1.
lim x→ 0+ f(x)
you will find the limit is inf
lim x→ 0- f(x)
you will find the limit is - inf
because
lim x→0+ f(x) no equal to lim x→0- f(x)
thus lim x→0 f(x) does not exist
2.
form the graph
lim x→2- f(x) = 6
lim x→2+ f(x)= -2
because
lim x→2- f(x) not equal tolim x→2+ f(x)
thus lim x→2 f(x) does not exist
hope this would help you.
Answer:
Team 3 Turtle, by 4 minutes
Step-by-step explanation:
The speeds of each of the turtles can be computed from ...
speed = distance/time
Then for each of the turtles, the training pace is ...
Team 1 Turtle: (18 ft)/(6 min) = 3 ft/min
Team 2 Turtle: (12 ft)/(4 min) = 3 ft/min
Team 3 Turtle: (10 ft)/(2 min) = 5 ft/min
The times required to cover the 30 ft distance at these paces are ...
time = distance/speed
3 ft/min ⇒ (30 ft)/(3 ft/min) = 10 min
5 ft/min ⇒ (30 ft)/(5 ft/min) = 6 min
The 2nd-place finishers will take 10-6=4 minutes longer.
The expected winner is Team 3 Turtle by 4 minutes.
Answer: There will enough to paint the outside of a typical spherical water tower.
Step-by-step explanation:
1. Solve for the radius r from the formula for calculate the volume of a sphere. as following:
![V=\frac{4}{3}r^{3}\pi\\\frac{3V}{4\pi}=r^{3}\\r=\sqrt[3]{\frac{3V}{4\pi}}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7Dr%5E%7B3%7D%5Cpi%5C%5C%5Cfrac%7B3V%7D%7B4%5Cpi%7D%3Dr%5E%7B3%7D%5C%5Cr%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B3V%7D%7B4%5Cpi%7D%7D)
2. Substitute values:
![r=\sqrt[3]{\frac{3(66,840.28ft^{3})}{4\pi}}=25.17ft](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B3%2866%2C840.28ft%5E%7B3%7D%29%7D%7B4%5Cpi%7D%7D%3D25.17ft)
3. Substitute the value of the radius into the equation fo calculate the surface area of a sphere, then you obtain that the surface area of a typical spherical water tower is:
3. If a city has 25 gallons of paint available and one gallon of paint covers 400 square feet of surface area, you must multiply 25 by 400 square feet to know if there will be enough to paint the outside of a typical spherical water tower.
As you can see, there will enough to paint the outside of a typical spherical water tower.
D
Step-by-step explanation:
The correct answer is option D, which is 105, 90, 75, 60, 45.
