Other Math Answers

3. (a) The sales of a small factory since 2008 are as follows: (6)

Year Sales

(in ` lakhs)

2008 8

2009 10

2010 9

2011 11

2012 11

2013 12

Using 2008 as the zero year, find the least-square trend-line equation.

2(b) Write the three-dimensional Gaussian model dispersion for the atmospheric pollution

problem. Modify the model under the following assumptions: (5)

(i) Wind velocity is in only y -direction.

(ii) Mass transfer due to bulk motion in the y -direction overshadows the

contributions due to mass diffusion.

(iii) Motion is in steady state.

(iv) Wind speed is constant.

(v) Diffusivities are constant in all the directions.

2. (a) Find the equilibrium price in a perfectly competitive market with the supply function

( ) ( 3/)4

2

S p = − p + and the demand function D( p) = − p + .2 Using the static

criterion of Walras, determine whether the price is stable or not.

1. (a) A body is falling free in a vacuum. The fall is necessarily related to the gravitational

acceleration g and the height h from which the body is dropped. Use dimensional

analysis to show that the velocity V of the falling body satisfies the relation

V / gh = constant.

Which of the following statements is INCORRECT about the purposes of assessment in emergent mathematics? 1) Assessment is used to guide teachers in their instructional planning. 2) Assessment is used to identify children who must be retained the following year. 3) Assessment is used for grading purposes. 4) Assessment helps teachers to evaluate their own teaching or programme.

Which one is NOT a method of assessment in emergent mathematics? 1) Observation 2) Oral discussion 3) Portfolio 4) Milestone

. Brandon’s response “Let’s join two shoe boxes together. It’s about the same size as the cereal box, just a little bigger” and “Let’s put the toothpaste box here in front,” explains his understanding of: 1) Estimation and prediction 2) Prediction and ordering 3) Estimation and positionality 4) Estimation and ordering 

Compute for the pH and % ionization of a 0.75% v/v of a 150 ml diluted formic acid solution with a SG of 1.22 g/ml. kaformic acid = 1.77x10-4 

Students will exhibit the use of mathematical reasoning and problem-solving skills to a range of issues encompassing political sciences, technology and the arts through mini-magazine

Students will exhibit the use of mathematical reasoning and problem- solving skills to a range of issues encompassing political through mini- magazine