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$$$1. Calculate the determinant : 5 страница



$$ continuous

$ has a rupture

$ positive

$ differentiable

 

$$$272.The point is called as point of of function, , if it is defined in some neighborhood of this point and .

$$maximum

$ rupture

$ minimum

$ inflection

$$$273. Find the integral .

$$

$

$

$

 

$$$274. Eccentricity of curve is equal to:

$$

$

$

$

 

$$$275.The Cauchy theorem.Let functions and differentiable on the interval and for . Then as, such …

$$

$

$ = .

$

 

$$$276. Let function is differentiated on (a,b). If monotonously increases on (a,b), then …, .

$$

$

$

$

 

$$$277. Let function is differentiated in some neighborhood of a critical point and exist. Then, if …, - the maximum point.

$$

$

$

$

$$$278. Eccentricity of curve is equal to

$$

$

$

$1

$$$279. Let function is differentiated in some neighborhood of a critical point and exist. Then, if …, - the minimum point.

$$

$

$

$

$$$280. The foci of hyperbola are at the points:

$$

$

$

$

 

$$$281. Define circle radius

$$ 6

$ 4

$ 5

$ 7

$$$282. Define circle radius and center .

$$

$

$

$

 

$$$283. The focal of parabola is at the point:

$$

$

$

$

$$$284.The foci of ellipse are at the points:

$$

$

$

$

$$$285. Find the derivative: .

$$

$

$

$

$$$286. The canonical equation of ellipse with semi-transverse axis Ох is:

$$

$

$

$

$$$287. Define the center of circle

$$

$

$

$

$$$288. Find the second remarkable limit

$$

$

$

$

 

$$$289. The hyperbola is given , define their semi axis:

$$

$

$

$

 

$$$290. Find the center and radius of sphere, which is given by this equation

$$

$

$

$

 

$$$291. Find the equation of ellipse, if .

$$

$

$

$

$$$292. Find the first remarkable limit

$$

$

$

$

$$$293. Find the limit:

$$ 1

$ -2

$ 2

$ 1/2

 

$$$294. If each element of set А is the element of set B, than set А is called… of set В.

$$ subset

$ set

$ object

$ element

 

$$$295. Find the value of this function in a point :

$$ 1

$ 0

$ 1,5

$ 2

 

$$$296. Find the derivative :

$$

$

$

$

 

$$$297. Find the derivative

$$

$

$

$

 

$$$298. Find the derivative :

$$

$

$

$

 

$$$299. Find the derivative :

$$

$

$

$

$$$300. Find the derivative

$$

$

$

$

 

$$$301. Define the formula of differentiation of this function :

$$

$

$

$

$$$302. The geometric sense of a derivative is that the derivative of function :

$$ at the point t equals a slope of tangent at this point

$ equals to the velocity of changing the function at the point

$ equals to limit of value

$ equals to tangent to curve at the point

 

$$$303. Find the integral: .

$$

$

$

$

 

$$$304. Indefinite integral of function is …

$$ set of all antiderivative of given continuous function

$ antiderivative of function at the point

$ antiderivative of function on the segment

$ set of all derivatives of this function

 

$$$305.The operations of finding the antiderivative of function is called …

$$ integration a function

$ researching a function

$ differentiation a function

$ derivative a function

 

$$$306. Find the integral:

$$ -16

$ 21/2

$ -24

$ 12

 

$$$307. Find the area of figure, which is bounded by lines и .

$$ 4/3

$ 5/3

$ 3/4

$ 4/5

$$$308. The integral is equal to:

$$ 0

$ 2а

$ 1

$ а

 

$$$309 Write the equation of a straight line which parallel to the ОХ axis:

$$

$

$

$

 

$$$310. Write the equation of a straight line which parallel to the ОУ axis:

$$

$

$

$

 

$$$311. Write the equation of a straight line passing through the origin:

$$

$

$

$

 

$$$312. The equation of a straight line with given slope passing through the given point as follow,

$$

$

$

$

 

$$$313. The equation of a straight line passing through two points as follow:

$$

$

$

$

 

$$$314.The general equation of a plane is:

$$

$

$

$

 

$$$315. The general equation of a plane, which is parallel Ох axis is:



$$

$

$

$

 

$$$316. The general equation of a plane, which is parallel Оу axis is:

$$

$

$

$

 

$$$317. The three- intercept equation of a plane is:

$$

$

$

$

 

$$$318. The equation of a plane passing, through three different points which are not lying on a one straight line as follow.

$$

$

$

$

 

$$$319. Find the derivative of this function

$$

$

$

$

 

$$$320. Find the derivative of this function .

$$

$

$

$

 

$$321. this formula is called as:

$$ the Newton- Leibniz

$ the Kronecker - Capelli

$ integrations by parts

$ integration by substitution

$$$322. Integrals with infinite limits are called as :

$$ improper integrals

$ indefinite integrals

$ sum of integrals

$ proper integrals

 

$$$323. To define the equation of the plane which parallel to the Oz axis

$$

$

$

$

 

$$$324. To define the equation of the plane which parallel to a coordinate plane OXY.

$$

$

$

$

 

$$$325. To define the normal equation of a plane:

$$

$

$

$

 

$$$326.The distance (d) between two points and on a plane is expressed by the formula:

$$

$

$

$

 

$$$327. Define general equation of a straight line, on a plane ОХУ:

$$

$

$

$

$$$328. Straights of this kind are called as …

$$ the directrices

$ the eccentricity

$ the focal

$ the asymptotes

 

$$$329. The equation of a straight line in intervals is:

$$

$

$

$

 

$$$330. Let function with domain of existence . Function is called as odd, if follow condition is done:

$$

$

$

$


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