MATH 1004 Lecture 38: 1004E-Test1-sol

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skyzebra587

7 Feb 2016

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Closed book, non-programmer calculators are allowed: (6 points, 1. 5 points each) multiple choices, no partial marks. (i) sin2(0. 3) + cos2(0. 3) = (a) 1 (b) 2 (c) 1. 5 (d) sin(0. 6) + cos 0. 6) (e) [sin(0. 3) + cos(0. 3)]2. The domain is: (ii) let f (x) = (a) x r (b) x 1 (c) x (cid:54)= 1 (d) x > 1 (e) x 1. 3 3x 0, x 1. 2 x such that sin x = 0. 8. (iii) find the value of cos x, where (a) 3 (d) 0. 6 (c) (b) 1. 2 x , cos x = (cid:112) 0. 36 = 0. 6. (iv) let f (x) = (x 1)(x 2)(x 3). Then f (x) is continuous at every x except for x = x 1 (b) 1, 2, 3 (a) 2, 3. 3x + 8 if x > 2 (i) lim x 2 f (x) = lim x 2+ f (x) = (ii) does the limit lim x 2.

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