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The Average Value of a Function

Calculus Applications of Definite Integrals The Average Value of a Function

Questions

The profit (in dollars) from the sale of x lawn mowers is P(x) = 50x - 0.05x^2 - 450. How to find the marginal average profit at a production level of 20 mowers?
What is the average value of the function #f(x)=(x-1)^2# on the interval from x=1 to x=5?
What is the average value of the function #u(x) = 10xsin(x^2)# on the interval #[0,sqrt pi]#?
What is the average value of the function #f(x)=cos(x/2) # on the interval #[-4,0]#?
What is the average value of the function #f(x) = x^2# on the interval #[0,3]#?
What is the average value of the function #f(t)=te^(-t^2 )# on the interval #[0,5]#?
What is the average value of the function #f(x) = x - (x^2) # on the interval #[0,2]#?
What is the average value of the function #f(t) = t (sqrt (1 + t^2) )# on the interval #[0,5]#?
What is the average value of the function #f(x) = sec x tan x# on the interval #[0,pi/4]#?
What is the average value of the function #f(x) = 2x^3(1+x^2)^4# on the interval #[0,2]#?
What is the average value of the function #f(x)=18x+8# on the interval #[0,10]#?
Question #7bb57
If the average value of the function f on the interval [1, 5] is 3, and the average value on the interval [5, 7] is 2, how do you find the average value on the interval [1, 7]?
What is the average value of a function #f(x) = 1/x^2# on the interval [1,3]?
What is the average value of a function #f(x) x^2 - 2x + 5# on the interval [2,6]?
What is the average value of a function #sin(X)# on the interval [0, pi]?
What is the average value of a function #sinx# on the interval #[0, pi/3]#?
What is the average value of a function #f(x) = 2x sec2 x# on the interval #[0, pi/4]#?
What is the average value of a function #sec^2x# on the interval #[0, pi/4]#?
What is the average value of a function #y=3x^5# on the interval #[-3,3]#?
What is the average value of a function #y=6/x# on the interval #[1,e]#?
What is the average value of a function #y=50x+5# on the interval #[3,9]#?
What is the average value of a function #y=x^2-2x+4 # on the interval #[0,8]#?
What is the average value of a function #y=7 sin x# on the interval #[0,pi]#?
What is the average value of a function # y=sec^2 x# on the interval #[0,pi/4]#?
What is the average value of a function #y=secx tanx# on the interval #[0,pi/3]#?
What is the average value of a function #f(x)=3x^2 - 2# on the interval #[0,2]#?
What is the average value of a function #sec^2x# on the interval #[pi/6, pi/4]#?
What is the average value of a function # f(t)= -2te^(-t^2)# on the interval #[0, 8]#?
What is the average value of a function # y = x^2 (x^3 + 1)^(1/2) # on the interval #[0, 2]#?
What is the average value of a function #f(t)=−4sec(t)tan(t)# on the interval #[0, pi/4]#?
Consider the function #f(x) = 4 x^3 − 4 x# on the interval [ −3 , 3 ], how do you find the average or mean slope of the function on this interval?
Consider the function #f(x) = sqrtx# on the interval [0, 4], how do you find the average or mean slope of the function on this interval?
Consider the function #f(x) = (x)/(x+2)# on the interval [1, 4], how do you find the average or mean slope of the function on this interval?
Consider the function # f(x)=1/sqrt(x+2)# on the interval [-1, 23], how do you find the average or mean slope of the function on this interval?
How do you find the equation of the secant line of #f(x)=x^2-5x# through the points [1,8]?
How do you find the average value of #x^3# as x varies between 2 and 4?
How do you find the average value of #x^3# as x varies between -1 and 2?
How do you find the average value of #sinx# as x varies between #[0,pi]#?
How do you find the average value of #f(x)=-2x^3+10x^2-7x+5# as x varies between #[1/2,3]#?
How do you find the average value of #f(x)=cosx# as x varies between #[0, pi/2]#?
How do you find the average value of #f(x)=2^x# as x varies between #[1,4]#?
How do you find the average value of #f(x)=1/(x^2+1)# as x varies between #[-1,1]#?
How do you find the average value of #f(x)=(x-3)^2# as x varies between #[2,5]#?
How do you find the average value of #f(x)=sqrtx# as x varies between #[0,4]#?
How do you find the average value of #f(x)=cosx# as x varies between #[1,5]#?
How do you find the average value of #f(x)=4-x^2# as x varies between #[-2,2]#?
How do you find the average value of #f(x)=x-2sqrtx# as x varies between #[0,2]#?
How do you find the average value of #f(x)=-x^4+2x^2+4# as x varies between #[-2,1]#?
How do you find the average value of #f(x)=-x^3+7x^2-11x+3# as x varies between #[1,5]#?
How do you find the average value of #f(x)=-x^5+3x^3# as x varies between #[0,1]#?
How do you find the average value of #f(x)=4x^(1/2)# as x varies between #[0,3]#?
How do you find the average value of #f(x)=x^5-2x^3+x# as x varies between #[-1,0]#?
How do you find the average value of #f(x)=1/x# as x varies between #[2,3]#?
How do you find the average value of #f(x)=x^5-4x^3+2x-1# as x varies between #[-2,2]#?
How do you find the average value of #f(x)=-x^5+4x^3-5x-3# as x varies between #[-2,0]#?
How do you find the average value of #f(x)=x^5-2x^3-2# as x varies between #[-1,1]#?
How do you find the average value of the function for #f(x)=1+x, -1<=x<=1#?
How do you find the average value of the function for #f(x)=2-1/2x, 0<=x<=4#?
How do you find the average value of the function for #f(x)=4-x^2, -2<=x<=2#?
How do you find the average value of the function for #f(x)=1+x^2, -2<=x<=2#?
How do you find the average value of the function for #f(x)=sqrt(2x-1), 1<=x<=5#?
How do you find the average value of the function for #f(x)=x^3, 0<=x<=2#?
How do you find the average value of the function for #f(x)=root3(x), 0<=x<=8#?
How do you find the average value of the function for #f(x)=1-x^4, -1<=x<=1#?
How do you find the average value of the function for #f(x)=x^2-sqrtx, 0<=x<=3#?
How do you find the average value of the function for #f(x)=sqrtx+1/sqrtx, 1<=x<=9#?
How do you find the average value of the function for #f(x)=(3x)/sqrt(1-x^2), -1/2<=x<=1/2#?
How do you find the average value of the function for #f(x)=2xsqrt(1+x^2), -3<=x<=3#?
How do you find the average value of the function for #f(x)=sinx, 0<=x<=pi#?
How do you find the average value of the function for #f(x)=sinxcosx, 0<=x<=pi/2#?
How do you find the average value of the function for #f(x)=x+sinx, 0<=x<=2pi#?
How do you find the average value of the function for #f(x)=e^x, -1<=x<=1#?
How do you find the average value of the function for #f(x)=e^x-2x, 0<=x<=2#?
How do you find the average value of the function for #f(x)=1/x, 1<=x<=4#?
How do you find the average value of the function for #f(x)=x/(x+1), 0<=x<=4#?
How do you find the point c in the interval #-4<=x<=6# such that f(c) is equation to the average value of #f(x)=2x#?
How do you find the point c in the interval #0<=x<=3# such that f(c) is equation to the average value of #f(x)=3x^2#?
How do you find the point c in the interval #0<=x<=2# such that f(c) is equation to the average value of #f(x)=sqrt(2x)#?
How do you find the point c in the interval #-1<=x<=1# such that f(c) is equation to the average value of #f(x)=x^2-x#?
How do you find the point c in the interval #0<=x<=2# such that f(c) is equation to the average value of #f(x)=x^(2/3)#?
How do you find the point c in the interval #1<=x<=4# such that f(c) is equation to the average value of #f(x)=abs(x-3)#?
What is the average distance between a point in the interval [-4,3] and the origin?
A particle moves with velocity #v=6t# from time t=0 to t=10. How do you find the average velocity with respect to a) time and b) distance?
How do you find the average value of #f(x)=x/sqrt(x^2+1), 0<=x<=4#?
How do you find the average distance from the origin of a point on the parabola #y=x^2, 0<=x<=4# with respect to x?
Question #03038

Applications of Definite Integrals

View all chapters

Solving Separable Differential Equations
Slope Fields
Exponential Growth and Decay Models
Logistic Growth Models
Net Change: Motion on a Line
Determining the Surface Area of a Solid of Revolution
Determining the Length of a Curve
Determining the Volume of a Solid of Revolution
Determining Work and Fluid Force
The Average Value of a Function

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