Mathematics Synergy 1 course (Elements of higher mathem

Product description

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

For questions with formulas, see the pictures in the product description

1.The Gauss method for solving a system of linear equations involves the use of ...

algebraic addition

system determinants

Formulas for calculating unknowns

successive elimination of unknowns

• Find the limit: the formula in the picture

3.Calculate the definite integral: the formula in the picture

• Find: the formula in the picture

5 find the limit: the formula in the picture

6.Find: the formula in the picture

7.Among the listed differential equations, indicate the homogeneous equation: the formula in the picture

• 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

differential equation with separable variables

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

• Make an equation for the plane, knowing that point A (1, -1.3) is the base of the perpendicular drawn from the origin to this plane.

x-y 3z-11 = 0

-x y 3z-11 = 0

x-y-3z 11 = 0

x-y 11z-3 = 0

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

• i - y 10 = 0, Zx - Zy 2 = 0, x 5y 2 = 0
• Zy - y = 0, zy - 6 = 0, x - 5y 3 = 0
• Zx-y- 10 = 0, i - Zy 2 = 0, i 5y 2 = O

• Find the derivative of the function y = helx - elx

heh

elh

helkh

13 find the limit

14 find the limit: the formula in the picture

• Find the maximum (minimum) points of the function y = xl2 - 2x

0; -1) - maximum point

1; -1) - maximum point

1; -1) - minimum point

16.Calculate the limit by L'Hôpital's rule: the formula in the picture

17.Specify a natural series of numbers

-1, -2, -3, -4, -5, -6, -7, -8. -nine

-9, -8, -7, -6, -5, -4, -3, -2, -1, O, 1, 2, 3, 4, 5, b, 7, 8, 9, ...

0, 1, 2, 3, 4, 5, b, 7, 8, 9, ...

1, 2, 3, 4, 5, b, 7, 8, 9 ..

18 find the limit: the formula in the picture

19 find the limit: the formula in the picture

• Find the limit: the formula in the picture

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

fifteen

12

ten

7

• Find the general solution to the equation xyA2dy = (xA3 yA3) dx

y3 = 3x3 ln | Cx |

у3 = Зх3 ln | Cx

у3 = Зх3 ln Cx

23 Calculate the determinant: the formula in the picture

-20

20

ten

-ten

• Find the derivative of the function y = 2tgx

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

(X- 1) l2 - (y 4) l2 = 8

(X - 1) l2 (y - 4) l2 = 8

(X- 1) l2- (y 4) l2 = 64

(X- 1) l2 (y-4) l2 = 16

• Find the equation of the straight line passing through the point of intersection of lines 2x Zu-8 = 0x-4y 5 = 0 and through the point M1 (-2; 3)

5x 13u-29 = 0

5x 3y-29 = 0

5x 13y-9 = 0

Zx 8y-18 = 0

27 Calculate the determinant: the formula in the picture

• Given points M (-5; 7; -6), N (7; -9; 9). Calculate the projection of the vector a = {1; -3; 1} to the vector MN

4

25

75

3

• Find the limit lim (1-5 / x) x

ate3

ate2

eat5

eat-5

• 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

Additional information

After purchase, you will receive answers to the questions that are posted in the product description.