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Calculus Fundamentals Quiz

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Questions and Answers

What are the two major branches of calculus?

Algebraic calculus and geometric calculus

Arithmetic calculus and convergence calculus

Differential calculus and integral calculus (correct)

Limit calculus and series calculus

Who independently developed infinitesimal calculus in the late 17th century?

Euclid and René Descartes

Leonhard Euler and Pierre de Fermat

Blaise Pascal and Carl Friedrich Gauss

Isaac Newton and Gottfried Wilhelm Leibniz (correct)

What does the word 'calculus' mean in Latin?

Counting tool

Small pebble (correct)

Arithmetic method

Large stone

What fundamental theorem relates differential calculus and integral calculus?

The fundamental theorem of calculus (D) Signup and view all the answers

What are the widespread uses of calculus today?

Science, engineering, and social science (B) Signup and view all the answers

What is a piecewise-defined function?

A function defined by multiple sub-functions, each applying to a different interval in the domain (B) Signup and view all the answers

What is a property holding piecewise for a function?

A property that holds on different intervals of the domain (D) Signup and view all the answers

How are piecewise functions defined using common functional notation?

The body of the function is an array of functions and associated subdomains (A) Signup and view all the answers

What is required for the subdomains of a piecewise function to be considered 'piecewise'?

They are usually required to be intervals, covering the whole domain (A) Signup and view all the answers

For bounded intervals, what is the requirement for the number of subdomains in a piecewise function?

The number of subdomains is required to be finite (D) Signup and view all the answers