limewolf106Lv1
8 Nov 2021
Problem 37
Page 474
Section 6.6: Applications to Physics and Engineering
Chapter 6: Application of Integration
Textbook ExpertVerified Tutor
8 Nov 2021
Given information
The width of the triangular end is 8 m and it is equilateral with vertex at the bottom.
Step-by-step explanation
Step 1.
Since the triangle is equilateral with side 8 cm,obtain the height of the triangle by aplying pythagoras theorem into the triangle having sides 4cm, and hypotenuse 8cm.
While the depth increases by , the width decreases by 8 m. So, at any depth h from the surface of water, the width w of the plate is given by
So,Compute the area of a thin horizontal strip of the triangle of thickness dh at this depth h.