Podcast
Questions and Answers
Which branch of calculus concerns instantaneous rates of change and the slopes of curves?
Which branch of calculus concerns instantaneous rates of change and the slopes of curves?
- Differential calculus (correct)
- Integral calculus
- Convergence calculus
- Infinitesimal calculus
Which branch of calculus concerns accumulation of quantities and areas under or between curves?
Which branch of calculus concerns accumulation of quantities and areas under or between curves?
- Integral calculus (correct)
- Convergence calculus
- Differential calculus
- Infinitesimal calculus
What is the fundamental theorem of calculus?
What is the fundamental theorem of calculus?
- The convergence of infinite sequences and infinite series to a well-defined limit
- The relationship between differential calculus and integral calculus (correct)
- The concept of limits in calculus
- The study of shape and generalizations of arithmetic operations
Who independently developed infinitesimal calculus in the late 17th century?
Who independently developed infinitesimal calculus in the late 17th century?
What are the widespread uses of calculus today?
What are the widespread uses of calculus today?
Which two major branches of calculus are related to each other by the fundamental theorem of calculus?
Which two major branches of calculus are related to each other by the fundamental theorem of calculus?
What is the study of shape in mathematics called?
What is the study of shape in mathematics called?
Who developed infinitesimal calculus independently in the late 17th century?
Who developed infinitesimal calculus independently in the late 17th century?
What are the fundamental notions used in calculus?
What are the fundamental notions used in calculus?
What are the major uses of calculus today?
What are the major uses of calculus today?
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