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Union and Intersection - Set theory
B ∩ C indicates the intersection of B and C. it is the set having all those elements that belong to both B and C
If B = {5, 8, 11, 20, 25} and
C = {1, 3, 5, 7, 9, 11, 13}
Then B ∩ C = {5, 11}
B U C = {1, 3, 5, 7, 8, 9, 11, 13, 20 25}
Velocity and Acceleration - Three Dimensional Space In this part we need to take a look at the velocity and acceleration of a moving object. From Calculus I we are famili
Determine the inverse of the following matrix, if it exists. We first form the new matrix through tacking onto the 3 x 3 identity matrix to this matrix. It is, We
Problem1: Find the general solution on -π/2 Dy/dx +(tan x)y =(sin 2 x)y 4
At the school bookstore and two binders and three pens cost $12.50. Three binders and five pens cost $19.50. What is the approximate cost of 1 binder and 1 pen? Let x = the cos
Calculate the edges in an undirected graph along with two vertices of degree 7, four vertices of degree 5, and the remaining four vertices of degree are 6? Ans: Total degree of
Derivative and Differentiation The process of acquiring the derivative of a function or slope or gradient is referred to as differentiation or derivation. The derivative is de
OTHER WAYS TO AID LEARNING : Here we shall pay particular attention to the need for repetition, learning from other children, and utilising errors for learning.
Proof of the Derivative of a Constant : d(c)/dx = 0 It is very easy to prove by using the definition of the derivative therefore define, f(x) = c and the utilize the definiti
If 4x^4+9x^4=64 then the maximum value of x^2+y^2 is solution) From the eq. finding the value of x^2 and putting it in x^2 + y^2.we get 2nd eq. differentiating that and putting
Let a = 5200 and b = 1320. (a) If a is the dividend and b is the divisor, determine the quotient q and remainder r. (b) Use the Euclidean Algorithm to find gcd(a; b). (c)
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