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:
What triangle
Step-by-step explanation:
Answer:
let difference be x
Step-by-step explanation:
you can solve for x by keeping the 2 statesments as conditions.
then you solve for both equations together by adding subtracting or multiplying.
eg: let x be the number.
the. proceed with conditions as equations
then solve
then your answer is here
Answer:

Step-by-step explanation:
Given that,
The perimeter of the base of pyramid, P = 10.7 ft
The height of the pyramid, h = 9.8 ft
We need to find the volume of the pyramid.
The perimeter of square is given by :
4s = 10.7, s is side
s = 2.675 ft
Now the volume of pyramid is given by :

So, the volume of the pyramid is equal to
.