In Problems 47–52, use a graphing calculator to graph the region R bounded by the graphs of the indicated equations. Use approximation techniques to find intersection points correct to two decimal places. Describe R in set notation with double inequalities, and evaluate the indicated integral correct to two decimal places. 47. y = 1 + x , y = x 2 , x = 0 ; ∬ R x d A
In Problems 47–52, use a graphing calculator to graph the region R bounded by the graphs of the indicated equations. Use approximation techniques to find intersection points correct to two decimal places. Describe R in set notation with double inequalities, and evaluate the indicated integral correct to two decimal places. 47. y = 1 + x , y = x 2 , x = 0 ; ∬ R x d A
Solution Summary: The author illustrates how the graph of the region can be sketched using the online graphing calculator.
In Problems 47–52, use a graphing calculator to graph the region R bounded by the graphs of the indicated equations. Use approximation techniques to find intersection points correct to two decimal places. Describe R in set notation with double inequalities, and evaluate the indicated integral correct to two decimal places.
47.
y
=
1
+
x
,
y
=
x
2
,
x
=
0
;
∬
R
x
d
A
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
In Problems 13–24, determine whether the graph is that of a function by using the vertical-line test. If it is, use the graph to find:(a) The domain and range (b) The intercepts, if any (c) Any symmetry with respect to the x-axis, the y-axis, or the origin
In Problems 11–18, match each graph to its function.
A. Constant function
E. Square root function
B. Identity function
F. Reciprocal function
C. Square function
G. Absolute value function
D. Cube function
H. Cube root function
11.
12.
13.
14.
15.
16.
17.
18.
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
Chapter 7 Solutions
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.
Definite Integral Calculus Examples, Integration - Basic Introduction, Practice Problems; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=rCWOdfQ3cwQ;License: Standard YouTube License, CC-BY