Calculus Quiz

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Questions and Answers

Which branch of mathematics studies continuous change?

Integral calculus
Differential calculus (correct)
Geometry
Algebra

What is the fundamental theorem of calculus?

The study of generalizations of arithmetic operations
The study of shape
The convergence of infinite sequences and infinite series to a well-defined limit
The accumulation of quantities and areas under or between curves (correct)

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

Isaac Newton
Gottfried Wilhelm Leibniz
Both Isaac Newton and Gottfried Wilhelm Leibniz (correct)
None of the above

What is the major focus of differential calculus?

<p>Instantaneous rates of change and the slopes of curves (B)</p> Signup and view all the answers

What do differential calculus and integral calculus have in common?

<p>Both branches make use of the fundamental notions of convergence of infinite sequences and infinite series to a well-defined limit (B)</p> Signup and view all the answers

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