Laplace Transform Practice Worksheet
A Grade 12 math worksheet on Laplace Transforms, covering definitions, properties, and applications to differential equations.
Includes
2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False
Standards
CCSS.MATH.CONTENT.HSA.CED.A.1CCSS.MATH.CONTENT.HSF.BF.B.3
Topics
Laplace TransformCalculusDifferential EquationsMathematicsGrade 12
7 sections · Free to use · Printable
Laplace Transform Practice Worksheet
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Date:
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Read each question carefully and provide detailed solutions. Show all your work for full credit.
1. Find the Laplace Transform of the function f(t) = 3e^(2t) - 5t + 2.
2. The Laplace Transform of a derivative f'(t) is given by sF(s) - .
3. The Laplace Transform of the integral ∫₀ᵗ f(τ)dτ is equal to .
4. What is the inverse Laplace Transform of F(s) = 1 / (s² + 4)?
a
cos(2t)
b
sin(2t)
c
(1/2)sin(2t)
d
(1/2)cos(2t)
5. Use the Laplace Transform to solve the initial value problem: y'' - y' - 2y = 0, with y(0) = 1 and y'(0) = 0.
6. The Laplace Transform is a linear operator.
T
True
F
False