A particle moves along the x x
-axis so that at time t≥0
t
≥
0
its position is given by x(t)=2t3+3t2−36t+50
x
(
t
)
=
2
t
3
+
3
t
2
−
36
t
+
50
. What is the total distance traveled by the particle over the time interval 0≤t≤5
0
≤
t
≤
5
?

() at a farm, animals are fed bales of hay and buckets of gain.each bale of hay is in the shape of a rectangular prism.the base side lengths 2 feet and 3 feet,and the height is 5 feet. each bucket of grain is a cylinder with diameter of 3 feet. the height of the bucket is 5 feet as the height of bale. a. which is larger in area, the rectangular base of the bale or the circular base of the bucket? explain how you know b. which is larger in volume, the bale or the bucket? explain how you know

Players on the school soccer team are selling candles to raise money for an upcoming trip. each player has 24 candles to sell. if a player sells 4 candles a profit of$30 is made. if he sells 12 candles a profit of $70 is made. determine an equation to model his situation?

[10 points, algebra 2]according to my answer key the restrictions are -1 and 4. but why not positive 1?