PYQs Based Test - 13 : Laplace Transforms

Topics Covered

Sample Questions from this Test

1. The Laplace transform of sin h (at) is
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2. The function f(t) satisfies the differential equation $\frac{d^{2}f}{d{t}^2}+f=0$ and the auxiliary conditions, $f\left(0\right)=0,\frac{df}{dt}\left(0\right)=4$ . The Laplace transform of f(t) is given by
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3. F(s) is the Laplace transform of the function
   
   f(t) = 2t²e${}^{-t}$
   
   F (1) is ________ (correct to two decimal places).
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Test Instructions

• The test contains 10 questions and a total of 16 marks.
• You will have 180 minutes to complete the test. The timer cannot be paused once started.
• Negative marking: 0.25 mark(s) deducted per wrong answer.
• Use the question palette to mark questions for review and navigate freely.
• Detailed solutions and analytics are available immediately after submission.
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