Math Questions from Jan 14,2025

Browse the Math Q&A Archive for Jan 14,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Skriv som en potens Explain the steps used to apply l'Hôpital's Rule to a limit of the form Choose the correct answer. A. Take the limit of the quotient of the numerator and denominator. B. Take the limit of the derivative obtained using the Quotient Rule. C. Rewrite the quotient as a product, then take the limit of the derivative of the product. D. Take the limit of the quotient of the derivatives of the numerator and denominator. 2.16 Consider the quadratic pattern: ... 2.16.1 Calculate the value(s) of and . 2.16.2 If and , determine the term of the pattern. 2.16.3 Will there be negative terms in the pattern? Hallar la pendiente y el ángulo de inclinación para las siguientes rectas que se fo con los puntos: a) y SOL: b) y SOL: c) y SOL: d) y SOL: Simplify. The simplified expression is Una urna tiene ocho esferas rojas, 5 amarilla y siete verdes. Si se extrae una esfera al azar calcular la probabilidad de que: a) Sea roja: b) Sea verde: c) Sea amarilla: d) No sea roja: e) No sea verde: f) No sea amarilla: If , for which values of is 1.2.2 non real. undefined I In an orthonormal system, consider the family of curves with equations : where is a real parameter. a) For what values of is a line. b) Show that passes through a fixed point whose coordinates are to be determined . Consider the curve with equation . a) Construct and give its characteristic elements . b) Show that is tangent to at . c) Study according to the values of , the position of and . Among lines , is there another 3o font to (C) other than . of diameter . a) Determine in terms of the coordinates of . b) Determine the locus of . c) Construct the locus of point in the same system as . 7. Evaluate I In an orthonormal system, consider the family of curves with equations : where is a real parameter. a) For what values of is a line. b) Show that passes through a fixed point whose coordinates are to be determined . Consider the curve with equation . a) Construct and give its characteristic elements . b) Show that is tangent to at . c) Study according to the values of , the position of and . Among lines , is there another 3o font to (C) other than . of diameter . a) Determine in terms of the coordinates of . b) Determine the locus of . c) Construct the locus of point in the same system as .
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