rational method coefficients

(ii) Find the values of the constants L and M by comparing the co-efficients of like powers of x on both sides. (iv) The integrals in the form are easily integrabl..

The first term in the expansion of (a + b) n is n C 0 a n b 0 . For the second term, the coefficient is taken as n C 1 , the power of 'a' is decreased by one and the power of 'b' is increased by one. So, the second term is n C 1 a n - 1 b 1 . For the third term, the coeff..

A teacher decides to examine the hypothesis between the test scores and the overall grade point average for each student for the whole year. Find t test value and test the significance of the correlation coefficient using the P-value method. r = 0.43, ∝ = 0.02, n = 5. => 0...

Finding the solution by the method of substitution. (i) Coefficients of one of the variables (say x) in the two equations are made equal, by multiplying them with suitable factor..

Method of writing expansion for (a+b) n - Method of writing expansion for (a+b) n The first term in the expansion of (a + b) n is n C 0 a n b 0 . For the second term, the coefficient is taken as n C 1 , the power of 'a' is decreased by one and the power of 'b' is incre..

Critical Velocity - Critical velocity is the velocity of a liquid flow upto which its flow is streamlined and after which its flow becomes turbulent. The critical velocity depends on coefficient of viscosity ' h ', density of the liquid ' r ', and radius of the tube (r). Using the me..

Summary Simultaneous Equations - Finding the solution by the method of substitution. Finding the solution by the method of substitution. (i) Coefficients of one of the variables (say x) in the two equations are made equal, by multiplying them with suitable factors. (ii..

Formation of quadratic equations from given roots and conditions - Formation of quadratic equations from given roots and conditions. i) The quadratic equations whose roots are a and b is where S = sum of roots and P = product of roots ii) Quadratic equations with real coefficients, the co..

Stokes' Law - When small spherical bodies move through a viscous medium, the bodies drag the layers of the medium that are in contact with them. This dragging results in relative motion between different layers, which are away from the body. Therefore, a viscous drag comes into play, opposing the m..

>As is known, EMF is induced in a circuit only when amount of magnetic flux with the circuit changes. As f =BA cos q , therefore, three methods of producing induced EMF are (i) by changing B (ii) by changing A and (iii) by changing q . When a conductor of length l moves with a velocity V ..