Calcolo espressioni

Exercise type — Calcolo espressioni.

Featured in chapters

01 · 02 · 06 · 13 · 21 · 26 · 28 · 29 · 30 · 36 · 41 · 47

Linked atoms

41 linked atoms.

01 Numeri e operazioni fondamentali

• Expression with brackets
• Expression with powers
• Simplifying powers of fractions
• Tower of powers

02 Calcolo letterale

• Cube of a binomial
• Square of a binomial
• Sum times difference

06 Sistemi di equazioni lineari

• Square and inverse of a 2x2 matrix

13 Radicali ed equazioni irrazionali

• Expression with rationalisations

21 Ellisse

• Elements of 9x²+4y²=36

26 Funzione logaritmica

• Computing logarithms
• Converting ratios into decibels
• Logarithm using the properties

28 Circonferenza goniometrica e funzioni sin, cos, tan

• Conversion to radians
• From Cartesian to polar
• From polar to Cartesian
• Values of inverse functions
• Values using associated arcs

29 Formule di addizione, duplicazione, bisezione

• 3
• Linearising sin²α cos²α
• Sine of 105° and cosine of 165°
• Tangent of 22.5°

30 Formule parametriche, prostaferesi, Werner

• Expression with parametric formulae
• Product to sum with Werner

36 Numeri complessi

• Division by rationalising
• Fourth roots of -16
• Power with De Moivre
• Product of two complex numbers
• Sum and product of the roots
• Sum of the squares of the roots
• Trigonometric and exponential form

41 Continuità e discontinuità

• Cube root of 10 with Newton
• Newton on x³−3x+1
• Zero of x³−3x+1 with bisection

47 Distribuzioni di probabilità

• Coin versus die
• Computing phi(36)
• Entropy and Huffman coding
• Entropy of a binomial
• Mean and variance of a binomial
• Modular inverse with the extended Euclidean algorithm
• Modular power with Fermat