order of operations

order of operations

order of operations

order of operations

order of operations

Questions on integration using various methods such as parts, substitution, trig identities and partial fractions.

Inequality involving a single absolute value, question solution uses the piecewise nature of the absolute value function.

Is this number divisible by 5? Half the time the number is, half the time it isn't. Steps give the divisibility test and a way to determine the number of fives.

This question summarizes the definitions of surjective and injective, and applies them to prove the existance of an inverse.

Counting the number of significant figures and rounding integers and decimals.

Solving inequalities that involve a quadratic and where the right-hand side is 0.

Solving inequalities that involve a quadratic and where the right-hand side is not 0. 

Inequality involving a single absolute value, question solution uses the piecewise nature of the absolute value function.

Find roots and the area under a parabola

Dada una función de oráculo que dará salida a su valor dada una entrada: primero estima la derivada y luego calcula su forma.

Given an oracle function that will output its value given an input: first estimate the derivative, and second calculate its shape.

Given an oracle function that will output its value given an input: first estimate the derivative, and second calculate its shape.

Esta es la pregunta para la semana 4 del curso MA100 en el LSE. Examina el material de los capítulos 7 y 8. A continuación se describe cómo se definió un polinomio en la pregunta. Esto puede ser útil para cualquier persona que necesite editar esta pregunta.

Para las partes a a c, utilizamos un polinomio definido como m * (x ^ 4 - 2a ^ 2 x ^ 2 + a ^ 4 + b), donde las variables "a" y "b" se seleccionan al azar de un conjunto de tamaño reajustable, y la variable $ m $ se elige aleatoriamente del conjunto {+1, -1}. Podemos ver fácilmente que este polinomio tiene puntos estacionarios en -a, 0 y a. Introdujimos la variable "m" para que estos puntos estacionarios no siempre tuvieran la misma clasificación. La variable "b" es siempre positiva, y esto asegura que nuestro polinomio no cruce el eje x. Los primeros y segundos derivados; puntos estacionarios; la evaluación de la segunda derivada en los puntos estacionarios; la clasificación de los puntos estacionarios; y las intersecciones de los ejes se pueden expresar fácilmente en términos de las variables "a", "b" y "m". En efecto,

Given three vectors, arrange them in a tip to tail arrangement using geogebra, then estimate the magnitude and direction of their resultant.

A graphical introduction to the concept of even functions a symmery

Practice with adding, subtracting and dividing basic algebraic fractions

A graphical introduction to the concept of even functions a symmery

Find roots and the area under a parabola

Area of circle

Quiz to assess matrix addition, subtraction, multiplication and multiplication by scalar, determinants and inverses, solving a system of simultaneous equations.

Find the equation of a straight line which has a given gradient $m$ and passes through the given point $(a,b)$.

Find $\displaystyle \int \frac{c}{\sqrt{a-bx^2}}\;dx$. Solution involves the inverse trigonometric function $\arcsin$.

Find $\displaystyle \int \frac{c}{\sqrt{a-bx^2}}\;dx$. Solution involves the inverse trigonometric function $\arcsin$.

Find $\displaystyle \int \sin(x)(a+ b\cos(x))^{m}\;dx$

Find $\displaystyle \int \frac{2ax + b}{ax ^ 2 + bx + c}\;dx$