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ШПОРА матеша
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Let
$$
Let
and
:
$$
=
Let
Find
$$ 20
Let
function
is differentiated ……. the minimum point. $$
Let
function
is differentiated on $$
Let
function
with
domain: $$
Let
the
function
differentiable
….
point
of maximum $$
Let
the
function
differentiable
in
$$
Linear operations $$ addition, subtraction, multiply by a number
Methods The Cramer, Gauss, inverse matrix.
Module $$ area of a parallelogram
On the segment $$9
Segments. $$ the numerical
Select an expression corresponding
$$
Select the expression for the minor $$10
Set,
where
$$
Show
Maclaurirn $$
Show
the condition of $$
Show
the expansion of cosine
$$
Show
the
expansion of sine
$$
Solve
the equation
:
$$ -4
Solve
the equation:
$$ 0; 1
Solve
the equation:
4;
Solve
the given system:
Solve
the given system:
Solve
the system of
equations
by
Cramer
:
$$
Straights of this kind$$ the directrices
Test the following function $$9
The
between
The … of two sets А and В
$$ union (sum)
The canonical equation of ellipse
$$
The canonical equation of elliptical
$$
The
Cauchy theorem.
$$
The condition for coplanarity
$$
The
condition for two planes …..
to
be parallel is:
$$
The
condition for two planes ….. to be perpendicular is:
$$
The
distance
(d)
$$
The
equation of a plane $$
The
equation of a straight line in intervals is: $$
The
equation of a straight line passing through two points
as
follow:
$$
The
equation of a straight line with given slope passing through the
given point
as follow, $$
The
equation of asymptotes of a hyperbola is given by: $$
The
focal $$
The
foci of ellipse$$
The
foci of hyperbola $$
The
formula of a hyperbolic sine is: $$
The
function
is called as differentiable $$ continuous
The
function
is called………at the left. $$ continuous
The
function
with domain of function $$ inverse
The
function
is called asthis point. $$
differentiable
The
function is given
.
find
.
$$
The
function is given
.
Find
.
$$
The
function is given
.
Find
.$$8
The
function is given
.
Find
.
$$1,02
The
function is given
.
Find
.
$$24
The
function is given
with range of definition
.
…… condition is done:
$$
The
function is given.
Find
.
$$2
The general equation of a plane is:
$$
The
general equation of a plane, which is parallel Оу
axis is:
$$
The
general equation of a plane, which is parallel Ох
axis is:
$$
The
geometric sense of a derivative $$ at the point tequals
a slope of tangent at this point
The geometrical sense of integral
$$ the area of a curvilinear trapeze
The graph $$ the origin
The
hyperbola is given
,
define their semi axis: $$
The
hyperbolic cosine is equal: $$
The
hyperbolic cotangent is equal to: $$
The
hyperbolic tangent is equal: $$
The
indefinite integral of
is called …set
of all
antiderivatives of the continuous function.
The infinitesimals $$ equivalents
The
integral is
equal to: $$ 0
The
integrals
with
infinite
limits
is: $$ improper integral
The length $$ projection of the vector а, on the axis L.
The
line equation $$
The locus of points for which the distance $$ a parabola
The locus of points for which the sum
$$ an ellipse
The locus of the points for which the difference $$ a hyperbola
The
number value
The objects that elements
The operations of $$ integration a function
The
parallel
ss
The
perpendicular
ss
The
point
is called as point of
…
.
$$
maximum
The
point
is called point of
…
.
$$
minimum
The
point
,
at which
$$ critical
The
point
,
at which at least one
$$ the point of discontinuities
The
point of crossing $$
The rank of a matrix is equal to zero if and only if: $$ all elements of matrix equal to zero
The rank of the matrix of the system equations $$ 2
The
ratio
of half the
$$ an eccentricity
The
Roll theorem.
$$
The
scalar product $$
The
sequence …$$
The set consisting. $$ crossing (product)
The set of all points in the Оху,
$$ the graph
The set of all points of М plane $$ circle
The set which is not containing any element $$ the empty
The sets which elements are numbers $$ the numerical
The slope $$ 5
The
sum of two $$
The
three- intercept $$
The
triple product of the vectors
:
$$ 3
The
triple product of the vectors
is
equal to $$ 1
The
two vectors
$$
The
vector product of two vectors $$
The
vectors
lie
on same plane.
The velocity at a moment $$ mechanical
The
volume
of
a
pyramid,
$$
this
formula is called as: $$ the Newton- Leibniz
To
bring
the
integral
$$
To
define the equation of the plane which parallel to a coordinate plane
OXY.
$$
To
define the equation of the plane which parallel to the Oz
axis
$$
To
define the normal equation of a plane: $$
Two
sets are given $$
What
is a
minor
of
of
the matrix
n-th
order?
Determinant
of order (n
− 1)
that is formed by deleting the ith
row and …
What is a rank of matrix? The maximal order of a nonzero minor of this matrix.
What is a transpose matrix? A matrix which is formed by turning all the rows of a given
What is an identity matrix? The n×n square matrix with ones on the main diagonal and zeros elsewhere.
Which
of the following functions is odd? $$
Which
of the following lines will be parallel?
1)
;
2)
$$ 1 и
2
Which
of
the
following
planes
pass
through
the
origin of coordinates?
2)
$$ 2
Which system of equations is said to be consistent? If it has at least one solution.
Write
an equation of the line that passes through the point
and has slope
.
$$
Write
an equation of the plane which have a normal vector and passing
through the point
:
$$
Write
the equation of a circle with the center at the point
and with radius which equal to 3. $$
;
Write
the equation of a straight line passing through the origin: $$
Write
the equation of a straight line which parallel to the ОХ
axis: $$
Write
the equation of a straight line which parallel to the ОУ
axis: $$