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Answer the following using the definition of derivatives. Please don't answer using the short method. Reference: https://drive.google.com/drive/folders/1bdAZKSq9V-7flHOrMwBrx58iPjLdWqrS m I]. Let V(x) cubic centimeters be the

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Answer the following using the definition of derivatives. Please don't answer using the short method. Reference: https://drive.google.com/drive/folders/1bdAZKSq9V-7flHOrMwBrx58iPjLdWqrS

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m I]. Let V(x) cubic centimeters be the volume of a cube having an edge of x centimeters. measured to four significant digits. 0n a calculator minute the average rate of change of Via) with respect to It as 1: changes fro- (a) 3.000 to 3.200: (b) 3.000 to 3.100: (c) 3.000 to 3.010: id) 3.000 to 3.001. (e) What is instantaneous rate of change of 9(1) with respect to x then x is 3.000? (Answer: (a) 23.84: (b) 27.91: (c) 27.09; (d) 27.0]: (e) 27 12. Let lit) he the slope of the tangent line to the curve y=x'-2x'+.t at the point (my). Find the instantaneous rate of change of ani with respect to x at the point (2.2). (Answer: 8) 13. Let Mat) square centimeters be the area of a square having a side of x centimeters. measured to four significant digits. Calculate the average rate of change of Ms) Iith respect to x as it changes from (a) 4.000 to 4.600: (b) 4.000 to 4.300: (c) 4.000 to 4.100; (d) 4.000 to 4.050. (e) \"hat is the instantaneous rate of change of M1} with respect to at when x is 4.000? (Alister: (a) 8.6: (it) 8.3: (c) 8.1: (d) 8.05: (e) 8

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