Other Math Answers

Reduce the quadratic form 3x2 + 2y2 + 3z2 – 2xy – 2yz into a canonical

form using an orthogonal transformation.

1. Assess whether the following undirected graphs have an Eulerian and/or a Hamiltonian cycle. 

According to Shulman(1996), mathematical content knowledge and pedagogical content knowledge are integrated parts of the effective teaching and learning of mathematics. For you (the teacher) to facilitate the construction of mathematical concepts in learner's mind, you will need both pedagogical knowledge and mathematical knowledge, in the light of this information, briefly discuss what pedagogical content knowledge entails

Forest stand’s growth of uneven-aged forests is represented by the logarithm equation:

log N = log k – a D log e

where:

• N= number of trees per diameter class

• D = DBH class

• e = base of natural logarithm

• k = number of trees at smallest DBH recognized – and index of relative density

• a = slope of line – the rate at which the number of trees logarithmically diminishes between

successive diameter classes

Explain how the logarithmic formula above would be transformed to predict and determine the

number of trees in a given diameter class of uneven-aged forest stands.