Mathematics Answers 1 semester Test Synergy (90 points)

Mathematics Answers 1 semester Test Synergy (90 points)

Calculate the determinant of the system matrix
2x - 4y = 1
3x 4-5y = -2

Calculate the definite integral:

The antiderivative for the function x2 x has the form ...

The inequality - 8 <x <4 is satisfied by ... integers

Find AB - AC, where

The equation y xy ´-2 = 0 is ...
differential Bernoulli equation
linear inhomogeneous differential equation of the second order with constant coefficients
linear homogeneous second-order differential equation with constant coefficients
differential equation with separable variables

Find the limit

Calculate the definite integral

Find A * B where

Calculate the determinant

A mixed periodic fraction is ...

A system of linear equations is called joint if it ...
has only zero solution
has no solutions
has only one solution
has at least one solution

Find the general solution to the equation

Function infinitesimal at a point
1) x = 2
2) x = -2
3) x = 1
4) x = ∞

Given: ab Find | a | = 8, | b | = 8, (a, b) = n / 3

Find the coordinates of the point K of the intersection of the straight line with the plane 2x 5y - 3z = O

Solve the matrix equation AX AXA = B, where

Write the canonical equation of an ellipse if given its semiaxes a = 5 and b = 4

Calculate the definite integral

The determinant of a system of three linear inhomogeneous equations with three unknowns is 5. This means that ...
the system has a zero solution
the system has many solutions
the system has no solution
the system has only one solution

Find the speed of a body moving according to the law S = 3t - 5

Find the derivative of the function y = 2tgx

Find the derivative of the function f (x) = (1 cosx) sin x

Find the general solution to the equation xy ^ 2dy = (x ^ 3 y ^ 3) dx

Equate the plane, knowing that point A (1, -1.3) is the base of the perpendicular drawn from the origin to this plane.

Find the limit

Using Cramer´s method (determinants), a solution can be found ...
any system of linear algebraic equations
systems of linear algebraic equations with a nondegenerate matrix
systems of linear algebraic equations with a degenerate matrix
systems of homogeneous equations

The matrix equation A-X = B has a solution ...

Find the equation of the straight line passing through the points M1 (3; 2), M2 (4: -1)
x y-12 = 0
Zx 2y-11 = 0
Zx y-11 = 0
Zx-y 11 = 0