Consider the following. | 12 (a) Perform the integration in two ways: once using the Simple Power Rule and once using the General Power Rule. (Use C for the constant of integration. Simple Power Rule (2-x)² dx General Power Rule (b) Explain the difference in the results. Because C and C 8/3 are different, the two answers represent different families of functions. Because C represents any constant, C 8/3 can be written as C. The two answers represent different families of functions. Because C represents any constant, C- 8/3 can be written as C. The two answers represent the same family of functions. O Because C and C 8/3 are different, the two answers represent the same family of functions. (c) Which method do you prefer? Explain your reasoning.
Consider the following. | 12 (a) Perform the integration in two ways: once using the Simple Power Rule and once using the General Power Rule. (Use C for the constant of integration. Simple Power Rule (2-x)² dx General Power Rule (b) Explain the difference in the results. Because C and C 8/3 are different, the two answers represent different families of functions. Because C represents any constant, C 8/3 can be written as C. The two answers represent different families of functions. Because C represents any constant, C- 8/3 can be written as C. The two answers represent the same family of functions. O Because C and C 8/3 are different, the two answers represent the same family of functions. (c) Which method do you prefer? Explain your reasoning.
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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Transcribed Image Text:Consider the following.
|(2-x)² dx
(a) Perform the integration in two ways: once using the Simple Power Rule and once using the General Power Rule. (Use C for the constant of integration.)
Simple Power Rule
General Power Rule
(b) Explain the difference in the results.
Because C and C 8/3 are different, the two answers represent different families of functions.
Because C represents any constant, C 8/3 can be written as C. The two answers represent different families of functions.
Because C represents any constant, C- 8/3 can be written as C. The two answers represent the same family of functions.
O Because C and C - 8/3 are different, the two answers represent the same family of functions.
(c) Which method do you prefer? Explain your reasoning.
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