Mate ejercicios de factorización por binomio - 2º
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The document contains a series of math problems asking to factorize various expressions. The expressions include variables, numbers, and operations like addition, subtraction, multiplication and exponents. They range in complexity from single term expressions to multi-term expressions involving multiple variables. The goal of the problems is to practice factorizing algebraic expressions.
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This document provides formulas and properties related to calculus and trigonometry. It includes:
1) Derivative formulas for common functions like polynomials, logarithms, trigonometric functions, and hyperbolic functions.
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2) y'' + y = xcosx - cosx with solution Y = C1cosx + C2sinx + (1/4)xcosx - (1/2)xsinx + (1/4)x^2sinx
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6) Factoring a trinomial that is a perfect square plus or minus a term.
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EJERCICIOS PARA EL EXAMEN
This document provides examples of factorizing polynomial expressions in various forms:
1) Factoring the difference of two binomials.
2) Factoring the square of a binomial expression.
3) Factoring a trinomial into two binomial factors.
4) Factoring a perfect square trinomial.
5) Factoring the difference of squares.
6) Factoring a trinomial that is a perfect square by addition and subtraction.
7) Factoring quadratic trinomials in the form x^2 + bx + c.
8) Factoring a perfect cube of binomials.
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El documento presenta 10 problemas de lógica y razonamiento espacial que involucran personas sentadas alrededor de mesas circulares y cuadradas. Cada problema describe la posición relativa de las personas sentadas y hace una pregunta sobre quién está sentado junto o frente a quién.
Rm tarea - 2º
El documento presenta tres acertijos sobre la ubicación de personas sentadas alrededor de mesas. El primer acertijo describe a cuatro personas sentadas alrededor de una mesa cuadrada y pregunta quién está frente a S. El segundo acertijo describe a seis amigas sentadas alrededor de una mesa redonda y pregunta junto a quiénes está sentada Fabiola. El tercer acertijo describe a tres parejas sentadas alrededor de una mesa circular y pregunta cuál es el novio de Dora.
Mate tarea - 5º
Este documento proporciona las coordenadas de 4 triángulos y solicita calcular el área, perímetro y punto medio de cada uno.
Práctica calificada mate - 2º
Este documento presenta una serie de problemas matemáticos que involucran puntos colineales sobre una recta. Se piden calcular distancias entre puntos, puntos medios y expresiones algebraicas dadas las distancias entre los puntos dados en cada problema.
Práctica calificada física - 5º
Este documento presenta varios problemas de física relacionados con el cálculo del trabajo realizado por diferentes fuerzas. Los problemas involucran el cálculo del trabajo realizado al mover bloques de diferentes masas sobre superficies horizontales y verticales, así como el trabajo realizado por la gravedad al dejar caer una piedra desde la azotea de un edificio.
Práctica calificada rm - 3º
Este documento contiene 10 problemas matemáticos que involucran porcentajes, fracciones, proporciones y operaciones básicas. Los problemas incluyen calcular porcentajes de cantidades dadas, determinar números desconocidos basados en relaciones de porcentajes, y realizar cálculos con varias etapas.
Práctica calificada física - 4º
Este documento presenta varios problemas de física relacionados con el cálculo del trabajo realizado por diferentes fuerzas. Los problemas incluyen calcular el trabajo realizado por una fuerza al mover cajas y bloques sobre superficies horizontales y verticales, así como el trabajo realizado por el peso de una piedra al caer desde una altura y el trabajo neto de varias fuerzas al desplazar un bloque.
Rm tarea - 1º
El documento presenta tres acertijos sobre la ubicación de personas sentadas alrededor de mesas. El primer acertijo describe a cuatro personas sentadas alrededor de una mesa cuadrada y pregunta quién está frente a S. El segundo acertijo describe a seis amigas sentadas alrededor de una mesa redonda y pregunta junto a quiénes está sentada Fabiola. El tercer acertijo describe a tres parejas sentadas alrededor de una mesa circular y pregunta cuál es el novio de Dora.
Tarea física
El documento presenta cuatro problemas que involucran calcular la potencia realizada por bloques de diferentes masas que se desplazan bajo la acción de fuerzas. Se proporcionan detalles como las fuerzas aplicadas, la masa del bloque, la distancia y tiempo de desplazamiento o la velocidad para que se pueda determinar la potencia en cada caso.
Mate tarea - 4º
El documento demuestra la igualdad cos(a)sen(a)+sen(a)cos(a)=sen(2a) mediante simplificación de términos trigonométricos. Luego, encuentra el valor de x si sen(x)/cos(x)+cos(x)sen(x)=tg(x) y sen(a)/cos(a)+cos(a)sen(a)=1+tan(a)^2.
Identidades trigonométricas 4º
Las identidades trigonométricas son igualdades entre funciones trigonométricas que son verdaderas para cualquier valor de la variable. Este documento presenta varias identidades trigonométricas, incluidas identidades recíprocas, de división y pitagóricas, y resuelve algunas expresiones utilizando estas identidades.
Rm tarea - 4º
La progresión aritmética tiene términos que aumentan en 6 unidades cada vez. El cuadragésimo quinto término sería 540. Entre 32 y 447 hay 89 múltiplos de 5. La progresión aritmética tiene una razón de 15, por lo que a62 es 902 y a30 es 420, por lo que la respuesta es 902 - 420 = 482.
Ejercicios de progresiones aritméticas 4º
El documento presenta varios problemas relacionados con progresiones aritméticas. Incluye ejercicios para calcular términos específicos, determinar la cantidad de términos, encontrar diferencias entre términos, y sumar valores de una progresión. El documento proporciona información sobre progresiones aritméticas para que el lector pueda resolver los problemas planteados.
Asuntos comerciales 3º
El documento presenta diferentes fórmulas y ejemplos para calcular ganancias, pérdidas, descuentos y aumentos sucesivos en situaciones comerciales. Incluye fórmulas para calcular el precio de venta cuando hay ganancia o pérdida, así como fórmulas y ejemplos para calcular descuentos y aumentos únicos equivalentes a descuentos y aumentos sucesivos. Finalmente, proporciona varios ejemplos numéricos de cálculos comerciales que involucran ganancias, pérdidas, costos y precios de
Rm tarea - 3º
Este documento contiene tres problemas de porcentajes. El primero pregunta sobre dos incrementos sucesivos del 20% y 30%. El segundo pregunta sobre un artículo vendido en $270 después de ganar un 20% sobre el precio de costo. El tercero pregunta por el precio de venta de un producto que costó S/.80 después de perder un 30% sobre el precio de costo.
Mate tarea - 2º
El documento contiene 4 problemas matemáticos sobre ángulos, sus complementos y suplementos. El primero pregunta por el complemento de un ángulo que es 8/12 de un ángulo llano. El segundo pide hallar la medida de un ángulo si la suma de su complemento y suplemento es 140°. El tercero solicita la mitad de la tercera parte del complemento del suplemento de un ángulo de 102°. Y el último enuncia que un ángulo es la tercera parte de su suplemento y pide calcular el complemento.
Ordenamiento circular 1º
Se presentan 8 ejemplos de problemas de distribución de asientos alrededor de mesas circulares simétricas, donde se proporcionan ciertas condiciones sobre la ubicación de las personas y se pide identificar la ubicación de alguna en particular.
Punto medios y área del triángulo 5º
El documento proporciona instrucciones para calcular las coordenadas del punto medio de segmentos y áreas de triángulos dados los puntos vértices. Incluye fórmulas para hallar coordenadas de puntos medios, distancias entre puntos, y áreas de triángulos usando coordenadas de vértices. Contiene numerosos ejercicios para practicar estos cálculos.
Potencia mecánica 4º
Este documento presenta la definición de potencia como la rapidez para realizar trabajo mecánico y proporciona varios ejemplos de cálculos de potencia utilizando la fórmula potencia = trabajo / tiempo. Se piden cálculos de la potencia desarrollada por fuerzas que mueven bloques y cuerpos durante diferentes períodos de tiempo.
Punto medios y área del triángulo 5º
El documento explica cómo calcular las coordenadas del punto medio de un segmento utilizando la fórmula promedio de las coordenadas de los extremos del segmento. Luego, proporciona varios ejemplos numéricos para practicar el cálculo de las coordenadas del punto medio de diferentes segmentos dados sus extremos.
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Mate ejercicios de factorización por binomio - 2º
- 3. Factoriza: xa + xb 25x2 – 49 m2 + 6m + 9 ab – ay + bx – xy x7y4 – x5y6 mx2 + xy – xz – yz x5 – 4x3 – x2 + 4
- 4. Factoriza: (x – 2)y – (x – 2)z x(x + 5) + y(x + 5) – z(x + 5) x4(2a – 5b) + x(2a – 5b) – (2a – 5b) a(p + q) + b(p + q) + c(p + q) mx + m2 + xy + my ax + x2 + ab + bx ax + bx + cx + ay + by + cy
- 5. Factoriza: m2 – mn + mp – np m3 + m2 + m + 1 m2 + mn + mp + np – m – n + x(m +n) x(3a – 2b) – 3a + 2b (c + 1)(ab + 1) + (a + b)(c + 1) 3b(2x + 3) + 2x + 3
- 6. Factoriza: x2 + y2 – 5y(x2 + y2) 1 – x – 2y(1 – x) x3 – x2 + x – 1 5y5 – 15y2z + y3 – 3z a5 – a4 + a – 1 3xy – 3xz + 3x – y + z – 1 2a2x + 2ax + 2x – a2 – a – 1
- 7. Factoriza: x2y2 + x2y + xy2 + xy x3y2 + x2y + x2y3 + xy2 x4y – x2y3 – x3y2 + xy4 x3 + 2x2y + 4xy2 + 8y3 a2 – abc – ac – ab + b2c + bc (x2 + 2)2 – (2x - 1)2 (x2 – y2)2 – (y2 – z2)2
- 9. Factoriza: x3 + x2 – 9x – 9 (x + 1)4 – 5(x + 1)2 + 4 (x2 + 5)2 + 13x(x2 + 5) + 42x2 x5y4 + x5y2 + x3y4 + x3y2 (x – 3)(x – 2)(x – 1) + (x – 1)(x – 2) – (x – 1) x2 – (ac – b)x – abc
- 10. Factoriza: a(x – 1) – b(1 – x) + cx – c 8x2 + 9ac – 6ax – 12cx a3 – ab2 + a2b – b3 + a2 – b2 16x2n + 1 + 12x3n – 20xn–1 (x + 3)(x + 2)(x + 1) + (x + 2)(x + 1) + (x + 1) (x + 2)(x + 3)(x + 4) + (x + 3)(x + 4) – (x + 4)
- 11. Factoriza: 8x2 – 22x + 15 7x2 + 29x – 36 25x4 – 109x2 + 36 4x4 – 37x2 + 9 6x4y3 – x3y4 – 15x2y5 16m8 – 17m4n4 + n8
- 12. Factoriza: 8x6 + 215x3 – 27 (x2 – 5x + 3)2 + 4x2 – 20x + 15 (x–3)2 – 2(x–3)(y–2) – 3(y–2)2 22m+5 – 3.2m+2 – 35 32m+2 – 3m+1 – 30 x2m+4 – 5xm+4 – 50x4
- 13. Factoriza: x5 + x3 - 2x2 - 2 x2yz + x2yc + xy2z + cxy2 x4 - 5x2y2 + 4y4 x4y3 - 2x3y4 + x2y5 8x2 - 22x + 15 x4 - 6x2 - 27 x2 + 5xy + 6y2 + x + 5y – 6
- 14. ACTIVIDAD Nº 3
- 15. Factoriza: 3(x – a)2 – 4(x – a) + 1 5a9b3 + 15a6b7 a3 + a2b + ab2 + b3 8x3 + 27 (x + 1)4 – (x – 1)4 x5 + x2 – x – 1
- 16. Factoriza: a(1 – b2) + b(1 – a2) a(b2 + c2) + b(c2 + a2) wy + wz – wyz – xy – xz + xyz 49x2 – 14x + 1 x2 – 6x – 7 x2 – 21x + 20 x2 + 8x + 15
- 17. Factoriza: 12x3y2z3 – 15x2yz3 – 6x2y3z4 + 9x3y5z3 7x2a – 14xa + 3 + 7xa 3m(a – b + c) – 2n(b – a – c) 2x2 + 2cx – 3bx – 3bc x3 + x2 + x + 1
- 18. Factoriza: a3b4c2 + a2b5c2 + a3b3c3 + a2b4c3 64x12y3 – 68x8y7 + 4x4y11 x5 – 2x4 –x + 2 x3y – 2x2y + 3xy2 x2yz + 2xy2z + 3xyz2 6 5 4 3
- 19. Factoriza: x2 – 81 25 – m2 9x2 – 1 16 – 9a2 (x - 1)2 – 49 (a – b)2 – 4 16x2 – 81y2