hw8-31 - V ′ (1). 5. The following table gives the...

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Math 170-007 Homework 8/31 Fall 2010 1. Refer to Section 2.1 of the Online Textbook, Problem 1. Please note that this author uses the word chord where others would use secant line . (a) Draw the graph and work parts (a)-(d). (b) Assemble your answers from (a)-(d) into a table and use it to guess f (12). 2. Refer to Section 2.1 of the Online Textbook, Problem 3. (a) Draw the graph and work parts (a)-(c). (b) Assemble your answers from (a)-(d) into a table and use it to guess f (3). 3. Refer to Section 2.2 of the Online Textbook, Problem 1. (a) Compute the average velocities he asks for. (b) Determine which of these are useful for computing the instantaneous velocity at t = 2. Assemble them into a table an estimate the instantaneous velocity when t = 2. 4. The voltage in a circuit is given by V ( t ) = 320 e 3 . 1 t where t is measured in seconds and V is measured in Volts. (a) Find the rate of change of V (with units) on each of the intervals: i. [ . 5 , 1] ii. [ . 75 , 1] iii. [1 , 1 . 25] iv. [1 , 1 . 5] (b) Assemble this information into a table and use it to guess
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Unformatted text preview: V ′ (1). 5. The following table gives the temperature of an object placed in a freezer as a function of time, x , in minutes. Temperature, T , is measured in degrees Celsius, ◦ C. x (minutes) 2 4 6 8 10 T ( ◦ C) 10 5.5 2.1-. 6-2 . 6-4 . 2 Estimate T ′ (4). Use an appropriate table of average rates of change. 1 6. Work Problems 2 and 3 from Section 2.2 of the Online Textbook. If you are uncomfortable with the use of Δ t , replace it with h . 7. Return to Section 2.1 of the Online Textbook. Work problems 3, 4, and 5. (You can skip the parts that you have already done in previous exercises.) If you are uncomfortable with the use of Δ x , replace it with h . Hints and Answers 5. (a) Fixed End (sec) 1 1 1 1 1 Free End (sec) .5 .75 1 1.25 1.5 Δ V/ Δ t (V/s)-107-67 . 5-31 . 1-22 . 7 (b) A reasonable person might guess about-50 V/s. 6. Approximately-1 . 5 ◦ C/min. 2...
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This note was uploaded on 10/11/2011 for the course MATH 170 taught by Professor Staff during the Spring '08 term at Boise State.

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hw8-31 - V ′ (1). 5. The following table gives the...

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