DOC PREVIEW
TAMU
MATH 152 -
7_5
View full document
Premium Document
Do you want full access? Go Premium and unlock all 3 pages.
Access to all documents
Download any document
Ad free experience
Unformatted text preview:
View Full Document
1 7.5: Average Value of a FunctionGoal: To find the average value of a function f on a given interval [a, b].Average of n values:Derivation of formula for average value of a function:Geometric Interpretation:1Examples: Find the average value of f(x) =√x from x = 0 to x = 4.The electric current in a household power supply is an alternating current modeled by i(t) = I sin ωt.a) Show that the average value of i over one period is 0.b) The root mean square (rms) current is the square root of the average value of i2over one period.Calculate the rms current.2On Beyond Average:The graph of a function f on the interval 0 ≤ x ≤ 1 is shown below. If possible, determine whetherfav g=32, fav g<32, or fav g>32. Clearly explain your
View Full Document
Unlocking...