Compare the formula for mutiple trapezoidal rule n=3 versus the addition of 3 single trapezoidal rule for the same problem. compare the answer, will it be the same and why?
single trapezoidal rule :
fа) + f(6) 1- (6 — а) га) 2
multiple trapezoidal rule :
f(x)) f(x,) i (b-a)o) + (2 2n
example: f(x)=0.2+25x-200x2+675x3-900x4+400x 5
a=0 b=0.8

Asample of a gaseous substance changes into liquid. this process is called (blank) and it takes place when heat is (blank) a gaseous system

In the middle of the night you are standing a horizontal distance of 14.0 m from the high fence that surrounds the estate of your rich uncle. the top of the fence is 5.00 m above the ground. you have taped an important message to a rock that you want to throw over the fence. the ground is level, and the width of the fence is small enough to be ignored. you throw the rock from a height of 1.60 m above the ground and at an angle of 54.0 degrees above the horizontal. part a part complete what minimum initial speed must the rock have as it leaves your hand to clear the top of the fence? express your answer with the appropriate units. part b for the initial velocity calculated in the previous part, what horizontal distance beyond the fence will the rock land on the ground?

The heat fusion is the amount of heat required to__ a- evaporate 1 g of liquid into gas b-make a substance subliminate c- melt 1g of solid into liquid d-make material combust