(a)
To state: the domain of the given function.
(a)
Answer to Problem 57E
The domain of the given function is
Explanation of Solution
Given information:
Consider
Calculation:
The domain is the set of x values for which the function is defined.
Find the undefined values of
The function is define for all real values of x except at
Hence, the domain is
(b)
To identify: all the intercepts of the given function.
(b)
Answer to Problem 57E
The x- intercept is
Explanation of Solution
Given information:
Consider
Calculation:
The x- intercept is the point at which the graph of the function crosses the x- axis.
The y- intercept is the point at which the graph of the function crosses the y- axis.
Hence, the x- intercept is
(c)
To find: the vertical or slant asymptotes of the given function.
(c)
Answer to Problem 57E
The oblique asymptote is
Explanation of Solution
Given information:
Consider
Calculation:
Degree of numerator is greater than the degree of denominator. So there is no horizontal
Asymptote. Slant asymptote is there.
To find vertical asymptote equate denominator to zero.
Hence, the oblique asymptote is
(d)
To plot: the given function.
(d)
Explanation of Solution
Given information:
Consider
Graph:
The graph of the
Chapter 2 Solutions
EBK PRECALCULUS W/LIMITS
- The path of a particle moving in a straight line is given by s = t^3 - 6t^2+ 9t + 4, where s is in ft and t in seconds. a. Finds and a when v = 0. b. Find s and v when a = 0.show the graph if needed and write the solution with a penarrow_forwardfind the roots it may help to know b =1arrow_forwardThe answer is C Could you show me how to do itarrow_forward
- Find all solutions for v when v5 - 3q = 0.arrow_forwardHow would i solve this. More info is that b =1 but it might be better to solve this before making the substitutionarrow_forwardLet m(t) be a continuous function with a domain of all real numbers. The table below shows some of the values of m(t) . Assume the characteristics of this function are represented in the table. t -3 -2 8 11 12 m(t) -7 6 3 -9 0 (a) The point (-3, -7) is on the graph of m(t). Find the corresponding point on the graph of the transformation y = -m(t) + 17. (b) The point (8, 3) is on the graph of m(t). Find the corresponding point on the graph of the transformation y = -m (−t) . 24 (c) Find f(12), if we know that f(t) = |m (t − 1)| f(12) =arrow_forward
- Suppose the number of people who register to attend the Tucson Festival of Books can be modeled by P(t) = k(1.1), where t is the number of days since the registration window opened. Assume k is a positive constant. Which of the following represents how long it will take in days for the number of people who register to double? t = In(1.1) In(2) In(2) t = In(1.1) In(1.1) t = t = t = In(2) - In(k) In(2) In(k) + In(1.1) In(2) - In(k) In(1.1)arrow_forwardUse the method of washers to find the volume of the solid that is obtained when the region between the graphs f(x) = √√2 and g(x) = secx over the interval ≤x≤ is rotated about the x-axis.arrow_forward5 Use the method of disks to find the volume of the solid that is obtained when the region under the curve y = over the interval [4,17] is rotated about the x-axis.arrow_forward
- 3. Use the method of washers to find the volume of the solid that is obtained when the region between the graphs f(x) = √√2 and g(x) = secx over the interval ≤x≤ is rotated about the x-axis.arrow_forward4. Use cylindrical shells to find the volume of the solid generated when the region enclosed by the given curves is revolved about the x-axis. y = √√x, y = 0, y = √√3arrow_forward5 4 3 21 N -5-4-3-2 -1 -2 -3 -4 1 2 3 4 5 -5+ Write an equation for the function graphed above y =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