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$$$1. Calculate the determinant : 3 страница



$$

$

$ 1

$ 2

$$$140. Determine the integral: .

$$

$ 0

$ П

$

 

$$$141. Given that . Find dy -?

$$

$

$

$

 

$$$142. Given that . Find .

$$0

$-1

$1

$-2

 

$$$143. The locus of points for which the sum of distances to two fixed points is constant is called

$$ an ellipse

$ a hyperbola

$ a parabola

$ a circle

$$$144. Find the points of the discontinuities of the function .

$$ -2; 2

$ 1; -2

$ -2; 0

$ -1

 

$$$145. The … of two sets А and В is the set of elements which are in either set

$$ union (sum)

$ intersection (product)

$ difference

$ division

$$$146. Evaluate .

$$

$

$

$

 

$$$147. Evaluate .

$$

$

$sinx+C

$cosx+C

 

$$$148. Find .

$$

$1

$-1

$

 

$$$149. Evaluate .

$$4

$16

$-4

$-16

$$$150. Given that . Find .

$$1

$-1

$2

$-2

 

$$$151. Find the limit of the function .

$$

$

$

$

$$$152. Calculate .

$$

$

$

$

$$$153. Test the following function for the discontinuity:

$$9

$3

$0

$-3

 

$$$154. Determine whether the following function is odd or even .

$$ odd

$ even

$ neither odd nor even

$ periodical

 

$$$155. Calculate .

$$

$

$

$

 

$$$156. Find .

$$0

$5

$3

$

 

$$$157. Find the limit of the function .

$$

$

$

$

 

$$$158. Find the area of the region (quadrant) of the point , if

$$1 и 3

$1 и 2

$2 и 3

$2 и 4

$$$159. Find the limit of the function , when .

$$

$1

$0

$2

 

$$$160. The locus of the points for which the difference of distances to two fixed points is constant, equal is called

$$ a hyperbola

$ a parabola

$ a circle

$ an ellipse

 

$$$161. Find the increase interval of the function .

$$

$

$

$

 

$$$162. Find the derivative of the function when .

$$5

$8

$3

$4

$$$163. Calculate .

$$

$

$

$

$$$164. Find the points of discontinuities of the function .

$$2

$0

$1

$-2

 

$$$165. Find the domain of the function .

$$

$

$

$

 

$$$166. Find .

$$2

$

$1

$0

$$$167. The locus of points for which the distance to a fixed point equals the distance to a given straight line (directrix) is called

$$ a parabola

$ a sircle

$ a hyperbola

$ an ellipse

 

$$168. Find

$$

$

$3

$

 

$$$169. Calculate :

$$

$

$

$

 

$$$170. Given function , determine interval of convex upward.

$$

$

$

$

 

$$$171. Find the point of discontinuities of the function .

$$

$ 2

$ -3

$

 

$$$172. Find the derivative of the function .

$$

$

$

$

 

$$$173. Find .

$$

$

$

$

 

$$$174. Calculate :

$$

$

$

$ 2

 

$$$175. Determine interval where a function is concave downward.

$$

$

$

$

 

$$$176. Find of the function .

$$

$

$

$

 

$$$177. Find the differential of the function .

$$

$

$

$

$$$178. Find the domain of the function .

$$ U

$

$

$

$$$179. Find .

$$

$1

$2

$0

 

$$$180. Find the derivative of the function: .

$$

$

$

$

 

$$$181. Find the limit .

$$

$1

$-1

$0

 

$$$182. Define a kind of the curve set by the equation :

$$ a parabola

$ a hyperbole

$ an ellipse

$ a circle

 

$$$183. The function is given . Find .

$$2

$1

$0

$-1

$$$184. Find the integral .

$$

$

$1

$0

$$$185. Find the limit

$$0

$2

$-2

$4

 

$$$186. The function is given . find .

$$

$

$

$

 

$$$187. Find the derivative in a point

$$1

$2

$0

$-1

$$$188. The point of crossing of straight lines .

$$

$

$

$

$$$189. Find the limit :

$$5, 5

$3

$2

$0

 

$$$190. The graph of odd function is symmetric with respect to…

$$ the origin

$ axes of ordinates

$ axes of abscesses

$ Bisectors of the first origin angle

 

$$$191. On the segment , find max of function .

$$9

$1

$-2

$25

 

$$$192. The function is given . Find .

$$8

$2

$4

$16

$$$193. Find the limit :

$$1

$2

$-1

$0

$$$194. The function is given . Find .

$$

$2

$3

$

$$$195. Find the limit .

$$0

$1

$-1

$

$$$196. Find the integral .

$$

$1

$

$0

 

$$$197. Find the limit

$$

$ 2/3

$ 1

$ 2



 

$$$198. A function is called decreasing on some interval, if for any two values of an argument taken on this interval,…

$$ smaller value of the function corresponds to larger value of the argument.

$ smaller value of the function corresponds to smaller value of the argument.

$ larger value of the function corresponds to larger value of the argument.

$ larger value of the function corresponds to smaller value of the argument.

 

$$$199. The function is given with range of definition . Function is called even, if the condition is done:

$$

$

$

$

 

$$$200. Show Maclaurirn expansion formula of the function :

$$

$

$

$

 

$$$201. Two sets are given ?

$$

$

$

$

 

$$$202. Find the derivative of function .

$$

$

$

$

$$$203. Find the integral .

$$

$

$

$

$$$204. The function is given . Find .

$$24

$4

$6

$12

 

$$$205. Find the derivative of function .

$$

$

$

$

$$$206. Find the area of figure, bounded by lines и .

$$

$

$

$

$$$207. Find the function , as .

$$ -3

$1

$-1

$-2

$$$208. Find the square of figure, bounded by lines ; ; ; .

$$1

$2

$3

$4

$$$209. Find f ' (-2), if .

$$47

$0

$-52

$-36

$$$210.If limit is exist , this number is called … of function at the point .

$$derivative

$ argument

$ integral

$ increment

$$$211. Find the limit of function .

$$

$

$0

$

$$$212. Find the limit of function: .

$$ 8

$4

$2

$

$$$213. Find the limit .

$$

$

$

$

 

$$$214. Find the derivative in a point

$$

$4

$

$3е


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