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What are domain and range? Determine the domain and range Domain A function’s domain refers to the set of all potential input values (x-values) for which...
Polynomial synthetic division Synthetic division is a simplified and fast method for dividing a polynomial by a linear divisor of the type x−c. It eliminates the...
Statement (Cauchy-Schwarz Inequality): For any two vectors 𝑢 = ( 𝑢 _1 , 𝑢_ 2 , … , 𝑢_ 𝑛 ) and 𝑣 = ( 𝑣...
L’Hopital’s Rule deals with indeterminate form situations where direct substitution of values into a limit expression does not provide a clear answer. What is L’Hopital’s Rule?...
Finding the real roots of polynomials is one of the most difficult problems to solve, especially if modern numerical methods are not used. While the Rational...
De moivre’s theorem offers an effective method for raising complex numbers to any integer or fractional power. Let’s look at the proof for many cases: When...
State Rolle’s Theorem is a fundamental result in calculus that holds for differentiable functions. It asserts that if certain requirements are met, there must be at...
Trigonometric Rules is a fundamental discipline of mathematics that studies the relationships between the sides and angles of triangles, specifically right-angled triangles. These relationships are expressed...
Derivative using first principle How do I find the derivative using the first principle of sinx ? To find the derivative of sin(x) using the first...
Cartesian to polar equations: The Cartesian coordinate system and the Polar coordinate system are two different ways of representing points in a plane. In this blog,...
