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)....
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,...
Find the average value of f (x, y) = x^2 y over the rectangle R with vertices (-1, 0), (-1, 5), (2, 5), (2, 0). Find the average value of f(x, y) = 2x^4y^2 over the rectangle R with vertices (-4, 0), (-4, 6), (4, 0...
百度试题 结果1 题目【题目】Find the average value of fover the given rectangle.f(x,y)=e^y√(x+e^y),_(x=0)=[0,4]*[0,1] 相关知识点: 试题来源: 解析 【解析】3.327 反馈 收藏
Question: Find the average value of f over the given rectangle. f(x,y)=4eyx+ey,R=[0,14]×[0,1]favg=(∫0∫014eyx+eydydx= Show transcribed image text There are 2 steps to solve this one. Solution Share Answered by Calculus expert1292...
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
Question: Find the average value of f(x,y)=5eyx+ey2 over the rectangle R=[0,6]×[0,2].Average value = There are 2 steps to solve this one.
Find the average value of {eq}\displaystyle f(x) = x^2 {/eq} on the interval {eq}\displaystyle [1, 5]. {/eq} Answer = {eq}\displaystyle \boxed{\space}. {/eq} Average Value: To find the average value of the function we will apply the integrals. We will apply...
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∗...