Exponential and Logarithmic Integration. Riemann Sums and Area by Limit Definition. Differential Equations and Slope Fields. Antiderivatives and Indefinite Integration, including Trig Integration. Derivatives and Integrals of Inverse Trig Functions. Exponential and Logarithmic Differentiation. Differentials, Linear Approximation, and Error Propagation. Curve Sketching, including Rolle’s Theorem and Mean Value Theorem. Implicit Differentiation and Related Rates. Equation of the Tangent Line, Tangent Line Approximation, and Rates of Change. Basic Differentiation Rules: Constant, Power, Product, Quotient, and Trig Rules. Differential Calculus Quick Study Guide. Polar Coordinates, Equations, and Graphs. Law of Sines and Cosines, and Areas of Triangles. Linear and Angular Speeds, Area of Sectors, and Length of Arcs. Conics: Circles, Parabolas, Ellipses, and Hyperbolas. Graphing and Finding Roots of Polynomial Functions. Graphing Rational Functions, including Asymptotes. Rational Functions, Equations and Inequalities. Solving Systems using Reduced Row Echelon Form. The Matrix and Solving Systems with Matrices. Advanced Functions: Compositions, Even and Odd, and Extrema. Imaginary (Non-Real) and Complex Numbers. Solving Radical Equations and Inequalities. Solving Absolute Value Equations and Inequalities. Solving Quadratics by Factoring and Completing the Square. Introduction to Multiplying Polynomials. Scatter Plots, Correlation, and Regression. Algebraic Functions, including Domain and Range. Systems of Linear Equations and Word Problems. Introduction to the Graphing Display Calculator (GDC). Direct, Inverse, Joint and Combined Variation. Coordinate System and Graphing Lines including Inequalities. Types of Numbers and Algebraic Properties. Introduction to Statistics and Probability. Powers, Exponents, Radicals (Roots), and Scientific Notation. Multiplying and Dividing, including GCF and LCM. The domain for this function is all the real numbers R while the range of this function is all the integers I. The floor function also called the greatest integer function or integer value, gives the largest integer less than or equal to x. Two commonly used step functions are floor function and ceiling function. The graph looks staircase, they are a class of functions that have a graph that looks similar to a staircase. It is a piecewise function with a finite number of pieces. These functions are used a lot in the Electrical and Electronics engineering fields as they are used in Signals and systems. Represent this as a piecewise function and tell the price charged if Anil played the game for 13 minutes and Raju played for 20 minutes. PIECEWISE FUNCTION GRAPHS PLUS
Over 15 minutes costs Rs.15 plus Rs.1 per minute above 15 minutes.Over 6 and up to 15 minutes costs Rs.15.Question 2: An arcade game charges the following prices depending on the length of time: Question 1: Find the value of the following function at x = -2,10.
Augmented Assignment Operators in PythonĪbsolute Value Function Evaluating Piecewise Functions. Average and Instantaneous Rate of Change. Class 11 NCERT Solutions - Chapter 3 Trigonometric Function - Exercise 3.1. Class 11 NCERT Solutions - Chapter 7 Permutations And Combinations - Exercise 7.1. 
Difference Between Mean, Median, and Mode with Examples. What is the Difference between Interactive and Script Mode in Python Programming?. ISRO CS Syllabus for Scientist/Engineer Exam. ISRO CS Original Papers and Official Keys. 
GATE CS Original Papers and Official Keys.
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