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Type of mathematics that converts problem of calculus to algebraic problems is known as

  • A.dynamic calculus
  • B.static calculus
  • C.operational calculus
  • D.theoretical calculus

Answer: C

Operational calculus replaces the operations of calculus with algebraic ones. The Laplace transform is its best-known tool: differentiation in \( t \) becomes multiplication by \( s \).

\[ \mathcal{L}\{f'(t)\} = sF(s) - f(0) \]

A differential equation therefore turns into an algebraic one, which is solved and then transformed back.

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