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Definition 1 (Differential Equation)
A differential equation is a relation between the independent, dependent variables and their differential coefficients. Example:..
A differential equation is a relation between the independent, dependent variables and their differential coefficients. Example:..The total cost of tickets is a function of number of tickets purchased..
The total cost of tickets is a function of number of tickets purchased. Which of the statements is true? => The total cost of tickets is the dependent variable. or The total cost of tickets is the independent variable. or Insufficient data. or There is no rel..
The total cost of apples that Jack purchased is a function of number ..
The total cost of apples that Jack purchased is a function of number of apples. Which of the statements is true? => The total cost of apples is the independent variable. or There is no relation between the number of apples and the total cost. or Insufficient data or The total co..
The radius of a circle is r. If the area of the circle is given as A =..
The radius of a circle is r . If the area of the circle is given as A = π r 2 , then which of the following is true? => r is a dependent variable or A is an independent variable or A is a dependent variable or π is a dependent..
Differentiation
Introduction - The derivative, measures the rate at which the dependent variable changes with respect to the independent variable. It is one of the most important ideas in Calculus. The differentiation of functions are widely used in science, economics, medic..
More Solved Examples
The mathematical concept of a function expresses the intuitive idea of deterministic dependence between two quantities, one of which is viewed as primary (the independent variable, argument of the function, or its "input") and the other as secondary (the value of..
The side of a cube is a. If the volume of the cube is given as V = a3..
The side of a cube is a . If the volume of the cube is given as V = a 3 , then which of the following is true? => a 2 is a dependent variable or a is a dependent variable or V is a dependent variable or V is an independent v..
Module Three: Anticipating Patterns
Probability: Interpreting probability, including long-run relative frequency interpretation 'Law of Large Numbers' concept Addition rule, multiplication rule, conditional probability, and independence Discrete random variables and their probability distributions, includin..
Probability: Interpreting probability, including long-run relative frequency interpretation 'Law of Large Numbers' concept Addition rule, multiplication rule, conditional probability, and independence Discrete random variables and their probability distributions, includin..State properties
State variables and functions may posses either extensive or intensive properties. Extensive properties are those, whose values depend on the quantity of matter contained in any system or size of the system. Typical properties are mass, volume, area, energy, number of moles, en..
Introduction to Differentiation
Introduction to Differentiation - After having studied functions, limits and continuity in the previous chapter, we shall further divide the class of continuous functions into two sub classes, derivable and non-derivable.After having studied functions, limits and continuity in the previous chapter,..
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