5. (5 points) You have probably experienced that ∫ −2 [[infinity],0] is not an integrable form. You might know that

this is related to a bell curve / normal distribution and its result is an error function with values that can be

calculated, so certainly there must be some way we can evaluate it. Do so by applying the theorem you

proved above and by making use of the polar coordinate system to evaluate ∫e−2x [[infinity],0]∙ ∫ −2 [0,[infinity]]

Find the actual dimensions of the box. the side length are in meters and integers. the surface area of the box is 104 m2 and volume of the box is 60 m3.

The school track has eight lanes. each lane is 1.25 meters wide. the arc at each end of the track is 180. the distance of the home straight and the radii for the arcs in the 1st 4 lanes are given. s=85m r1=36.5m r2=37.75m r3=39m r4=40.25m part one: find the radii of lanes 5 through 8 of the track. show your work. part two: if max ran around lane one, how far did he run? show your work and explain your solution. part three: max wants to run a total of three laps around the track, choose two additional lanes (2-8) for him to run and find the distance around those two lanes. show your work and round to the hundredths. part 4: based on your lane choices in part three, what was the total distance max ran in the three laps around the track?

For the chance to be team captain, the numbers 1-30 are put in a hat and you get two chances to pick a number, without replacement. which formula correctly shows how to find the probability that you choose the number 1 and then 2?