Calculating the derivative of a function of the form $e^{ax}\cos(bx)$ using the prouct rule.

Calculating the derivative a function of the form $ax^n \cos(bx)$ using the product rule.

Calculating the derivative of a function of the form $\sin(e^{ax})+b e^{\cos(cx)}$ using the chain rule.

Calculating the derivative of a function of the form $\ln(ax^n+\cos(bx+c))$ using the chain rule.

Calculating the derivative of a function of the form $e^{\sin(ax+b)+\cos(cx+d)}$ using the chain rule.

Calculating the derivative of a function of the form $e^{\cos(ax+b)}$ using the chain rule.

Calculating the derivative of a function of the form $\cos(a \ln(bx))$ using the chain rule.

Calculating the derivative of a function of the form $\cos(e^{ax}+bx^n)$ using the chain rule.

Calculating the derivative of a function of the form $\cos(ax^m+bx^n)$ using the chain rule.

Solving a differential equation of the form $\frac{dy}{dx}=a \cos(x) e^{-y}$ using separation of variables.

Solving a differential equation of the form $\frac{dy}{dx}=\frac{a \cos(x)}{y}$ using separation of variables.

Evaluación de la superposición vectorial de campos provenientes de cuatro cargas puntuales. Este es un problema de suma de vectores, magnitudes de vectores y productos escalares (puntos) con un poco de trigonometría.

Preguntas y actividades relativas a los principios de aplicación de la Ley de Gauss a sistemas físicos simples.

A question testing the application of the Cosine Rule when given two sides and an angle. In this question, the triangle is always obtuse and both of the given side lengths are adjacent to the given angle (which is the obtuse angle).

Two questions testing the application of the Cosine Rule when given two sides and an angle. In these questions, the triangle is always acute and both of the given side lengths are adjacent to the given angle.

Calculate the distance between two points along the surface of a sphere using the cosine rule of spherical trigonometry. Context is two places on the surface of the Earth, using latitude and longitude.

The question is randomised so that the numerical values for Latitude for A and B will be positive and different (10-25 and 40-70 degrees). As will the values for Longitude (5-25 and 50-75). The question statement specifies both points are North in latitude, but one East and one West longitude, This means that students need to deal with angles across the prime meridian, but not the equator.

Students first calculate the side of the spherical triangle in degrees, then in part b they convert the degrees to kilometers. Part a will be marked as correct if in the range true answer +-1degree, as long as the answer is given to 4 decimal places. This allows for students to make the mistake of rounding too much during the calculation steps.

sin horizontal shifted Working 1_11_16

Given the original formula the student enters the transformed formula

Given the original formula the student enters the transformed formula

Given Campaign budget and cost per acquisition, calculate the number of sales.

Given a budget and the number of views, calculate the cost per view. All numbers are randomised.

Given number of TARPs and total price, calculate the Cost per TARP.

Given the cost for 1, 1000, 10000 or 100000 impressions, what is the cost for 1000?

Given a total budget and the cost of each sale for three different scenarios, which scenario produces the most sales?

Given budget and number of sales, calculate the cost per acquisition (CPA)

n = 1, 1000, 10000, or 100000.

Given Cost per View, and View through rate, what is the cost for 1000 actual views?

Given a campaign budget and a number of impressions, calculate either the Cost per View, or the Cost per 1000 Views.

Given budget and cost per acquistion, how many sales were created?

Four sinusoidal graphs are given. Student should select the one which is sine and cosine.