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pls answer this and give me solutions thankyou! Direction. Answer the following: (Note: Round all answers to 6 significant digits. For numbers such as 6.01000,

pls answer this and give me solutions thankyou!

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Direction. Answer the following: (Note: Round all answers to 6 significant digits. For numbers such as 6.01000, you may simply write 6.01.) 1. Use the formula to approximate the derivative of f (x) = 3x2 at x = 1 h using h = 0.1. Compute both the absolute true error | E,|, and absolute relative true error | Etl. 2. How many significant digits does each of the following numbers have? a. 2340000 b. 0.02965 c. 1.011 d. 2.23 x 103 e . 9.569 x 102 f. 2, 314 x 105 g. 200.000 h. 30.001 3. The following gas stations were cited for irregular dispensation by the Department of Agriculture. Station Actual gasoline Gasoline reading dispensed at pump Ser 9.90 10.00 Cit 19.90 20.00 Hus 29.80 30.00 She 29.95 30.00 Which one cheated you the most? 4. In each given below, A is the exact value, and An is an approximation. Find the absolute error and the relative error. a. A = n, An = b. A = e, Ah = 2.71828 C. A = =, Ah = 0.1667 d. A = =, Ah = 0.1666

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