1)You have456feet of fencing to enclose a rectangular plot of land. Find the dimensions of the rectangular plot that would maximize the area. List the smaller number first.

Dimensions: feet feet

2) You have776feet of fencing to enclose a rectangular plot of land with one side along a river. No fencing is to be used on the side of the field containing the river. Find the dimensions of the field that will maximize the area of the field. List the smaller dimension first.

Smaller dimension:feet Larger dimension:feet 3) A rectangular field is to be fenced off, and then divided in two by a fence running parallel to one of the sides. If822meters of fencing can be used, find the dimensions of the field that will maximize the total area, and then find the maximum area. List the smaller dimension first. Smaller dimension:meters Larger dimension:meters Total area enclosed:meters^2 4) The velocity of a subatomic particle moving through space can be modeled by v(t)=0.8t^23.5t+0.4 fort0wheretis time in seconds andvis velocity in m/s.

Find the following:

Round all answers to 2 decimal places.

If the answer is a decimal with a leading zero, make sure to type in the zero in front of the decimal. So 0.15 would be entered as "0.15" instead of ".15"

(a)The time(s)tat which the particle is not moving:0.12and4.26

You are correct. Your receipt no. is 156-1342

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(b)The interval(s) over which the particle is moving forward: (Remember to write union as U and infinite as INF)[0,0.12)U(4.26,INF)

You are correct. Your receipt no. is 156-3123

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(b)The interval(s) over which the particle is moving backwards: (Remember to write union as U and infinite as INF)