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1. Find a relation R such that 𝑥+𝑦 2 >1 if A = {0,1, 2} and B ={0, 1, 2, 3}.
A. Try these! 1. Find a relation R such that 𝑥+𝑦 2 >1 if A = {0,1, 2} and B ={0, 1, 2, 3}. 2. Find a relation R such that y is a power of x if A = {1, 2, 3} and B = {1, 4, 5, 9}
(4x -6y-1) dx + (3x –2y-2) dy = 0
1) The interest on $120 for 8months is $3.60, find the rate % p.a
2) Pie = 3.14159, e= 2.71828, find pie^2 ÷ e^3 to 3 figures
3) Solve (2x-1)(8x+3)= (4x-1)^2
1) If bc=b-c and c=-1, find the value of bc
2)Factorise x^2+(a-b)x-ab
3) If x= 1/2y, express (x-y)(x^2-y^2)(x^3-y^3) in terms of y.
Solve the initial value problem y"-3y'-2y=0; y(0)=1, y(3)=0
a) Define differentiation and integration in calculus. Also write down the
differences between them.
b) Write down some application of Calculus in CSE.
c) Describe geometrical meaning of definite integral with figure.
Find ∂ϕ
∂x
∂ϕ∂x where ϕ=x
2
+y
2
In 12 consecutive innings during a season a batsman’s scores were:
6, 13, 16, 45, 93, 0, 62, 87, 136, 25, 14, 31.
Find his (i) mean score
