Other Math Answers

A particle moves so that its position vector ˜ r at time t is ˜ r = ˜ a cos wt + ˜ b sin wt, where w is a constant and ˜ a and ˜ b are constant vectors. Show that (a) ˜ r · ˙ ˜ r is independent of t, (b) the acceleration is everywhere towards the origin and proportional to ˜ r

Not every Mathematics teacher believes in the constructivist approach to learning Mathematics. A simple argument is more or less as follows, “There is not enough time for learners to discover everything. Basic facts and ideas can be taught more effectively through well-planned and meaningful explanations. It is not necessary for learners to re-discover the wheel. ”

How would you respond to someone with this view regarding learning and teaching mathematics? Motivate your view by using realistic examples.

Q1. Differentiate y = 12x⁵ + 3x⁴ + 7x³ + x² 

Q2. Find the distance between the points (2, 3) and (0, 6)

Q3. The compound interest and simple interest on a certain sum for 2 years is N1230 and N1200 respectively. The rate of interest is same for both compound interest and simple interest and it is compounded annually. What is the principal?

In decision theory, we call payoffs resulting from each possible outcome and alternatives as?

Part of a machine moves with a velocity given by the expression: 𝑣=7𝑡2+0.8𝑡 Where; v = velocity in mm/s t = time in seconds i. Calculate the displacement over the first 5 seconds of motion.

1. Teaching for understanding is crucial in teaching mathematics, more specially in 

the technological era. Using relevant examples, references discuss how 

technology can be used to promote 

(a) procedural fluency [10]

(b) Conceptual understanding

Alex has $10000 in his bank. He decides he would deposit a fixed amount each month. He deposits$500 per month starting the first month

Write down the equation using the given information

(b) Orders for clothing to cater for the coming festive season must be placed a month earlier. The cost per unit for a new fashion dress is RM30 while the anticipated selling price is RM60. Dresses that are not sold during the festive season can be sold for RM25 to a discount store. Demand is projected to be 60, 70, or 80 units. There is 50% chance that the demand will be 60 units, a 30% chance that the demand is 70 units, and a 20% chance that the demand will be 80 units.

(I) Draw a payoff table.

If a 5.5 pound object falls 15 feet how much does it weigh on impact