Find moment of inertia and radius of gyration for a built-up beam made of two channels and two plates.

Find moment of inertia of a composite shape consisting of a rectangle and two triangles with respect to the x-axis. Shapes rest on the x-axis so the parallel axis theorem is not required.

Practice dividing polynomials using the long division method.

Completa el cuadrado dos veces para determinar el radio y el centro de un círculo.

Definite Intgerals

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Quiz covering basic arithmetic with complex numbers, solving a quadratic with complex solutions and converting to/from polar and rectangular forms.

Basic differentiation techniques, including evaluations, brackets/fractions, solving equation, and an application

More work on differentiation with trigonometric functions

Find centroidal moments of inertia and radius of gyration for a beam composed of  two angle sections forming a box beam.

Use a table of properties to find the Area Moment of inertia for simple shapes: rectangle, triangle, circle, semicircle, and quarter circle.

 The parallel axis theorem is not required for any of these shapes.  One situation requires subtracting a triangle from a rectangle however.

Distinguish between centroidal and non-centroidal moments of inertia.

Match the equivalence with the rule

Match the equivalence with the rule

To assess interpretation of a statistical software output and use corresponding equation to make prediction.

Differentiation question with customised feedback to catch some common errors.

Parametric differentiation question with customised feedback to catch some common errors.

Implicit differentiation question with customised feedback to catch some common errors.

Logarithmic differentiation question with customised feedback to catch some common errors.

Product rule differentiation question with customised feedback to catch some common errors.

Parametric differentiation question with customised feedback to catch some common errors.

Logarithmic differentiation question with customised feedback to catch some common errors.

A weighted coin with given $P(H),\;P(T)$ is tossed 3 times. Let $X$ be the random variable which denotes the longest string of consecutive heads that occur during these tosses. Find the Probability Mass Function (PMF), expectation and variance of $X$.

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Printing errors in the work produced by a particular film occur randomly at an average rate of p per page.

i.What is the probability that a one page document will contain x1 printing error(s)?

ii.If a n page document is printed, calculate the probability of having more than x2 errors. Assume a Poisson distribution.

Asks to determine whether or not 6 statements are propositions or not i.e. we can determine a truth value or not.

Questions about multiplying out brackets.

Calculate the Pearson correlation coefficient and conduct a hypothesis test.

Questions about volumes of shapes, and some surface areas.

Questions for calculating perimeters and areas of shapes.