Fundamentals of Differential Equations and Boundary Value Problems
7th Edition
ISBN: 9780321977106
Author: Nagle, R. Kent
Publisher: Pearson Education, Limited
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Find all solutions of the polynomial congruence
x²+4x+1 = 0 (mod 143).
(The solutions of the congruence x² + 4x+1=0 (mod 11) are x = 3,4 (mod 11) and the
solutions of the congruence x² +4x+1 = 0 (mod 13) are x = 2,7 (mod 13).)
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Determine whether each function is an injection and determine whether each is a surjection.The notation Z_(n) refers to the set {0,1,2,...,n-1}. For example, Z_(4)={0,1,2,3}. f: Z_(6) -> Z_(6) defined by f(x)=x^(2)+4(mod6). g: Z_(5) -> Z_(5) defined by g(x)=x^(2)-11(mod5). h: Z*Z -> Z defined by h(x,y)=x+2y. j: R-{3} -> R defined by j(x)=(4x)/(x-3).
Chapter 4 Solutions
Fundamentals of Differential Equations and Boundary Value Problems
Ch. 4.1 - Verify that for b=0 and Fext(t)=0, equation (3)...Ch. 4.1 - If Fext(t)=0, equation (3) becomes my+by+ky=0. For...Ch. 4.1 - Show that if Fext(t)=0, m=1, k=9, and b=6, then...Ch. 4.1 - Prob. 4ECh. 4.1 - Verify that the exponentially damped sinusoid...Ch. 4.1 - An external force F(t)=2cos2t is applied to a...Ch. 4.1 - In Problems 79, find a synchronous solution of the...Ch. 4.1 - In Problems 79, find a synchronous solution of the...Ch. 4.1 - In Problems 79, find a synchronous solution of the...Ch. 4.1 - Undamped oscillators that are driven at resonance...
Ch. 4.2 - In Problems 1-12, find a general solution to the...Ch. 4.2 - In Problems 1-12, find a general solution to the...Ch. 4.2 - In Problems 1-12, find a general solution to the...Ch. 4.2 - In Problems 1-12, find a general solution to the...Ch. 4.2 - In Problems 1-12, find a general solution to the...Ch. 4.2 - In Problems 1-12, find a general solution to the...Ch. 4.2 - In Problems 1-12, find a general solution to the...Ch. 4.2 - In Problems 1-12, find a general solution to the...Ch. 4.2 - In Problems 1-12, find a general solution to the...Ch. 4.2 - In Problems 1-12, find a general solution to the...Ch. 4.2 - In Problems 1-12, find a general solution to the...Ch. 4.2 - In Problems 1-12, find a general solution to the...Ch. 4.2 - In Problems 13-20, solve the given initial value...Ch. 4.2 - In Problems 13-20, solve the given initial value...Ch. 4.2 - In Problems 13-20, solve the given initial value...Ch. 4.2 - In Problems 13-20, solve the given initial value...Ch. 4.2 - In Problems 13-20, solve the given initial value...Ch. 4.2 - In Problems 13-20, solve the given initial value...Ch. 4.2 - In Problems 13-20, solve the given initial value...Ch. 4.2 - Prob. 20ECh. 4.2 - Prob. 21ECh. 4.2 - Prob. 22ECh. 4.2 - In Problems 22-25, use the method described in...Ch. 4.2 - Prob. 24ECh. 4.2 - In Problems 22-25, use the method described in...Ch. 4.2 - 26.Boundary Value Problems. When the values of a...Ch. 4.2 - In Problems 27 32, use Definition 1 to determine...Ch. 4.2 - In Problems 2732, use Definition 1 to determine...Ch. 4.2 - Prob. 29ECh. 4.2 - Prob. 30ECh. 4.2 - In Problems 2732, use Definition 1 to determine...Ch. 4.2 - Prob. 32ECh. 4.2 - Prob. 33ECh. 4.2 - Wronskian. For any two differentiable functions y1...Ch. 4.2 - Prob. 35ECh. 4.2 - Prob. 36ECh. 4.2 - In Problems 3741, find three linearly independent...Ch. 4.2 - Prob. 38ECh. 4.2 - In Problems 3741, find three linearly independent...Ch. 4.2 - In Problems 3741, find three linearly independent...Ch. 4.2 - Prob. 41ECh. 4.2 - Prob. 42ECh. 4.2 - Prob. 43ECh. 4.2 - Solve the initial value problem: y2yy+2y=0;...Ch. 4.2 - Prob. 45ECh. 4.2 - Prob. 46ECh. 4.3 - In Problems 1-8, the auxiliary equation for the...Ch. 4.3 - In Problems 1-8, the auxiliary equation for the...Ch. 4.3 - Prob. 3ECh. 4.3 - Prob. 4ECh. 4.3 - In Problems 1-8, the auxiliary equation for the...Ch. 4.3 - In Problems 1-8, the auxiliary equation for the...Ch. 4.3 - In Problems 1-8, the auxiliary equation for the...Ch. 4.3 - In Problems 1-8, the auxiliary equation for the...Ch. 4.3 - In Problems 9-20, find a general solution....Ch. 4.3 - In Problems 9-20, find a general solution....Ch. 4.3 - In Problems 9-20, find a general solution....Ch. 4.3 - In Problems 9-20, find a general solution. u+7u=0Ch. 4.3 - In Problems 9-20, find a general solution....Ch. 4.3 - In Problems 9-20, find a general solution....Ch. 4.3 - In Problems 9-20, find a general solution....Ch. 4.3 - In Problems 9-20, find a general solution....Ch. 4.3 - In Problems 9-20, find a general solution. yy+7y=0Ch. 4.3 - In Problems 9-20, find a general solution....Ch. 4.3 - In Problems 9-20, find a general solution....Ch. 4.3 - In Problems 9-20, find a general solution. yy+2y=0Ch. 4.3 - In Problems 21-27, solve the given initial value...Ch. 4.3 - In Problems 21-27, solve the initial value...Ch. 4.3 - In Problems 21-27, solve the given initial value...Ch. 4.3 - In Problems 21-27, solve the given initial value...Ch. 4.3 - In Problems 21-27, solve the given initial value...Ch. 4.3 - Prob. 26ECh. 4.3 - In Problems 21-27, solve the given initial value...Ch. 4.3 - To see the effect of changing the parameters b in...Ch. 4.3 - Find a general solution to the following...Ch. 4.3 - Prob. 30ECh. 4.3 - Using the mass-spring analogy, predict the...Ch. 4.3 - Vibrating Spring without Damping. A vibrating...Ch. 4.3 - Vibrating Spring with Damping. Using the model for...Ch. 4.3 - Prob. 34ECh. 4.3 - Swinging Door. The motion of a swinging door with...Ch. 4.3 - Prob. 36ECh. 4.3 - Prob. 37ECh. 4.3 - Prove the sum of angles formula for the sine...Ch. 4.4 - In Problem 1-8, decide whether or not the method...Ch. 4.4 - In Problem 1-8, decide whether or not the method...Ch. 4.4 - In Problem 1-8, decide whether or not the method...Ch. 4.4 - In Problem 1-8, decide whether or not the method...Ch. 4.4 - In Problem 1-8, decide whether or not the method...Ch. 4.4 - Prob. 6ECh. 4.4 - In Problem 1-8, decide whether or not the method...Ch. 4.4 - Prob. 8ECh. 4.4 - In Problems 9-26, find a particular solution to...Ch. 4.4 - In Problems 9-26, find a particular solution to...Ch. 4.4 - In Problem 9-26, find a particular solution to the...Ch. 4.4 - Prob. 12ECh. 4.4 - In Problems 9-26, find a particular solution to...Ch. 4.4 - In Problems 9-26, find a particular solution to...Ch. 4.4 - In Problems 9-26, find a particular solution to...Ch. 4.4 - Prob. 16ECh. 4.4 - In Problems 9-26, find a particular solution to...Ch. 4.4 - Prob. 18ECh. 4.4 - In Problems 9-26, find a particular solution to...Ch. 4.4 - Prob. 20ECh. 4.4 - In Problems 9-26, find a particular solution to...Ch. 4.4 - In Problems 9-26, find a particular solution to...Ch. 4.4 - In Problems 9-26, find a particular solution to...Ch. 4.4 - In Problems 9-26, find a particular solution to...Ch. 4.4 - In Problems 9-26, find a particular solution to...Ch. 4.4 - In Problems 9-26, find a particular solution to...Ch. 4.4 - In Problems 2732, determine the form of a...Ch. 4.4 - In Problems 27 32, determine the form of a...Ch. 4.4 - In Problems 2732, determine the form of a...Ch. 4.4 - In Problems 2732, determine the form of a...Ch. 4.4 - Prob. 31ECh. 4.4 - In Problems 2732, determine the form of a...Ch. 4.4 - Prob. 33ECh. 4.4 - In Problems 3336, use the method of undetermined...Ch. 4.4 - Prob. 35ECh. 4.4 - In Problems 3336, use the method of undetermined...Ch. 4.5 - Given that y1(t)=cost is a solution to yy+y=sint...Ch. 4.5 - Given that y1(t)=(1/4)sin2t is a solution to...Ch. 4.5 - In Problems 3-8, a nonhomogeneous equation and a...Ch. 4.5 - In Problem 3-8, a nonhomogeneous equation and a...Ch. 4.5 - In Problem 3-8, a nonhomogeneous equation and a...Ch. 4.5 - In Problems 3-8, a nonhomogeneous equation and a...Ch. 4.5 - In Problems 3-8, a nonhomogeneous equation and a...Ch. 4.5 - In Problems 3-8, a nonhomogeneous equation and a...Ch. 4.5 - Prob. 9ECh. 4.5 - Prob. 10ECh. 4.5 - Prob. 11ECh. 4.5 - In Problems 9-16 decide whether the method of...Ch. 4.5 - In Problems 9-16 decide whether the method of...Ch. 4.5 - Prob. 14ECh. 4.5 - Prob. 15ECh. 4.5 - Prob. 16ECh. 4.5 - Prob. 17ECh. 4.5 - In Problem 17-22, find a general solution to the...Ch. 4.5 - In Problems 17-22, find a general solution to the...Ch. 4.5 - In Problems 17-22, find a general solution to the...Ch. 4.5 - Prob. 21ECh. 4.5 - Prob. 22ECh. 4.5 - Prob. 23ECh. 4.5 - Prob. 24ECh. 4.5 - In Problems 2330, find the solution to the initial...Ch. 4.5 - In Problems 2330, find the solution to the initial...Ch. 4.5 - Prob. 27ECh. 4.5 - In Problems 2330, find the solution to the initial...Ch. 4.5 - Prob. 29ECh. 4.5 - Prob. 30ECh. 4.5 - Prob. 31ECh. 4.5 - In Problems 3136, determine the form of a...Ch. 4.5 - In Problems 3136, determine the form of a...Ch. 4.5 - Prob. 34ECh. 4.5 - In Problems 3136, determine the form of a...Ch. 4.5 - In Problems 31 36, determine the form of a...Ch. 4.5 - In Problems 3740, find a particular solution to...Ch. 4.5 - Prob. 38ECh. 4.5 - Prob. 39ECh. 4.5 - Prob. 40ECh. 4.5 - Discontinuous Forcing Term. In certain physical...Ch. 4.5 - Forced Vibrations. As discussed in Section 4.1, a...Ch. 4.5 - A massspring system is driven by a sinusoidal...Ch. 4.5 - Prob. 44ECh. 4.5 - Speed Bumps. Often bumps like the one depicted in...Ch. 4.5 - Prob. 46ECh. 4.5 - Prob. 47ECh. 4.5 - Prob. 48ECh. 4.6 - In Problems 18, find a general solution to the...Ch. 4.6 - In Problems 18, find a general solution to the...Ch. 4.6 - Prob. 3ECh. 4.6 - In Problems 18, find a general solution to the...Ch. 4.6 - In Problems 18, find a general solution to the...Ch. 4.6 - In Problems 18, find a general solution to the...Ch. 4.6 - In Problems 18, find a general solution to the...Ch. 4.6 - In Problems 18, find a general solution to the...Ch. 4.6 - Prob. 9ECh. 4.6 - In Problems 9 and 10, find a particular solution...Ch. 4.6 - In Problems 1118, find a general solution to the...Ch. 4.6 - In Problems 1118, find a general solution to the...Ch. 4.6 - Prob. 13ECh. 4.6 - In Problems 11-18, find a general solution to the...Ch. 4.6 - In Problems 11-18, find a general solution to the...Ch. 4.6 - In Problems 11-18, find a general solution to the...Ch. 4.6 - In Problems 11-18, find a general solution to the...Ch. 4.6 - In Problems 11-18, find a general solution to the...Ch. 4.6 - Prob. 19ECh. 4.6 - Use the method of variation of parameters to show...Ch. 4.6 - Prob. 21ECh. 4.6 - Prob. 22ECh. 4.6 - Prob. 23ECh. 4.6 - In Problems 22 through 25, use variation of...Ch. 4.6 - In Problems 22 through 25, use variation of...Ch. 4.7 - In Problems 1 through 4, use Theorem 5 to discuss...Ch. 4.7 - In Problems 1 through 4, use Theorem 5 to discuss...Ch. 4.7 - In Problems 1 through 4, use Theorem 5 to discuss...Ch. 4.7 - In Problems 1 through 4, use Theorem 5 to discuss...Ch. 4.7 - In Problems 5 through 8, determine whether Theorem...Ch. 4.7 - In Problems 5 through 8, determine whether Theorem...Ch. 4.7 - In Problems 5 through 8, determine whether Theorem...Ch. 4.7 - In Problems 5 through 8, determine whether Theorem...Ch. 4.7 - In Problems 9 through 14, find a general solution...Ch. 4.7 - Prob. 10ECh. 4.7 - Prob. 11ECh. 4.7 - Prob. 12ECh. 4.7 - In Problems 9 through 14, find a general solution...Ch. 4.7 - Prob. 14ECh. 4.7 - Prob. 15ECh. 4.7 - In Problems 15 through 18, find a general solution...Ch. 4.7 - In Problems 15 through 18, find a general solution...Ch. 4.7 - In Problems 15 through 18, find a general solution...Ch. 4.7 - Prob. 19ECh. 4.7 - Prob. 20ECh. 4.7 - Prob. 21ECh. 4.7 - In Problems 21 and 22, devise a modification of...Ch. 4.7 - Prob. 23ECh. 4.7 - Prob. 24ECh. 4.7 - Prob. 25ECh. 4.7 - Let y1(t)=t3 and y2(t)=|t3|. Are y1 and y2...Ch. 4.7 - Prob. 27ECh. 4.7 - Let y1(t)=t2 and y2(t)=2t|t|. Are y1 and y2...Ch. 4.7 - Prob. 29ECh. 4.7 - Prob. 30ECh. 4.7 - Prob. 31ECh. 4.7 - By completing the following steps, prove that the...Ch. 4.7 - Prob. 33ECh. 4.7 - Given that 1+t, 1+2t, and 1+3t2 are solutions to...Ch. 4.7 - Verify that the given functions y1 and y2 are...Ch. 4.7 - In Problems 37 through 39, find general solutions...Ch. 4.7 - Prob. 38ECh. 4.7 - In Problems 37 through 39, find general solutions...Ch. 4.7 - Prob. 40ECh. 4.7 - In Problems 41 through 44, a differential equation...Ch. 4.7 - In Problems 41 through 44, a differential equation...Ch. 4.7 - In Problems 41 through 44, a differential equation...Ch. 4.7 - In Problems 41 through 44, a differential equation...Ch. 4.7 - Find a particular solution to the nonhomogeneous...Ch. 4.7 - Find a particular solution to the nonhomogeneous...Ch. 4.7 - In quantum mechanics, the study of the Schrodinger...Ch. 4.7 - Prob. 48ECh. 4.7 - Prob. 49ECh. 4.7 - Prob. 50ECh. 4.7 - Prob. 51ECh. 4.7 - Prob. 52ECh. 4.8 - Show that if y(t) satisfies yty=0, then y(t)...Ch. 4.8 - Prob. 2ECh. 4.8 - Prob. 3ECh. 4.8 - Prob. 4ECh. 4.8 - a. Use the energy integral lemma to derive the...Ch. 4.8 - Prob. 6ECh. 4.8 - Prob. 7ECh. 4.8 - Use the energy integral Lemma to show that...Ch. 4.8 - Prob. 9ECh. 4.8 - Prob. 10ECh. 4.8 - Prob. 11ECh. 4.8 - Prob. 12ECh. 4.8 - Prob. 13ECh. 4.8 - Prob. 14ECh. 4.8 - Use the mass-spring oscillator analogy to decide...Ch. 4.8 - Prob. 16ECh. 4.8 - Prob. 17ECh. 4.9 - All problems refer to the mass-spring...Ch. 4.9 - Prob. 2ECh. 4.9 - All problems refer to the mass-spring...Ch. 4.9 - All problems refer to the mass-spring...Ch. 4.9 - Prob. 5ECh. 4.9 - Prob. 6ECh. 4.9 - Prob. 7ECh. 4.9 - Prob. 8ECh. 4.9 - A 2kg mass is attached to a spring with stiffness...Ch. 4.9 - A 1/4-kg mass is attached to a spring with...Ch. 4.9 - Prob. 11ECh. 4.9 - A 1/4-kg mass is attached to a spring with...Ch. 4.9 - Prob. 13ECh. 4.9 - For an underdamped system, verify that as b0 the...Ch. 4.9 - How can one deduce the value of the damping...Ch. 4.9 - Prob. 16ECh. 4.9 - Consider the equation for free mechanical...Ch. 4.9 - Consider the equation for free mechanical...Ch. 4.10 - Sketch the frequency response curve (13) for the...Ch. 4.10 - Prob. 2ECh. 4.10 - Determine the equation of the motion for an...Ch. 4.10 - Prob. 4ECh. 4.10 - An undamped system is governed by...Ch. 4.10 - Derive the formula for yp(t) given in 21...Ch. 4.10 - Shock absorbers in automobiles and aircraft can be...Ch. 4.10 - The response of an overdamped system to a constant...Ch. 4.10 - An 8-kg mass is attached to a spring hanging from...Ch. 4.10 - Show that the period of the simple harmonic motion...Ch. 4.10 - A mass weighing 8 lb is attached to a spring...Ch. 4.10 - A 2-kg mass is attached to a spring hanging from...Ch. 4.10 - A mass weighing 32lb is attached to a spring...Ch. 4.10 - An 8-kg mass is attached to a spring hanging from...Ch. 4.10 - An 8-kg mass is attached to a spring hanging from...Ch. 4.RP - In Problems 1-28, find a general solution to the...Ch. 4.RP - Prob. 2RPCh. 4.RP - Prob. 3RPCh. 4.RP - Prob. 4RPCh. 4.RP - Prob. 5RPCh. 4.RP - Prob. 6RPCh. 4.RP - Prob. 7RPCh. 4.RP - Prob. 8RPCh. 4.RP - In Problems 1 -28, find the general solution to...Ch. 4.RP - Prob. 10RPCh. 4.RP - Prob. 11RPCh. 4.RP - Prob. 12RPCh. 4.RP - Prob. 13RPCh. 4.RP - Prob. 14RPCh. 4.RP - Prob. 15RPCh. 4.RP - Prob. 16RPCh. 4.RP - Prob. 17RPCh. 4.RP - Prob. 18RPCh. 4.RP - Prob. 19RPCh. 4.RP - Prob. 20RPCh. 4.RP - Prob. 21RPCh. 4.RP - Prob. 22RPCh. 4.RP - Prob. 23RPCh. 4.RP - Prob. 24RPCh. 4.RP - Prob. 25RPCh. 4.RP - In Problems 1-28, find a general solution to the...Ch. 4.RP - Prob. 27RPCh. 4.RP - Prob. 28RPCh. 4.RP - Prob. 29RPCh. 4.RP - Prob. 30RPCh. 4.RP - Prob. 31RPCh. 4.RP - Prob. 32RPCh. 4.RP - Prob. 33RPCh. 4.RP - Prob. 34RPCh. 4.RP - Prob. 35RPCh. 4.RP - Prob. 36RPCh. 4.RP - Use the mass-spring oscillator analogy to decide...Ch. 4.RP - A 3kg mass is attached to a spring with stiffness...Ch. 4.RP - A 32lb weight is attached to a vertical spring,...
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- Determine whether each function is an injection and determine whether each is a surjection.arrow_forwardLet A = {a, b, c, d}, B = {a,b,c}, and C = {s, t, u,v}. Draw an arrow diagram of a function for each of the following descriptions. If no such function exists, briefly explain why. (a) A function f : AC whose range is the set C. (b) A function g: BC whose range is the set C. (c) A function g: BC that is injective. (d) A function j : A → C that is not bijective.arrow_forwardLet f:R->R be defined by f(x)=x^(3)+5.(a) Determine if f is injective. why?(b) Determine if f is surjective. why?(c) Based upon (a) and (b), is f bijective? why?arrow_forward
- 25-30. Normal and tangential components For the vector field F and curve C, complete the following: a. Determine the points (if any) along the curve C at which the vector field F is tangent to C. b. Determine the points (if any) along the curve C at which the vector field F is normal to C. c. Sketch C and a few representative vectors of F on C. 25. F = (2½³, 0); c = {(x, y); y − x² = 1} 26. F = x (23 - 212) ; C = {(x, y); y = x² = 1}) , 2 27. F(x, y); C = {(x, y): x² + y² = 4} 28. F = (y, x); C = {(x, y): x² + y² = 1} 29. F = (x, y); C = 30. F = (y, x); C = {(x, y): x = 1} {(x, y): x² + y² = 1}arrow_forward٣/١ B msl kd 180 Ka, Sin (1) I sin () sin(30) Sin (30) اذا ميريد شرح الكتب بس 0 بالفراغ 3) Cos (30) 0.866 4) Rotating 5) Synchronous speed, 120 x 50 G 5005 1000 s = 1000-950 Copper bosses 5kW Rotor input 5 0.05 : loo kw 6) 1 /0001 ined sove in peaper I need a detailed solution on paper please وه اذا ميريد شرح الكتب فقط ١٥٠ DC 7) rotor a ' (y+xlny + xe*)dx + (xsiny + xlnx + dy = 0. Q1// Find the solution of: ( 357arrow_forward۳/۱ R₂ = X2 2) slots per pole per phase 3/31 B. 180 msl Kas Sin (I) 1sin() sin(30) Sin (30) اذا ميريد شرح الكتب بس 0 بالفراغ 3) Cos (30): 0.866 4) Rotating 5) Synchronous speeds 120×50 looo G 1000-950 1000 Copper losses 5kw Rotor input 5 loo kw 0.05 6) 1 اذا ميريد شرح الكتب فقط look 7) rotor DC ined sove in peaper I need a detailed solution on paper please 0 64 Find the general solution of the following equations: QI//y(4)-16y= 0. Find the general solution of the following equations: Q2ll yll-4y/ +13y=esinx.arrow_forward
- R₂ = X2 2) slots per pole per phase = 3/31 B-180 60 msl kd Kas Sin () 2 I sin (6) sin(30) Sin (30) اذا مريد شرح الكتب بس 0 بالفراغ 3 Cos (30) 0.866 4) Rotating ined sove in peaper 5) Synchronous speed s 120×50 6 s = 1000-950 1000 Copper losses 5kw Rotor input 5 0.05 6) 1 loo kw اذا ميريد شرح الكتب فقط Look 7) rotov DC I need a detailed solution on paper please 0 64 Solve the following equations: 0 Q1// Find the solution of: ( y • with y(0) = 1. dx x²+y²arrow_forwardR₂ = X2 2) slots per pole per phase = 3/3 1 B-180-60 msl Ka Sin (1) Isin () sin(30) Sin (30) اذا ميريد شرح الكتب بس 0 بالفراغ 3) Cos (30) 0.866 4) Rotating 5) Synchronous speed, 120 x 50 s = 1000-950 1000 Copper losses 5kw Rotor input 5 6) 1 0.05 G 50105 loo kw اذا ميريد شرح الكتب فقط look 7) rotov DC ined sove in peaper I need a detailed solution on paper please 064 2- A hot ball (D=15 cm ) is cooled by forced air T.-30°C, the rate of heat transfer from the ball is 460.86 W. Take for the air -0.025 Wim °C and Nu=144.89, find the ball surface temperature a) 300 °C 16 b) 327 °C c) 376 °C d) None か = 750 01arrow_forwardAnswer questions 8.3.3 and 8.3.4 respectively 8.3.4 .WP An article in Medicine and Science in Sports and Exercise [“Electrostimulation Training Effects on the Physical Performance of Ice Hockey Players” (2005, Vol. 37, pp. 455–460)] considered the use of electromyostimulation (EMS) as a method to train healthy skeletal muscle. EMS sessions consisted of 30 contractions (4-second duration, 85 Hz) and were carried out three times per week for 3 weeks on 17 ice hockey players. The 10-meter skating performance test showed a standard deviation of 0.09 seconds. Construct a 95% confidence interval of the standard deviation of the skating performance test.arrow_forward
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