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 ...
The next section will detail the integral formula for the average value of a function. Average Value Formula The formula for calculating the average value of a function on an interval [a,b] is: fave=1b−a∫abf(x)dx In the formula above, the definite integral of f from a to b ...
Average Value Formula The formula for calculating the average value of a function on an interval {eq}[a,b] {/eq} is: {eq}f_{ave} = \frac{1}{b-a} \int_{a}^{b} f(x) dx {/eq} In the formula above, the definite integral of f from a to b gives the total area under th...
The Average Value of a Function: The average value of a function is its mean over its domain. It is a function f on the interval[a,b]and it specifies an areas which is equal to the definite integral. The average value is therefore the definite integral over the interval[a,b]. ...
The average value of the function f(x)=x2−5 on the given interval [0,2] is: {eq}\displaystyle...Become a member and unlock all Study Answers Start today. Try it now Create an account Ask a question Our experts can answer your tough homework and study questions...
Find the average value of the function on the given interval. f(x)=3x2e2x;[1,2] (Round to three decimal places as needed.) Average Value: In this question, we have a function which is a product of a quadratic function and an exponential...
The average value of a function f(x) over the interval [a,b] is the number mu=(1)/(b-a)int(a)^(b)f(x)dx. The square root {(1)/(b-a)int(a)^(b)f^(2)(x)dx}^((1)/
Thus, multiplying by b−a on both sides equals: ft'b − a = ∫abft ⅆt . In other words, the area is defined by a rectangle, whose height is the average value of a function and whose width is an interval equal to the area under the entire function, ...
题目【题目】Find the average rate of change of the function on the interval specified for real number bf(x)=4x^2-80n[1,b],b=1 相关知识点: 试题来源: 解析 【解析】angtYate=(f(b)⋅f(3))/(b-1) =(4b^2-8-(4-8))/(b-1)=4(b+1) ...
The function v(t)v(t) takes on an infinite number of values, so we can’t use the process just described. Fortunately, we can use a definite integral to find the average value of a function such as this. Let f(x)f(x) be continuous over the interval [a,b][a,b] and let [a,...