a.
Find the maximum displacement.
a.

Answer to Problem 52E
Explanation of Solution
Given information:
For the simple harmonic motion described by the trigonometric function.
Find the maximum displacement.
Calculation:
Consider the given equation
The maximum displacement from the point of equilibrium is amplitude which is the coefficient of
Hence, The maximum displacement is
b.
Find the frequency.
b.

Answer to Problem 52E
Explanation of Solution
Given information:
For the simple harmonic motion described by the trigonometric function.
Find the frequency.
Calculation:
Consider the given equation
Hence, the frequency is
c.
Find the value of
c.

Answer to Problem 52E
Explanation of Solution
Given information:
For the simple harmonic motion described by the trigonometric function.
The value of
Calculation:
Consider the given equation
Hence, the value of
d.
The least positive value of
d.

Answer to Problem 52E
Explanation of Solution
Given information:
For the simple harmonic motion described by the trigonometric function.
The least positive value of
Calculation:
Consider the given equation
For least value of
Hence, the least positive value of
Now use a graphing utility to verify your results.
Use
Press
Press window button and set window parameter.
Press the TRACE button and view the graph of the function,
Now press 2nd and CALC and select option
Hence when
Now press 2nd and CALC and select option
Hence, when
Now press 2nd and CALC and select option
Hence, when
Chapter 4 Solutions
EBK PRECALCULUS W/LIMITS
- 48. f(x) = { 4 x if x < 2 2x 2 if x 2arrow_forwardГ 49. -x+1 if x 1 Answer ->arrow_forwardA Content X MindTap - Cengage Learning x Function Evaluations x + /ui/evo/index.html?elSBN=9780357038406&id=339416021&snapshotld=877369& GE MINDTAP , Limits, and the Derivative ⭑ វា a ANSWEI 16. Refer to the graph of the function f in the following figure. कर्ट AA C 54 -3-2 7 7 Ay 6. S 5. y=f(x) 4 3. 2. 1 -3- 34567 8 00 9 10 a. Find the value of ƒ (7). b. Find the values of x corresponding to the point(s) on the graph of ƒ located at a height of 5 units from the x-axis. c. Find the point on the x-axis at which the graph of ƒ crosses it. What is the value of f (x) at this point? d. Find the domain and range of f. MacBook Pro G Search or type URL + > % Λ & 5 6 7 29 ( 8 9 0arrow_forward
- Morgan F. - C X A Courses MindTap - Cengage Learning Х Domain of Square Roots X + gage.com/static/nb/ui/evo/index.html?elSBN 9780357038406&id=339416021&snapshotld=877369& CENGAGE MINDTAP 2: Functions, Limits, and the Derivative 47. x if x < 0 f(x) = 2x+1 if x 0 Answerarrow_forwardA Content MindTap - Cengage Learning × Function Evaluations * + c/nb/ui/evo/index.html?elSBN 9780357038406&id=339416021&snapshotld=877369& GAGE MINDTAP ions, Limits, and the Derivative 15. Refer to the graph of the function f in the following figure. 6 y = f(x) 5 4+ 3- 2- 1 + 2 -1 3 4 5 6 a. Find the value of ƒ (0). Answer-> b. Find the value of x for which (i) f (x) = 3 and (ii) f (x) = 0. Answer ▾ c. Find the domain of f. Answer + d. Find the range of f. Answer+ MacBook Proarrow_forwardAnswer-> 12. Let g be the function defined by Find g(-2), g(0), g (2), and g (4). - +1 if x <2 g(x) = √√√x-2 if x 2arrow_forward
- 13. Let f be the function defined by Find f (-1), f (0), ƒ (1) and ƒ (2). Answer f(x) = .2 J-x² +3 if x <1 2x²+1 2x²+1 if x ≥ 1arrow_forwardΛ Content Mind Tap - Cengage Learning × Function Evaluations x + c/nb/ui/evo/index.html?elSBN 9780357038406&id=339416021&snapshotld=877369& GAGE MINDTAP ons, Limits, and the Derivative 14. Let f be the function defined by Find f (0), f (1), and f (2). 2+1 x if x 1 if x 1 f(x) = 1 1-xarrow_forwardA Content c/nb/ui/evo/index.html?elSBN 9780357038406&id=339416021&snapshotld=877369& GAGE MINDTAP ons, Limits, and the Derivative 11. Let f be the function defined by Find f (-2), f (0), and f (1). Answer f(x) = [ x² + 1 if x ≤ 0 if x > 0arrow_forward
- Given that 4−4i is a zero, factor the following polynomial function completely. Use the Conjugate Roots Theorem, if applicable. f(x)=x4−5x3−2x2+176x−320arrow_forwardeliminate the parameter to find the cartesian equation of the curve and sketch the graph. On the graph show the direction it takes and the initial and terminal point. Please draw by hand and show how you got to each steparrow_forwardeliminate the parameter to find the cartesian equation of the curve and sketch the graph. On the graph show the direction it takes and the initial and terminal point. Please draw by hand and show how you got to each steparrow_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





