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14 + Write a fully simplified rational function with the asymptotes and point shown. No steps needed (-2, 6) 2 -5 A f(x) = Domain: 4 5 Range: -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 4 5 6 7

14 + Write a fully simplified rational function with the asymptotes and point shown. No steps needed (-2, 6) 2 -5 A f(x) = Domain: 4 5 Range: -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 4 5 6 7

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 74E
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I am absolutely lost. please help. both images are part of the same question. 

A mass m is attached to both a spring (with given spring constant k) and a dashpot (with given damping constant c ). The mass is set in motion with initial position x, and initial velocity vo Find the position function x(t) and determine whether the motion is overdamped, critically damped, or underdamped. If it is underdamped, write the position function in the form x(t) =C, e P that would result if the mass on the spring were set in motion with the same initial position and velocity, but with the dashpot disconnected (so c= 0). Finally, construct a figure that illustrates the effect of damping by comparing the graphs of x(t) and u(t). (0,t-a, ) Also, find the undamped position function u(t) = Co cos (@ot -40) COS 21 c= 4, k= 6, xo = 6, Vo = 0 x(t) = (Use integers or decimals for any numbers in the expression. Round to four decimal places as needed. Type any angle measures in radians. Use angle measures greater than or equal to 0 and less than or equal to 2n.) which means the system is The undamped position is u(t) = (Use integers or decimals for any numbers in the expression. Round to four decimal places as needed. Type any angle measures in radians. Use angle measures greater than or equal to 0 and less than or equal to 2x.) Choose the correct graph that compares x(t) and u(t). O A. O B. O D.
Transcribed Image Text:A mass m is attached to both a spring (with given spring constant k) and a dashpot (with given damping constant c ). The mass is set in motion with initial position x, and initial velocity vo Find the position function x(t) and determine whether the motion is overdamped, critically damped, or underdamped. If it is underdamped, write the position function in the form x(t) =C, e P that would result if the mass on the spring were set in motion with the same initial position and velocity, but with the dashpot disconnected (so c= 0). Finally, construct a figure that illustrates the effect of damping by comparing the graphs of x(t) and u(t). (0,t-a, ) Also, find the undamped position function u(t) = Co cos (@ot -40) COS 21 c= 4, k= 6, xo = 6, Vo = 0 x(t) = (Use integers or decimals for any numbers in the expression. Round to four decimal places as needed. Type any angle measures in radians. Use angle measures greater than or equal to 0 and less than or equal to 2n.) which means the system is The undamped position is u(t) = (Use integers or decimals for any numbers in the expression. Round to four decimal places as needed. Type any angle measures in radians. Use angle measures greater than or equal to 0 and less than or equal to 2x.) Choose the correct graph that compares x(t) and u(t). O A. O B. O D.
SpAng constant k) and a dashpot (with given damping constant c). The mass is set in motion with initial position x and initial velocity vo. Find the position function x(t) am whether the motion is overdamped, critically damped, or underdamped. If it is underdamped, write the position function in the form x(t) =C, e¯P cos (o,t-a,). Also, find the undamped position function u(t) = C, cos ( that would result if the mass on the spring were set in motion with the same initial position and velocity, but with the dashpot disconnected (so c= 0). Finally, construct a figure that illustrates the effect of damping by comp graphs of x(t) and u(t). pt 1 m3=D 2.c= 4, k=6, xo = 6, Vo=D0 ... Choose the correct graph that compares x(t) and u(t). A. O B. C. O D. x 2 2 2/ 3 -6- Click to select your answer(S).
Transcribed Image Text:SpAng constant k) and a dashpot (with given damping constant c). The mass is set in motion with initial position x and initial velocity vo. Find the position function x(t) am whether the motion is overdamped, critically damped, or underdamped. If it is underdamped, write the position function in the form x(t) =C, e¯P cos (o,t-a,). Also, find the undamped position function u(t) = C, cos ( that would result if the mass on the spring were set in motion with the same initial position and velocity, but with the dashpot disconnected (so c= 0). Finally, construct a figure that illustrates the effect of damping by comp graphs of x(t) and u(t). pt 1 m3=D 2.c= 4, k=6, xo = 6, Vo=D0 ... Choose the correct graph that compares x(t) and u(t). A. O B. C. O D. x 2 2 2/ 3 -6- Click to select your answer(S).
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