Answer:
1.05
Step-by-step explanation:
shop A: 2x3= 6
shop b: 5 for 1.10, 5 more for .55, so 1.65/10
1.65×3= 4.95
6-4.95= 1.05
Check the attached file for the answer.
Looking through my old calc notes, I am reading that f(x) needs to be continuous on [a,b] and f ' (x) also needs to be continuous on [a,b]. Both conditions are needed. If you had to pick just one, then I'd say f(x) being continuous is much more important. Though I'm not 100% sure on this one. My thinking is that if there was any discontinuities on f(x), then the arc length would be distorted and overblown. The arc length should not account for any piece that isn't on the curve.
Answer:
The initial height of the balloon is 2 feet.
Step-by-step explanation:
The height of the balloon in feet after t seconds is given by the following equation:

What is the initial height of the balloon?
This is h when t = 0, that is, h(0). So

The initial height of the balloon is 2 feet.
Answer: 1.5
Step-by-step explanation:Let the standard deviation of the shoe size be represented by ' ' and the mean shoe size be represented by ' = 7.5'. Also, the sizes of the shoe be represented by ' '. So, . Hence, the standard deviation of the shoe size data for the math class is 1.5.