# Elements of higher mathematics test Synergy answers (90

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Mathematics Synergy 1 course (Elements of higher mathematics) score 90/100 points

The Gauss method for solving a system of linear equations involves the use of ...
system determinants
Formulas for calculating unknowns
successive elimination of unknowns

Find the limit

Calculate the definite integral

Among the listed differential equations, indicate the homogeneous equation

The equation y "- 4y = ex is ...
differential Bernoulli equation
linear inhomogeneous differential equation of the second order with constant coefficients
linear homogeneous differential equation of the second order with constant coefficients
separable differential equation

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

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

The vertices of the triangle ABC are given: A (3; -1), B (4; 2) and C (-2; 0). Indicate the equations of its sides

Find the derivative of the function

Find the maximum (minimum) points of the function

Calculate the limit by L´Hôpital´s rule

Specify a natural series of numbers

Find the area of ​​the figure enclosed between the straight lines y = 4x - 5, x = -3, x = -2 and the Ox axis

Find the general solution to the equation xyA2dy = (хA3 yA3) dx

Calculate the determinant

Find the derivative of the function y = 2tgx

Specify the equation of a circle for which points A (3: 2) and B (-1; 6) are the ends of one of the diameters

Find the equation of the straight line passing through the point of intersection of the lines

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 