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This is a comprehensive calculus test assessing skills in analyzing and working with equations of conic sections. It begins with four questions on circles, requiring students to graph circles from their equations, identify the centers and radii. This tests the...

Secondary school / Mathematics (STEM) / Calculus

This comprehensive test covers a wide range of mathematical concepts and skills appropriate for 7th grade. It begins by assessing understanding of set theory and set notation - identifying well-defined sets, writing sets in roster and set-builder form, determi...

Secondary school / Mathematics (STEM) / Grade 7 Mathematics

This test focuses on assessing core skills in working with sequences and series - important foundations for higher math and science courses. It thoroughly examines student comprehension of both arithmetic and geometric sequences. The arithmetic sequence questi...

Secondary school / Mathematics (STEM) / Grade 10 Mathematics

This lecture note provides a concise, well-organized reference on key limit laws and theorems in calculus. It states precise mathematical expressions for evaluating limits of sums, differences, products, quotients, powers and roots of functions in terms of lim...

Secondary school / Mathematics (STEM) / Calculus

This lecture notes provide a clear, step-by-step introduction to the conceptual and notational foundations of limits in calculus. It begins by formally defining what a limit is, stating precisely the behavior of a function as its input approaches a given numbe...

Secondary school / Geography / Calculus

This lecture note clearly explains the conceptual distinction between evaluating one-sided and two-sided limits of a function. It starts by formally defining left-hand and right-hand limits - where the function input approaches the limit point from lower or hi...

Secondary school / Geography / Calculus

The lecture note covers the topic of finding limits of polynomial, rational, and radical functions. It starts by explaining how to find limits of polynomial functions by using properties of limits to break the polynomial into individual terms, finding the limi...

Secondary school / Geography / Calculus