Sample 1 - Chartwell
... Students are shown how to solve quadratic inequalities using earlier work on sketching the quadratic function. The following slide shows one of the two types of solutions that arise. The notepad icon indicates that this is an important example that students may want to copy. ...
... Students are shown how to solve quadratic inequalities using earlier work on sketching the quadratic function. The following slide shows one of the two types of solutions that arise. The notepad icon indicates that this is an important example that students may want to copy. ...
Complex Numbers
... Given that z = x + iy, find the equation of the locus |z + 1| = 5 and draw the locus on an Argand diagram. ...
... Given that z = x + iy, find the equation of the locus |z + 1| = 5 and draw the locus on an Argand diagram. ...
Engineering Mathematics | CHEN30101 problem sheet 1 1. The
... the root to an accuracy of two digits. (Check your answer by trying both values as starting points.) 2. A tank is fed at a constant rate and also drains a second tank. In turn, this tank drains into a third tank. The volume of fluid in the tank varies like V = 10 − 9e−t − e−3t . Compute an accurate ...
... the root to an accuracy of two digits. (Check your answer by trying both values as starting points.) 2. A tank is fed at a constant rate and also drains a second tank. In turn, this tank drains into a third tank. The volume of fluid in the tank varies like V = 10 − 9e−t − e−3t . Compute an accurate ...
Take Home Review Packet Algebra 2 Midterm 2014
... 2. Ted just bought a new car for $17,500. Suppose the value of the car decreases by 18% each year. a. Write a recursive formula for calculating the value of the car after n years. b. ...
... 2. Ted just bought a new car for $17,500. Suppose the value of the car decreases by 18% each year. a. Write a recursive formula for calculating the value of the car after n years. b. ...
Equation
In mathematics, an equation is an equality containing one or more variables. Solving the equation consists of determining which values of the variables make the equality true. In this situation, variables are also known as unknowns and the values which satisfy the equality are known as solutions. An equation differs from an identity in that an equation is not necessarily true for all possible values of the variable.There are many types of equations, and they are found in all areas of mathematics; the techniques used to examine them differ according to their type.Algebra studies two main families of equations: polynomial equations and, among them, linear equations. Polynomial equations have the form P(X) = 0, where P is a polynomial. Linear equations have the form a(x) + b = 0, where a is a linear function and b is a vector. To solve them, one uses algorithmic or geometric techniques, coming from linear algebra or mathematical analysis. Changing the domain of a function can change the problem considerably. Algebra also studies Diophantine equations where the coefficients and solutions are integers. The techniques used are different and come from number theory. These equations are difficult in general; one often searches just to find the existence or absence of a solution, and, if they exist, to count the number of solutions.Geometry uses equations to describe geometric figures. The objective is now different, as equations are used to describe geometric properties. In this context, there are two large families of equations, Cartesian equations and parametric equations.Differential equations are equations involving one or more functions and their derivatives. They are solved by finding an expression for the function that does not involve derivatives. Differential equations are used to model real-life processes in areas such as physics, chemistry, biology, and economics.The ""="" symbol was invented by Robert Recorde (1510–1558), who considered that nothing could be more equal than parallel straight lines with the same length.