f_( (ave ))=1(A(R)) _R f(x, y) A=1(10) ∫_0^5 ∫_(-1)^1 x^2 y x y=1(10) ∫_0^5[13 x^3 y]_(x=-1)^(x=1) y=1(10) ∫_0^5 2(3) y (d) y=(1)(10)[(1)(3) y^(2)]_(0)^(5)=(5)(6)....
题目【题目 】Find the average value of f(x)=x^1 , where n is a positive integer, on the interval [a,b] . 相关知识点: 试题来源: 解析 【解析】 Average value of f(x)=(b^(n+1)-a^(n-1))/((n+1)(b-a)) 反馈 收藏
Find the average value of f(x,y)=x^{2}+8y on the rectangle 0\leq x\leq 9,0\leq y\leq 3 Find the average value of f(x,y)=5e^{y}\sqrt{x+e^{y over the rectangle R= (0,3) x (0,2). Find the average value of f(x,y)=3e^y(x...
Find the average value of f(x, y) = 4x^4y^2 over the rectangle R with vertices (-4, 0), (-4, 6), (4, 0), (4, 6). Find the average value of f(x, y) = (x^2)(y^2) over the rectangle with vertices (-2, 1), (-2, 4), (3,...
The average value of f is defined as: 1/(b-a)∫ f(x) dx (where integral is evaluated from a to b) If we are to integrate f(x) = x3we get: (1/4)* (x4) Applying formula for average value: [1/(b-a)]*[(1/4)*(x4)]a to b ...
百度试题 结果1 题目If f(r) is odd. what is ∫_(-1)^1f(r)dr What is the average value of f(r) on the interval r = =.1 to r=3 相关知识点: 试题来源: 解析 0.0 反馈 收藏
Answer to: Find the average value of f(x) = x^2 on the interval 1, 5. Answer = \boxed{\space}. By signing up, you'll get thousands of step-by-step...
See AnswerSee Answer Question: Find the average value of f(x,y)=5eyx+ey2 over the rectangle R=[0,6]×[0,2].Average value = Find the average value of Solution Step 1 f(x,y)=5eyx+ey R=[0,6]×[0,2] Solution,
James Stewart《微积分》笔记·6.5 Average Value of a Function(函数的平均值) JackLin Lūcem sequor. 11 人赞同了该文章 一、函数的平均值 求连续函数 y=f(x), a≤x≤b 的平均值: 将区间 [a,b] 分为n 个相等的子区间,各个子区间的长度为 Δx=b−an . 在各个子区间内依次选择 x1∗, x2∗...
f(x)f(x)is continuous 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. ...