3 Questions
What is the Laplace transform of $e^{at}$?
$\frac{1}{s-a}$
State the formula for the line integral of a vector field $F$ along a curve $C$.
$\int_C F \cdot dr = \int_a^b F(r(t)) \cdot r'(t) dt$
What is the relationship between the Laplace transform and the Fourier transform?
The Laplace transform is a generalization of the Fourier transform.
Test your knowledge on Laplace transform, line integrals, and the relationship between Laplace and Fourier transforms. Questions include the Laplace transform of e^{at}, the formula for line integrals of a vector field along a curve, and the connection between Laplace and Fourier transforms.
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