Answer:
8
Step-by-step explanation:
Mode is the number that repeats itself the most in data, because 8 contains the most X's, it is the mode
Answer:
∫₂³ √(1 + 64y²) dy
Step-by-step explanation:
∫ₐᵇ f(y) dy is an integral with respect to y, so the limits of integration are going to be the y coordinates. a = 2 and b = 3.
Arc length ds is:
ds = √(1 + (dy/dx)²) dx
ds = √(1 + (dx/dy)²) dy
Since we want the integral to be in terms of dy, we need to use the second one.
ds = √(1 + (8y)²) dy
ds = √(1 + 64y²) dy
Therefore, the arc length is:
∫₂³ √(1 + 64y²) dy
Answer:
140.37 in²
Step-by-step explanation:
C = 2πr
42 = 2πr
21 = πr
r = 21/π
A = πr²
A = π × (21/π)²
≈ 140.37 in²
The given equation is a wave function. When plotted, the graph is shown in the attached picture. However, the unit is in degrees instead of radians. A unit of π is equivalent to 180°. This plot could determine one variable if the other is given.