6.7 Average Value Of A Functionap Calculus

The average value of f from x = a to x = b is the integral Discussion Using Flash Average value and the rate of change. Discussion Using Flash Geometrical. Where the sum is the result of adding all of the given numbers, and the count is the number of values being added. For example, given the 5 numbers, 2, 7, 19, 24, and 25, the average can be calculated as such.

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Assignments AB 2020-2021. 1.09 Average Vs. Instantaneous Rates. 1.10 Secant, Tangent, and Normal Lines. Mean Value Theorem. Calculus: Early Transcendentals 8th Edition answers to Chapter 6 - Section 6.5 - Average Value of a Function - 6.5 Exercises - Page 463 7 including work step by step written by community members like you. Textbook Authors: Stewart, James, ISBN-10:, ISBN-13: 978-1-28574-155-0, Publisher: Cengage Learning. Solve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more.

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Section 6-1 : Average Function Value


For problems 1 – 4 determine ({f_{{rm{avg}}}}) for the function on the given interval.

  1. (fleft( x right) = 8{x^4} - 7{x^3} + 2) on (left[ { - 2,1} right])
  2. (fleft( x right) = left( {4 - x} right){{bf{e}}^{{x^{,2}} - 8x}}) on (left[ {1,4} right])
  3. (fleft( x right) = 6x - frac{{4x}}{{{x^2} + 1}}) on (left[ { - 3,0} right])
  4. (fleft( x right) = cos left( {3x} right){left[ {2 + sin left( {3x} right)} right]^4}) on (left[ {0,frac{pi }{6}} right])

6.7 Average Value Of A Functional Calculus Calculator

6.7 Average Value Of A Functionap Calculus

6.7 Average Value Of A Functional Calculus 14th Edition

6.7 Average Value Of A Functional Calculus 2nd Edition

For problems 5 – 8 find ({f_{{rm{avg}}}}) for the function on the given interval and determine the value of c in the given interval for which (fleft( c right) = {f_{{rm{avg}}}}).

6.7 Average Value Of A Functional Calculus Equation

  1. (fleft( x right) = 10 - 4x - 6{x^2}) on (left[ {2,6} right])
  2. (fleft( x right) = 7{x^2} + 2x - 3) on (left[ { - 1,1} right])
  3. (fleft( x right) = 9 - 2{{bf{e}}^{4x + 1}}) on (left[ { - 1,2} right])
  4. (fleft( x right) = 8 - cos left( {frac{x}{4}} right)) on (left[ {0,4pi } right])