Financing System -Income and Saving

Financing system:
When our income is more than our need,we need financing institutions
to save that money and to earn profit from that.Thus the financing
institutions keep our surplus income or saving as deposits and lend it
to the persons who need money.Therefore the process of collecting
money as deposits and providing loans, is known as financing system.
Thus the process of maintaining balance between demand and supply of
wealth or capital in the economy is called financing system.

M.P.BOARD 10th Class Syllabus

1.Linear Equations in Two Variables
2.Polynomials & Rational Expression
3.Ratio and Proportion
4.Quadratic Equations
5.Commercial Maths
6.Similar Triangles
7.Circles
8.Constructions
9.Trigonometry
10.Height and Distance
11.Mensuration
12.Statistics & Probability

M.P.BOARD 12th Class Syllabus

12th Class Syllabus
1.Partial Fraction
2.Three Dimensional Geometry
3.The Plane
4.Straight Line & Sphere
5.Vectors
6.Vector Products
7.Application of Vectors in three Dimensional Geometry
8.Inverse Trigonometric Functions
9.Functions,Limits & Continuity
10.Differentiation
11.Harder Differentiations
12.Applications of Derivatives
13.Integration
14.Harder Integration
15.Definite Integrations
16.Differential Equations
17.Correlation
18.Regression
19.Probability
20.Numerical Methods

M.P.Board Syllabus

11th Class Syllabus
1.Complex Numbers
2.(A)Special Simultaneous equations in three Variables and their Solutios
(B)Theory of Quadrctic Equations
3.Arithmetic Progression and Harmonic Progression
4.Geometric Progression and Special Series
5.Determinants
6.Matrices
7.Cartesian Co-ordinates of Points
8.Straight Lines
9.Pair of Lines
10.Circle
11.Conic Section
12.Trigonometric Functions
13.Trigonometricall Identities,Graphs and Equations
14.Properties of triangle and solution of Triangles
15.Height and Distance
16.Statistics
17.Permutations and Combinations
18.Mathematical Induction and Binomial Theorem
19.(A)Linear Inequalities(B)Linear Programming
20.Exponential and Logarithmic Series

Taylor's Theorem

Taylor's Theorem
Suppose we're working with a function f(x) that is continuous and has n + 1 continuous
derivatives on an interval about x = 0. We can approximate f near 0 by a polynomial Pn(x)
of degree n:

For n = 0, the best constant approximation near 0 is
P0(x) = f(0)
which matches f at 0.

For n = 1, the best linear approximation near 0 is
P1(x) = f(0) + f0(0)x:
Note that P1 matches f at 0 and P01 matches f0 at 0.

For n = 2, the best quadratic approximation near 0 is
P2(x) = f(0) + f0(0)x +
f00(0)
2!
x2: