The average value of function( f) over the interval( [a,b]) is defined as ( A(x)=1/(b-a)(∫ )_a^bf(x)dx). ( A(x)=1/(b-a)(∫ )_a^bf(x)dx) Substitute the actual values into the formula for the average value of a function. ( A(x)=1/(1+1)((∫ )_(-1)^...
百度试题 结果1 题目 Find the average value of the function f(x,y)=1(√ (x^2+y^2)) on the annular region a^2≤ x^2+y^2≤ b^2, where 0< a < b. 相关知识点: 试题来源: 解析 2(a+b) 反馈 收藏
结果1 题目 find the average value of the function on theinterval without integrating, by appealing to the geometry of theregion between the graph and the x-axis.f(x)=x+4,-1;-x+2,-1. -4≤x≤-1≤≤-1x≤2.[-4,2]3yx+42y=-x+202 相关知识点: 试题来源: 解析 反馈 收藏 ...
Average Value:If asked for the average value of the function in the interval we will integrate and then divide it by the difference of the interval. Then after integration, we will plug-in the values to get the average.Answer and Explanation: ...
Find the average value of the function on the given interval. g(x)=5+cos(x),[0,2π] Definite Integral: The integral of a function is used to determine its anti-derivative. This is known as an indefinite integral. On the other hand, the definite integral is th...
Theaveragevalue offunctionffover theinterval[a,b][a,b]is defined asA(x)=1b−a∫baf(x)dxA(x)=1b-a∫abf(x)dx. A(x)=1b−a∫baf(x)dxA(x)=1b-a∫abf(x)dx Substitute the actual values into theformulafor theaveragevalue of afunction. ...
Find the average value of the function {eq}f(x, y) = \displaystyle\frac{6}{(x^2 + y^2)^\frac{1}{2}} {/eq} on the annular region {eq}a^2 \leq x^2 + y^2 \leq b^2, {/eq} where {eq}0 \lt a \lt b. {/e...
Find the average value of the function f(x)=x on [0,2]. a. 2 b. 0 c. −1 d. None of the above Average Value Theorem: The average value of the function if the function is continuous in the domain. The average value of the function will be f...
To find the average value μ of the function f(x)=√(3)x over the interval (0,1), we will use the formula for the average value of a function over an interval (a,b): μ=1b−a∫baf(x)dx Step 1: Identify the interval and functionHere, the function is f(x)=√(3)x=x1/...
Question: Find the average value of the function f(x)=64-x2 over the interval -8,8.(Give an exact answer. Use symbolic notation and fractions where needed.)average value: There are 2 steps to solve this one.