. Nation
ISBN #9780618447022
1st Edition
3,029 Questions
Homework Questions
Essentials of Precalculus is a comprehensive guide that builds a strong foundation in mathematical concepts through a logical progression of topics from basic functions and graphs to advanced applications. The book begins by exploring the behavior of functions and the techniques of graphing, gradually moving to the intricacies of polynomial, rational, exponential, and logarithmic functions while highlighting their real-world applications. It further delves into the realm of trigonometry by explaining both its theoretical underpinnings and practical problem-solving strategies, including the use of identities and the Law of Sines and Cosines. Ultimately, the text interweaves these concepts with additional topics such as conic sections, polar coordinates, and fractals, offering readers a unified view of mathematics that spans multiple disciplines.
Chapter 1
Functions and Graphs
Chapter 2
Polynomial and Rational Functions
Chapter 3
Exponential and Logarithmic Functions
Chapter 4
Trigonometric Functions
Chapter 5
Applications of Trigonometry and Trigonometric Identities
Chapter 6
Additional Topics in Mathematics
Problem 1
If $\$ 8000$ is invested at an annual interest rate of $5 \%$ and compounded annually, find the balance after a. 4 years b. 7 years
Lauren Shelton Numerade Educator
Problem 2
In Exercises 1 to $12,$ find the measure (if possible) of the complement and the supplement of each angle. $$15^{\circ}$$
Chris Wojturski Numerade Educator
Problem 3
Find the values of the six trigonometric functions of $\theta$ for the right triangle with the given sides. (GRAPH CAN'T COPY)
Harsh Gadhiya Numerade Educator
Problem 4
Solve and check each equation. $$1.2 x+10=40$$
Julie Silva Numerade Educator
Problem 5
Find the vertex, focus, and directrix of each parabola; find the center, vertices, and foci of each ellipse; and find the center, vertices, foci, and asymptotes of each hyperbola. Graph each conic. $$x^{2}=-4 y$$
James Kiss Numerade Educator
Problem 6
Assume that the given function has an inverse function. Given $f(3)=7,$ find $f^{-1}(7)$
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