PMT106 Continuous Internal Assessment PDF
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SOET – Department of Mechanical Engineering
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This document contains a question bank focused on Laplace and Fourier transforms, likely for an engineering course. The problems cover various aspects of these mathematical concepts.
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Continuous Internal Assessment – CIA - 2 SOET – Department of Mechanical Engineering Course Code –PMT106, Course Title-Transforms, Calculus of Variations & Reliability Question Bank 1. Evaluate Laplace transfor...
Continuous Internal Assessment – CIA - 2 SOET – Department of Mechanical Engineering Course Code –PMT106, Course Title-Transforms, Calculus of Variations & Reliability Question Bank 1. Evaluate Laplace transform of 𝑡 + 5 2. Evaluate Laplace transform of 4𝑠𝑖𝑛3𝑡 + 3𝑒 𝑡 3. Define Fourier sine transform (FST) pair. 4. State Linear property of Fourier transforms. 5. Define Linear transformation with one example. 6. Find Laplace transform of [tet sin4t] 𝑠+4 7. Find Inverse Laplace transform of 𝐹(𝑠) = 𝑙𝑜𝑔 [𝑠+8] 1−cost 8. Find Laplace transform of [ ] t 3𝑠+1 9. Find Inverse Laplace transform of 𝐹(𝑠) = [(𝑠−4)(𝑠+3)] u 2u Using finite Fourier transform solve given u(0,t)=0,u(4,t)=0 10. t x 2 and u(x,0)=2x where 0
