At transposing a square matrix its determinant: is not changing

At permutation of two lines a determinant of a matrix: changes the sign on opposite

An angle between vectors and can be found by the formula:

B

By definition function is called antiderivative for function on an interval , if function is differentiable on this interval and equality is executed:

C

Calculate a minor of an element of a matrix .

Calculate a determinant: = 0

Calculate a determinant: =6

Coordinates of one end of a segment and the middle are given. Find coordinates of the second end of a segment. (9;-8)

Calculate a determinant =2

Calculate a minor for a matrix = 1

Calculate product of matrixes =

Calculate the improper integral or to establish its divergence. Calculate the improper integral or to establish its divergence. 1 Calculate the improper integral or establish its divergence.

Calculate the improper integral or establish its divergence. Diverges

Calculate the integral =

Choose and in integral correctly.

Choose and in integral correctly.

Calculate the integral = ln 3

Calculate the area of the plane figure, limited by lines: .

Calculate the area of the plane figure, limited by lines: .

Calculate the integral =1

Calculate the integral =

Calculate the area of the plane figure, limited by lines: .

Calculate the integral =

Calculate the integral =0

D

Define the first remarkable limit:

Define the second remarkable limit:

Define the general equation of a straight line on a plane:

Define a condition of perpendicularity of straight lines and :

Define a general view of the equation of the straight line, which is passing through two given points.

Define the equation of a straight line with angular coefficient.

Define the formula of derivative of function .

Define the formula of derivative of function .

Define the formula of derivative of function , where .

Define the formula of derivative of function .

Define the formula of partial derivative of function on a variable :

Define the formula of derivative of function , where .

Define the formula of a partial increment of function on a variable :

Define the formula of a total increment of function in a point ?

Define the formula of derivative of function .

Define the formula of indefinite integral .

Define the formula of indefinite integral .

Define the formula of Newton-Leibniz.

Define the formula of indefinite integral .

Differential of indefinite integral is equal:

Define the formula of integration by parts in the indefinite integral.

Define the definition of improper integral of a kind .

Define the expedient substitution for a finding of integral .

Define the formula of indefinite integral .

Define the formula of derivative of logarithmic function .

Define the type of the differential equation .the differential equation with separable variables

Define the type of the differential equation .the incomplete differential equation

Define the type of the differential equation .the homogeneous differential equation

Define the formula of total differential of function .

F

Find an inverse matrix for a matrix .

Find a matrix , if the matrix is given.

Find matrix , if

Find the scalar product of vectors and . 4

Find , if , and an angle between vectors . 0

Find an angle between vectors and .

Find the length of a vector , if А(-1; 0; 2) and В(1; -2; 3). 3

Find a point of crossing of straight lines and . (1; 1)

Find coordinates of a midpoint, connecting points and . (1; -3)

Find the angular coefficient of a straight line :

Find a limit: =2

Find a limit: =

Find a limit: =

Find a limit: =

Find a limit: =0

Function is continuous in a point , if function is fixed in a point ( ) and in its some neighborhood the following equality is executed:

Function is increasing in some interval, if at ( ) the following inequality is executed:

Find a limit: =0

Find a distance between points and .

Function is called even, if the following equality is executed:

Find a limit: =

Find a limit: =

Function is given. Calculate =5

Function is called periodic function with period Т, if following equality is executed:

Find a limit: =

Find an inverse matrix , if .

Find the length of a vector =5

Find an angle between vectors and .

Find an angular coefficient of a straight line, parallel given straight line . 3

Find the equation of the straight line, which is passing through points and .

Find a limit: =

Find a limit: =

Find a limit =

Find the scalar product of vectors and , if and an angle between and is equal .

Find the scalar product of vectors and . --7

Find a limit: =3

Find a limit: =1.

Find a limit: =

Find a limit, using Lopital’s rule: = 0

Find a limit, using Lopital’s rule: =

Find a derivative of function .

Find the differential of function .

Find a domain of function =

Find intervals of decrease of function .

Find points of an extremum of function . - point of maximum, - point of minimum

Find intervals of increase of function .

Find points of an extremum of function . - point of maximum, - point of minimum

Find intervals of convexity for a curve .

Find intervals of concavity for a curve .

Function is given. Find a partial derivative .

Find the total differential of function .

Find , if function . (8;4)

Find , if function . (3; -2)

Find stationary points of function .(0;0)

Find , if function . (0;0;2)

Find a partial derivative of function .

Find a partial derivative of function .

Find a domain of function .

Find the integral .

Find the integral =

Find the integral =

Find the integral =

Find the integral =

Find the integral =

Find a domain of function

Find a derivative of function .

Find a limit, using Lopital’s rule: =

Find intervals of increase of function .

Find intervals of decrease of function .

Find vertical asymptotes of function .

Find horizontal asymptotes of function .

Find an intervals of convexity of function such interval is not exist

Find an intervals of concavity of function such interval is not exist

Find points of an extremum of function . - is a point of a minimum

Find a partial derivative , if function .

Find a partial derivative , if function .

Find the integral .

Find a domain of function .

Find the integral =

Find the integral =

Find the total differential of function .

Find a , if function . (0; -1)

Find stationary points of function . (-2;3)

Function is given. Calculate =6

H

Date: 2015-01-12; view: 1071