The graph of the function y = f (x) is the set of all points in the plane, coordinates x, y which satisfy y = f(x). The graph of the function illustrates the behavior and properties of functions. To plot usually chosen several values of the argument x and for them calculate the corresponding values of the function y=f(x). For a more accurate and clear plotting, it is useful to find its point of intersection with the coordinate axes.

A triangle is called isosceles if it has two equal sides. They are called lateral. A third party is called an isosceles triangle. This triangle has a number of specific properties. The medians drawn to the sides are equal. Thus, in an isosceles triangle two different medians, one held to the base of the triangle, the second to the side.

The triangle is one of the basic geometric shapes. And only he has the "wonderful" points. These include, for example, the center of gravity point, which accounts for the weight of the entire figure. Where is this wonderful spot and how to find it?

The application of geometry in practice, especially in construction is obvious. A-line one of the most common geometric figures, the calculation accuracy of the elements that the beauty of the building.

The graphs of two functions on a common interval to form a certain figure. To calculate its area, we must integrate the difference function. The boundaries of the common interval may be defined or to be the points of intersection of two graphs.

A tetrahedron in solid geometry is called a polyhedron, which consists of four triangular faces. The tetrahedron has 6 edges and 4 faces, and vertices. If the tetrahedron all faces are right triangles, then the tetrahedron is regular. The surface area of any polyhedron including a tetrahedron can be calculatedknowing the area of its faces.

When plotting functions it is necessary to determine the points of maxima and minima, intervals of monotony of the function. To answer these questions the first thing you need to find the critical points, i.e. such points determine the function at which the derivative does not exist or is zero.

Let some of this video, given a linear equation, and the point specified by its coordinates (x0, y0) not lying on this line. You want to find a point that would be symmetrical to this point relative to this straight line, that is, agree with it, mentally if the plane is folded in half along this line.

The circle is the locus of points in the plane equidistant from the center a certain distance, called radius. If set to zero the reference point of the unit segment and the direction of the coordinate axes, the center of the circle will be characterized by certain coordinates. As a rule, consider a circle in the Cartesian rectangular coordinate system.

The middle line of the triangle is the segment connecting the centers of two of its sides. Accordingly, all of the triangle the three middle lines. Knowing the property of the middle line, and the lengths of the sides of a triangle and its angles, it is possible to find average line length.

In elementary and higher mathematics found such a term as hyperbole. The so-called graph of the function, which does not pass through the origin and consists of two parallel curves. There are several ways of constructing the hyperbola.

The scope of the definition of the expression is the set of values for which this expression makes sense. To find the area of determining the best method of elimination - discarding all the values at which the expression loses its mathematical meaning.

A prism is a polyhedron, the base of which are located in parallel planes, and its lateral faces are parallelograms. Height of a prism is a segment that connects both the base and perpendicular to each of them.

The number e is constant and is approximately equal to 2.7. There are different cases for finding derivative of exponential function whose base is the number E.

According to the curriculum in mathematics the children should learn to solve problems on motion in elementary school. However, problems of this kind often cause students difficulty. It is important that the child understand what our own speed, the speed of the flow speed and the speed against the current. Only under this condition, the student will be able to easily solve problems on the motion.

Regular polygons meet in life every day, for example, square, triangle or hexagon, in the form which is made all the honeycomb. To construct a regular polygon by yourself, you need to know the angles.

When solving problems with parameters it is important to understand the condition. Solve the equation with the – a option means to write the answer to any of the possible values of the parameter. The answer should reflect the enumeration of the whole number line.

Area of base of cone is a circle. To find its area we need to know the radius of the circle that contains the circle, or any other data, calculations which are mathematically related to the square of the base of the cone.

A triangle is a geometric figure which has the minimum possible for polygons the number of sides and vertices and is therefore the simplest figure which has angles. We can say that this is the most "deserved" a polygon in the history of mathematics: it was used for removing a large number of trigonometric functions and theorems. And among these basic shapes, there are easier and less. The first is an isosceles triangle consisting of equal sides and the base.

Polynomial – an algebraic structure that represents the sum or difference of elements. Most ready-made formulas for dushanov, however, to bring the new structures of higher order is not too difficult. You can, for example, to build a trinomial into the square.

MathCAD has built-in tools to compute derivatives of any complexity. Calculus on the panel is a button shortcut for this tool. The program gives the result after a call to operator analytic calculation.

The gradient function is a vector quantity, the presence of which is associated with the definition of partial derivatives of the function. The direction of the gradient indicates the path of speedy growth of the function from one point to another scalar field.

An arithmetic sequence is a sequence of numbers where each new number is obtained by adding a certain number to the previous. The number n is the number of members of an arithmetic progression. There are formulas that connect the parameters of the arithmetic progression, which can be expressed in n.

Cross-section of a polyhedron is a plane that crosses her face. Depending on original data there are many methods of constructing a section. Consider the case when the three points of the cross sectionlying at different edges of the polyhedron. In this case, the build section is conducted straight through points lying on one straight line, and then searched for direct re- section of the faces with the plane of the cross section.

In the school curriculum often have to deal with the solution of quadratic equations of the type: ax2 + bx + c = 0 where a, b, the first and second coefficients of a quadratic equation, free member. Using the value of its discriminant, you can determine the equation of the decision or not, and if so, how much.

To solve the problem with fractions, you need to learn how to do arithmetic. They can be decimal, but most often uses natural fraction with the numerator and denominator. Only after that you can go to to solve math problems with fractional quantities.

Exponent in mathematics is called the value of the exponential function. That is, the number "e" raised to the power "x". The value of "e" for approximate calculations can be taken equal to 2.7. However, despite the simplicity of the definition, without a calculator or computer is not enough. And counting exponents on the computer is not as simple as it seems.

Knowing sides of the triangle, find the radius of the inscribed circle. The formula to find the radius and then the circumference and area of a circle, as well as other parameters.

In mathematics there are many different types of equations. Among the differential also distinguish several subtypes. You can distinguish them on a number of essential characteristics common to a particular group.

A square is a regular quadrilateral (or rhombus), in which all the angles are straight, and the sides are equal. Like any other regular polygon, square , you can calculate the perimeter and area. If the area of the square is already known, then to find his side, and then the perimeter will not be difficult.