Consider the following initial value problem:y" + 9y = 38(t – T); y(0) = 0, 3'(0) = 0a) Find the solution y(t).NOTE: Denote the Heaviside function by uc(t) where uc (t) = 1 if t > c and 0 otherwise.%3DIndicate separately the value of c.y(t) =where c =b) Use a graphing utility to plot the solution y(t).

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Answered: Consider the following initial value…

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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c) A skydiver's vertical velocity is modelled by the funetion v(t) = -9.8t where v(t) is her vertical speed in ms-1 and t is time in seconds since she jumped out of an aeroplane. Osts 10. The aeroplane has an altitude of 3900 m at the instant the skydiver jumps out. i) Find a specific function for s(t), the altitude of the skydiver at time t. ii) Write down the units for s(t). iii) Hence, find the altitude of the skydiver at 1, 5, and 10 seconds.
d²y (b) Find the curve, y that satisfies the conditions dx2 6x; the line y = 5 – 3x is tangent to the curve at the point where x= 1.
zwoled nwork dopas A. x-3 choupe D. x-6 B. X-4 C. x-5 10. The function y = f(x) is shown where a 0 and c> 0, then a potential equation might be: A. y=-(x-a)(x-b)(x-c)² B. y=(x-a)(x-b)(x − c)² C. y=-(x-a)(x-b)²(x − c) the a D. y=(x-a)(x-b)²(x-c) Record your answer in the numerical response section on your answer sheet.
1. The position function of a particle is given by s(t) = t³ – 6t²+9t – 60, t > 0 is given in seconds. a. Where is the particle located at the second instant it changes direction? b. What is the distance travelled by the particle after 5 seconds?
Construction and building inspectors ensure that construction meets local and national buillding codes and ordinances, zoning regulations, and contract specifications. They spend considerable time inspecting worksites, alone or as part of a team. Most work full time during regular business hours. Many states and local jurisdictions require some type of license or certification. The median annual wage was $56,040 in May 2014. SOURCE: Bureau of Labor and Statistics, U.S. Department of Labor, Occupational Outlook Handbook, 2016 - 2017 Edition E, Construction and Building Inspectors A wheelchalir ramp with a length of 614 Inches has a horizontal distance of 610 Inches. What is the ramp's vertical distance (height)? inches State your response to the nearest 0. 1 Construction laws are very specific when it comes to access ramps for the disabled. Every vertical rise of 1 inch requires a horizontal run of at least 12 inches. Does the ramp above satisfy the requirement? O Yes O No
Answer either True or False in the boxes provided. Make sure your spelling of True and False is exactly as stipulated in this instruction. Note: C1 ad C2 are arbitrary constants. y1(t) = et and y2(t) = e' are independent solutions of y"-y = 0. The complementary function of y" – y = 2et is y3(t) = Cie-t+ C2e. Y4(t) = Fet 1.3t is a particular solution of y"- y = 2e3t. The general solution of y" – y = 2et is y5(t) = Cje=t + C2et +e.
Find an equation of the line tangent to the graph of G(x)=3e−6x at the point (0,3). y=

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