
Concept explainers
(a)
To sketch: The graph of equation
(a)

Explanation of Solution
The given equation is
Substitute different values of x to get corresponding values of y in above equation and make a table,
x |
|
|
| 0 |
|
|
|
|
0 |
|
|
Plot points from above table and connect them by a smooth curve which is shown in Figure (1),
Figure (1)
Figure (1) shows the graph of equation
(b)
To find: The x-intercepts and y-intercepts of graph of the equation
(b)

Answer to Problem 16T
The values of x-intercepts are
Explanation of Solution
Given:
The equation is,
Calculation:
Substitute 0 for y in equation (1) and solve for x to get the value of x-intercept,
The x-intercept is
Substitute 0 for x in given equation and solve for y to get the value of y-intercept,
The y-intercept is
The graph intersects the x-axis at
Thus, the values of x-intercepts are
(c)
To check: The symmetry of graph of the equation
(c)

Answer to Problem 16T
The graph of the equation
Explanation of Solution
The given equation is,
Replace y by
The above equation is not equivalent to equation (1) so the graph is not symmetric about the x-axis.
Replace x by
The above equation is equivalent to equation (1) so the graph is symmetric about y-axis shown in Figure (1),
The Figure (1) shows that the part of the graph to the left of the y-axis is the mirror image of the part to the right of the y-axis and the points
Thus, the graph of the equation
Chapter 1 Solutions
Precalculus - A Custom Text for UNLV
- Find the indefinite integral. Check Answer: In(5x) dx xarrow_forwardFind the indefinite integral. Check Answer: 7x 4 + 1x dxarrow_forwardHere is a region R in Quadrant I. y 2.0 T 1.5 1.0 0.5 0.0 + 55 0.0 0.5 1.0 1.5 2.0 X It is bounded by y = x¹/3, y = 1, and x = 0. We want to evaluate this double integral. ONLY ONE order of integration will work. Good luck! The dA =???arrow_forward
- 43–46. Directions of change Consider the following functions f and points P. Sketch the xy-plane showing P and the level curve through P. Indicate (as in Figure 15.52) the directions of maximum increase, maximum decrease, and no change for f. ■ 45. f(x, y) = x² + xy + y² + 7; P(−3, 3)arrow_forwardEX-let d'be ametric on a vector space X induced from a norm hx and d defind by a Slab)= {od (a, if a = b (a,b)+is ab Show that cannot be induced froman norm on X. 2) let à be trivel metric show that I cannot be induced from an norm on X- 3) let M be closed subspace of anormed spacex Construct the space X/Mas a normed space. 4) let Mix be vector space of 2x3 matrices on R write with Prove convex set and hyper Plane of M 5) show that every a finite dimension subspace of anormed space is closed.arrow_forwardplease do #48arrow_forward
- 43–46. Directions of change Consider the following functions f and points P. Sketch the xy-plane showing P and the level curve through P. Indicate (as in Figure 15.52) the directions of maximum increase, maximum decrease, and no change for f. ■ 45. f(x, y) = x² + xy + y² + 7; P(−3, 3)arrow_forwardplese do #48arrow_forward43-46. Directions of change Consider the following functions f and points P. Sketch the xy-plane showing P and the level curve through P. Indicate (as in Figure 15.52) the directions of maximum increase, maximum decrease, and no change for f. T 45. f(x, y) = x² + xy + y² + 7; P(−3, 3)arrow_forward
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning





