University:
Missouri State University
Course:
MTH 136 | Precalculus 1
Academic year:

2019
Views:

498

Pages:

2
Author:

ueffenv0k

Calculus Name___________________________________ Section 8.1 - AVT and MVT Worksheet Date________________ Block____ For each problem, find the average value of the function over the given interval. 1) f ( x) = 2x 2 - 8x + 5; [0, 3] 1 2 2) f ( x) = 5x ; [0, 1] -1 10 » 3.333 3 3) f ( x) = - 4 ; [0, 1] x-2 4) f ( x) = -x + 1; [-4, 0] 3 4 ln 2 » 2.773 5) f ( x) = 2x + 1; [-4, 0] -3 6) f ( x) = 2x + 1; [-2, 3] 2 Worksheet by Kuta Software LLC For each problem, find the values of c that satisfy the Mean Value Theorem for Integrals. 7) f ( x) = x + 2; [-3, 2] - 1 = -0.5 2 9) f ( x) = x2 5 - 3x + ; [3, 5] 2 2 9+2 3 » 4.155 3 5 ; [2, 3] x2 5 ( x + 1) 1 2 10) f ( x) = x ; [0, 3] 4 » 1.333 3 6 » 2.449 11) f ( x) = - 8) f ( x) = ; [1, 3] 2 -1 + 2 2 » 1.828 1 2 12) f ( x) = ( x - 1) ; [1, 4] 7 » 2.333 3 by Kuta Software LLC