Step-by-step explanation:
The integral was obtained using cylindrical shells. The volume of each shell is:
dV = 2π r h t
where r is the radius, h is the height, and t is the thickness.
The thickness is either dx or dy. Looking at the integral, we can tell it is dy. So the solid is revolved about the x-axis (or a line parallel to the x-axis).
The radius will be y. So the height must be x = 9/(9+y²).
So the solid is obtained by rotating the region 0 ≤ x ≤ 9/(9+y²), 0 ≤ y ≤ 3 about the x-axis.
Answer: False but true
Step-by-step explanation: This question is all about slope. Slope is rise over run (y/x).
Plant 1:
Plant one has a rate of change of 1 for x. You see how it's going up by 1. For y, it's going up by three, which means that the slope is 3/1, which is three. Three is not equal to six.
Plant 2: follow the points that touch the x and y intersections (my teacher calls them "pretty points"). You see that the slope is 1, because it's going up and right by 1, so 1/1.
Although the measurements are wrong, the statment is true, because 3>1.
Answer:83999955 because of the gravity
Step-by-step explanation:
Answer:
1/6, 3/7, 2/3, 4/5
Step-by-step explanation:
Answer:
36%
Step-by-step explanation:
Jeans: 14
Shorts: 9
Capris: 2
Total number of students = Number of Jeans + Number of Shorts + Number of Capris
Total number of students = 14 + 9 + 2 = 25
% of students wearing shorts = Number of shorts / Total number of students * 100
% of students wearing shorts = 9 / 25 * 100 = 0.36 * 100 = 36%