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calfinalexampractice

# calfinalexampractice - M408C Practice problems for Exam 4...

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Unformatted text preview: M408C Practice problems for Exam 4 Directions . Circle the letter of the correct answer (only one) for each problem. 1) lim x →-∞ 4 sin parenleftBig π 3 + tan- 1 x parenrightBig = (A)- 4 √ 2 . (B) 1 2 √ 2 . (C)- 2. (D)- 2 √ 2. (E) 8 √ 3. 2) The solution x of the equation e x +1- 2 e 3 x = 0 is: (A) 1 2- ln2 2 . (B) 1 4 + ln 2 2 . (C) 1 3- ln3 2 . (D) 3 2- ln3 2 . (E) 3 4 + ln2 3 . 3) If the concentration C of chlorine in a pool at time t is given by C ( t ) = (1 + t )5- t , then the rate of change of C at t = 1 is: (A) 5 + 2 ln5. (B) 1 5- 2 ln5 5 . (C) 1 + 1 5 ln5 . (D) 5 2 + 1 5 ln5 . (E) 5- 1 2 ln5 . 4) The slope of the curve x- y ln( y ) = 0 at the point ( x, y ) = (0 , 1) is: (A) 0. (B) 1. (C)- 2. (D) 2. (E)- 1. 5) The pressure and temperature of a certain gas in a sealed container satisfy the equation P = 3 T + sinh( T- 70 10 ), where P is in psi and T is in ◦ F . What must the rate of change of temperature be at the instant when T = 70 ◦ F and dP/dt = 4 psi / sec? (A) 40 31 ◦ F sec . (B)- 17 40 ◦ F sec . (C) 30 52 ◦ F sec . (D) 26 19 ◦ F sec . (E)- 18 43 ◦ F sec ....
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calfinalexampractice - M408C Practice problems for Exam 4...

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