
(a)
To sketch: The graph of
(a)

Answer to Problem 1T
The domain of the function
Explanation of Solution
Graph:
Use online graphing calculator and draw the graph of
From Figure 1, it is noticed that the graph of
The domain of the function is the set of all possible values of
Thus, the domain of the function
The range of the function is the set of all pre-images of
The value of the function
Thus, the range of the function
As
Thus, the asymptotes parallel to the
The graph of the function cut first time on the
Therefore, the domain of the function
(b)
To sketch: The graph of
(b)

Answer to Problem 1T
The domain of the function
Explanation of Solution
Graph:
Use online graphing calculator and draw the graph of
From Figure 2, it is noticed that the graph of
The domain of the function is the set of all possible values of
Thus, the domain of the function
Substitute,
The range of the function is the set of all pre-images of
And the value of the function
Thus, the range of the function is
The function
Thus, the function
The graph of the function cut first time on the
The intercept on the
Therefore, the domain of the function
Chapter 4 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
- Consider the following system of equations, Ax=b : x+2y+3z - w = 2 2x4z2w = 3 -x+6y+17z7w = 0 -9x-2y+13z7w = -14 a. Find the solution to the system. Write it as a parametric equation. You can use a computer to do the row reduction. b. What is a geometric description of the solution? Explain how you know. c. Write the solution in vector form? d. What is the solution to the homogeneous system, Ax=0?arrow_forward2. Find a matrix A with the following qualities a. A is 3 x 3. b. The matrix A is not lower triangular and is not upper triangular. c. At least one value in each row is not a 1, 2,-1, -2, or 0 d. A is invertible.arrow_forwardFind the exact area inside r=2sin(2\theta ) and outside r=\sqrt(3)arrow_forward
- A 20 foot ladder rests on level ground; its head (top) is against a vertical wall. The bottom of the ladder begins by being 12 feet from the wall but begins moving away at the rate of 0.1 feet per second. At what rate is the top of the ladder slipping down the wall? You may use a calculator.arrow_forwardExplain the focus and reasons for establishment of 12.4.1(root test) and 12.4.2(ratio test)arrow_forwarduse Integration by Parts to derive 12.6.1arrow_forward
- Explain the relationship between 12.3.6, (case A of 12.3.6) and 12.3.7arrow_forwardExplain the key points and reasons for the establishment of 12.3.2(integral Test)arrow_forwardUse 12.4.2 to determine whether the infinite series on the right side of equation 12.6.5, 12.6.6 and 12.6.7 converges for every real number x.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





