Answer:
(a) 2 feet.
(b) 2 feet.
Step-by-step explanation:
We have been given that the velocity function 
in feet per second, is given for a particle moving along a straight line.
(a) We are asked to find the displacement over the interval 
.
Since velocity is derivative of position function , so to find the displacement (position shift) from the velocity function, we need to integrate the velocity function.
Using power rule, we will get:
![\left[\frac{t^{-\frac{1}{2}+1}}{-\frac{1}{2}+1}}\right] ^4_1](https://tex.z-dn.net/?f=%5Cleft%5B%5Cfrac%7Bt%5E%7B-%5Cfrac%7B1%7D%7B2%7D%2B1%7D%7D%7B-%5Cfrac%7B1%7D%7B2%7D%2B1%7D%7D%5Cright%5D%20%5E4_1)
![\left[\frac{t^{\frac{1}{2}}}{\frac{1}{2}}}\right] ^4_1](https://tex.z-dn.net/?f=%5Cleft%5B%5Cfrac%7Bt%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%7D%7B%5Cfrac%7B1%7D%7B2%7D%7D%7D%5Cright%5D%20%5E4_1)
![\left[2t^{\frac{1}{2}}\right] ^4_1](https://tex.z-dn.net/?f=%5Cleft%5B2t%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%5Cright%5D%20%5E4_1)
Therefore, the total displacement on the interval would be 2 feet.
(b). For distance we need to integrate the absolute value of the velocity function.
Since square root is not defined for negative numbers, so our integral would be .
We already figured out that the value of is 2 feet, therefore, the total distance over the interval would be 2 feet.
Answer:
Approximately 197 bags.HOPE THIS HELPS
Step-by-step explanation:divided 3945 by 20 which gave me 197.25 and rounded
C) -5,-2,1,4,6 is the correct answer
Answer:
volume of cylinder : πr²×h = π × 5² × 15 = 375π ≈ 1177.5 cm³
Answer:
Dilate circle A by a scale factor of 4.
Step-by-step explanation:
Dilating circle A by 4 would be the same as multiplying its radius of 6 by 4, which would make it 24.
The radius of circle B is 24.
Rotating it wouldn't change anything (it's a circle), and I don't think reflecting and translating show circle similarity
