Below are the answers key for the Multiple Choice Questions in Calculus – MCQs Part 6.

251. c. 17/3

252. d. 40pi

253. c. 50√3

254. a. 46.83

255. c. 72

256. c. 5/21

257. d. 37/12

258. a. 268.1

259. b. 1.05

260. a. 1/90 rad/sec

261. c. the intersection of Df and Dg without the zeros of function g

262. d. the closed interval [a + 3 , b + 3]

263. a. the interval (a – 4 , +infinity)

264. b. (f / g)(x) is also continuous everywhere except at the zeros of g(x).

265. b. -10

266. c. lim [ f(x) . g(x) ] as x –> a may be +infinity or -infinity

267. c. (A) or (B) above

268. d. None of the above

269. d. (A) and (C) only

270. b. (-infinity , -3] U [3 , +infinity)

271. b. 1 / 10

272. b. f ‘(x) = g ‘(x)

273. b. f ‘(x) = g ‘(u) . u ‘(x)

274. a. 1

275. d. 4

276. a. 5

277. A. [ 2 e( exp –t ) – 4 e( exp – 3t ) ]

278. A. I(s) = 2 e^(-25t) sin 100t

279. D. cos wt

280. B. 2 cos 3x – 6 sin 3x

281. A. (1/4) e^t sinht

### Online Questions and Answers in Calculus Series

Following is the list of practice exam test questions in this brand new series:

**Calculus MCQs**

**MCQs from Number 1 – 50**Answer key:

**PART I**

**MCQs from Number 51 – 100**Answer key:

**PART II**

**MCQs from Number 101 – 150**Answer key:

**PART III**

**MCQs from Number 151 – 200**Answer key:

**PART IV**

**MCQs from Number 201 – 250**Answer key:

**PART V**

**MCQs from Number 251 – 300**Answer key:

**PART VI**