ice sculpture originally has a height of 74 1/4 inches. The ice sculpture begins to melt and after several hours, the height has
1 answer:
You might be interested in
Answer:
(a)
(b)
Step-by-step explanation:
The given function is
.... (1)
According to the first principle of the derivative,
Cancel out common factors.
By applying limit, we get
.... (2)
Therefore .
(b)
Put x=2, to find the y-coordinate of point of tangency.
The coordinates of point of tangency are (2,0.25).
The slope of tangent at x=2 is
Substitute x=2 in equation 2.
The slope of the tangent line at x=2 is -0.25.
The slope of tangent is -0.25 and the tangent passes through the point (2,0.25).
Using point slope form the equation of tangent is
Therefore the equation of the tangent line at x=2 is y=-0.25x+0.75.
Set is a sum of two intervals :(1,4) u [2,6]
In the first interval it is open on both sides so 1 and 4 don't belong to this interval, the second is closed so both 2 and 6 belong to interval and numbers between 2 and 6
We can write it as 1<x
summing both sets we have one set: (1,6]
so
a) represent our set
b) also represent because all numbers between 4-6 and 6 are in our set
c)also represent, all numbers are in main set
d)also represent
In the first interval it is open on both sides so 1 and 4 don't belong to this interval, the second is closed so both 2 and 6 belong to interval and numbers between 2 and 6
We can write it as 1<x
summing both sets we have one set: (1,6]
so
a) represent our set
b) also represent because all numbers between 4-6 and 6 are in our set
c)also represent, all numbers are in main set
d)also represent