|
$$
$
$ 1
$ 2
$$$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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