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140Bquiz3c

# 140Bquiz3c - 1-h x = −∞ ii lim x → 1 h x = −∞ iii...

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1 MATH 140B QUIZ#3 Due: Monday Sept 17, 2007 [ 2 ] 1. A drug is injected into an organism every hour and the drug is metabolized and eliminated in such a way that the concentration C ( t ) decreases as shown in the graph below. 0 1 2 3 4 5 t 0.05 0.10 0.15 0.20 C Which of the following 3 statements are true? i) lim t 1 - C ( t ) negationslash = lim t 1 + C ( t ) ii) C has a jump discontinuity at t = 3 . iii) C is continuous for every value of t in the interval (3 , 4] . A) i) only B) ii) only C) i) and ii) only D) ii) and iii) only E) All of the 3 statements are true. [ 2 ] 2. Consider the function f ( x ) = 2 x 2 + 5 x 3 x + 3 . Which of the following 3 statements are true? i) lim x →- 3 - f ( x ) = 7 . ii) lim x →- 3 + f ( x ) = 7 . iii) f has a jump discontinuity at x = 3 . A) i) only B) ii) only C) iii) only D) i) and ii) only E) ii) and iii) only .

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2 [ 2 ] 3. Which of the following 2 limits are correct? i) lim x 0 3 x tan x = 3 . ii) lim x 0 x csc( x/ 2) = 1 / 2 . A) i) only B) ii) only C) both D) neither [ 2 ] 4. Consider the function h ( x ) = 5 x 1 . Which of the following 3 statements are true?
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Unformatted text preview: 1-h ( x ) = −∞ . ii) lim x → 1 + h ( x ) = −∞ . iii) lim x → 1 h ( x ) = −∞ . A) i) only B) ii) only C) i) and ii) only D) ii) and iii) only E) None of the 3 statements are true. [ 2 ] 5. Recall the following useful fact: The graph of a function is shifted a units to the right if every occurrence of x in its deFning equation is replaced by x − a, where a > . Use the graph of f ( x ) = x | x | and the above stated fact to sketch the graph of the function g ( x ) = x − 2 | x − 2 | and determine which of the following 3 statements are true. i) lim x → 2-g ( x ) = − 1 . ii) lim x → 2 + g ( x ) = 1 . iii) g is continuous everywhere except at x = 2 . A) iii) only B) i) and ii) only C) i) and iii) only D) ii) and iii) only E) All 3 statements are true....
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140Bquiz3c - 1-h x = −∞ ii lim x → 1 h x = −∞ iii...

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