Plz help ASAP compute the following Riemann sums of the function p(z)= z^2 +1 on the interval 1≤z≤4
L_{5} M_{5} R_{5}
L_{25} M_{25} R_{25}
L_{100} M_{100} R_{100}

Make an educated guess of the exact area bounded by p(x)=z^2 +1 and the z-axis on the interval [1,4]
Exact Area=

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.

3 4 7 12 19

+1 +3 +5 +6

i would guess 26 because this isnt a sequential pattern or its to short to know