Math Answers

1. Use any strategy to teach compensation concept of 453+96 to a grade five class. Explain the process in full. State the purpose of teaching compensation in mathematics. (2)

2 The traditional way of teaching mathematics is to make learners memories concept. Student invented strategies is suggested in the teaching and learning of mathematics concept. In your view, do you think this new strategy will assist in the development of understanding of mathematics.

Let X and Y be two independent, nonnegative integer-valued random variables whose distribution has the property

P( X=x|X+Y=x+y)= binom m x binom n y binom m+n x+y

for all nonnegative integers x and y where m and n are given positive integers. Assume that P(X = 0) and P(Y = 0) are strictly positive. Show that both X and Y have binomial distributions with the same parameter p, the other parameters being m and n respectively.

Determine the present value of INR 2500 invested today assuming a rate of return of 10%. Define the concept of Present value. Compute- the Present value received one year from now, received at the end of 5 years, received at the end of 10 years. Discuss with reason, which of the three value, is the lowest one

Find the absolute maxima and minima of the function on the given domain

T(x, y) = x

2 + xy + y

2 − 6x + 2 on the rectangular plane 0 ≤ x ≤ 5, −3 ≤ y ≤ 3.

The abscisaa greater than the ordinate

Apply second substitution theorem evaluate

i) integral 1 to 9 (√ t)/(2+√t)

Find the relative extrema for

i) 𝑓( 𝑥 )= 𝑥^3 − 3𝑥 + 5

𝑖𝑖) f(x)=𝑥^4 + 2𝑥^2 − 4

Determine whether the following functions are differentiable

i) 𝑓 (𝑥 )= |𝑥|;

ii) 𝑔(𝑥) = |𝑥| +| 𝑥 + 1 |

iii) h(x) = x^1/3

If I: = [0,4], calculate the norms of the following partitions:

a) P1: = (0,1,2,4)

b) P2: = (0,2,3,4)

c) P3: = (0,1,1.5,2,3.4,4)

d) P4: = (0,.5,2.5,3.5,4)

If dy/dx= x-x²/2x⁴ and y=2 when x=1 to express y in terms of x.