(a) find an approximation to the integral 2 (x2 − 4x) dx 0 using a riemann sum with right endpoints and n = 8. r8 =

Step-by-step explanation:

      n=8     f(x) = x² - 4x

convert [0,2] into 8 subintervals

width of each interval is

All subintervals are:

[0, 0.25], [0.25, 0.5], [0.5, 0.75], [0.75, 1], [1, 1.25], [1.25, 1.5], [1.5, 1.75] and [1.75, 2]

Let, be the right end point of each interval i=1,..8

Reiman sum is

you're missing vital information, add to it so we can solve this problem for you.

step-by-step explanation:

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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step-by-step explanation: