In Problems 31–34, find the average value of each function over the given rectangle. 34. f ( x , y ) = x 2 y 3 ; R = { ( x , y ) | − 1 ≤ x ≤ 1 , 0 ≤ y ≤ 2 }
In Problems 31–34, find the average value of each function over the given rectangle. 34. f ( x , y ) = x 2 y 3 ; R = { ( x , y ) | − 1 ≤ x ≤ 1 , 0 ≤ y ≤ 2 }
Solution Summary: The author explains how to find the average value of f(x,y).
4. A box with an open top is to be constructed from a rectangular piece of cardboard
with dimensions 14 cm by 22 cm by cutting out equal squares of side x at each
corner and then folding up the sides as shown in Figure 3. Express the volume V
of the box as a function of x.
- 22-
Figure 3
8. Which of the functions below is NOT linear?
A. y = 2x
B. y = 2x+ 1
C. y = 2(x+ 1)
D. y = 2x2 + 1
In Exercises 29-32, the graph of a function f(y) is given. Sketch the phase line for the
autonomous differential equation dy/dt = f(y).
Chapter 7 Solutions
Pearson eText for Calculus for Business, Economics, Life Sciences, and Social Sciences, Brief Version -- Instant Access (Pearson+)
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Fundamental Theorem of Calculus 1 | Geometric Idea + Chain Rule Example; Author: Dr. Trefor Bazett;https://www.youtube.com/watch?v=hAfpl8jLFOs;License: Standard YouTube License, CC-BY