Math Answers

Let the function , defined by

f(x)= 1/x+3 ; x∈ [3,∞[

Check whether f is uniformly continuous or not on the interval of definition

If the partition P2 is a refinement of the partition P1 of [a,b], then L(P1,f)≤L(P2,f) and U(P2,f)≤U(P1,f). Verify this result for the function f(x)= 4 cosx , defined over [0, π/2] and for the partition P1= { 0, π/6, π/2} and P2= {0,π/6,π/3,π/2}

What does creating opportunities for reflective thought mean?

internet on https://www.education.gov.za/Home.aspx

1.1 Counting

(a) Where in the world do we find some early evidence that people counted? (1)

(b) Approximately to what year does this evidence date back? (1)

(c) Give detail of how counting was done in the example which you chose. (2)

(c) Where in CAPS is this type of counting covered as a topic? (1)

Development of spatial sense: 2-Dimensional shapes and 3-Dimensional

objects.

25

4.1 Describe van Hiele Level 1 (analysis), Level 2 (informal deduction) and Level 3

(deduction). Demonstrate the difference by using a scalene, isosceles and

equilateral triangle as an example to explain learner thinking at the three

different levels.

Level 1: Analysis (1) How learner thinks about the triangles

at Level 1: (3)

Level 2: Informal deduction

(1)

How learner thinks about the triangles

at Level 2: (3)

Level 3: Deduction (1) How learner thinks about the triangles

at Level 3: (3)

Sketch of scalene, isosceles and equilateral triangles (3)

In the recent COVID-19 pandemic, a local precinct observed that of the 75 people who voted, 25 identified as republican, 30 were democrat, and 20 were “other”. Is this similar to pre-pandemic voting based on political party affiliations? At that same precinct, pre-pandemic voting based on political party affiliation was: 35%republican, 44%democrats, and 21% “other”. Enter in the 75 data points and expected values into SPSS to conduct the appropriate statistical test.