SUppose that f is continous tunction. You are given that the average value of fover interval [ 3,] iss, and the average value of tf over the interval [1,7] is ? a) What is s3 fax) dX ? b) what is jt fw)dx? ) What is the average value of the function f over the interval [3,7] ?

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A: In the question we have to find average value of the function.

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A: (a) Given that , fx=25-x2 on 0,3 find the average value ?

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A: The median length is obtained as:   ∫0xf(x)dx =0.5    for x >0   The pdf is given by :  f(x) =…

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Q: Find the average value of the functions on the given interval. a) Average value of f(r) = x on [2,…

A: Average value of function can be found using integration

Q: 1.) Consider the function f(x) = 2x² - 3x + 1. Find the average rate of change over the interval…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost…

Q: Q8: Can you answer all the parts to this question, with the working showing clearly

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Q: St *aiMd the average ralue 08 nte intervalCOa

A: the average (or the mean) value of f(x) on [a,b] is

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.