Don't use chat gpt It Chatgpt means downvote please The values of mass m, spring constant k, dashpot resistance c, and force f(t) are given for a mass-spring-dashpotsystem with external forcing function. Solve the initial value problem and construct the graph of the positionfunction x(t).mx" + cx' + kx = f(t), x(0)=x'(0) = 0m = 1, k=64, c = 16; f(t) = 9t if 0 ≤t≤8, f(t) = 0 if t> 8Solve the initial value problem.x(t)=Construct the graph of x(t). Choose the correct graph below.○ A.2-Ax2B.Ax✓Q✓

Let's rewrite the external forcing function f(t) using the Heaviside step function. The given…

Answered: The values of mass m, spring constant…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Find the maximum and minimum values of the function f(x, y) = e subject to z + y* = 54 Maximum value: (3) Minimum value: (3) Enter DNE if the value does not exist.
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Q2) The governing equation for a projectile shot vertically upward is d'y = -mg – C\V\V y(0) = 0 and y'(0) = V. m- where m is the mass of the projectile (kg), y(t) is the height (m), g is the acceleration of gravity (9.80665 m/s2), C is an aerodynamic drag parameter, and V-dyidt is the velocity. For m- 10.0kg, C-O.IN-s/m², and Ve - 500.0 m/s, calculate (a) the maximum height attained by the projectile, (b) the time required to reach the maximum height, and (c) the time required to return to the original elevation. In solving the problem, you should clearly explain and justify the following: 1. Choose a numerical method to solve this problem. State what method you are using and explain how it was derived and the error associated with the method. 2. Do you expect any issues with the convergence of your method?
The curve crosses the x axis at A(2, 0) and at the point B(10, 0). The curve has a minimum at M(3, −6). YA H A(2,0) M (3,-6) y = f(x) B (10,0) X a) Write down the co-ordinate of A, B and M under the tranformation y = f(2x). A= ( ), B = ( ), M = ( b) Write down the co-ordinates of the A, B and M under the transformation y = -2f(x) + 3. A = ( " ), B = ( " ), M=( " ) )
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A fund starts with a zero balance at time zero. The fund accumulates with a varying force of interestδt=2t/(t²+1)(t>0).A deposit of GHS100,000 is made at time 2.Calculate the number of years from the time of deposit for the fund to double.
5P + P? and b) Find the demand function Q =f (P) if elasticity of demand is Q = 500 when P = 10 c) Write down the first order and second order conditions for maximum and function y = f(x1, x2, X3,.... minimum of a Xn).

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