Introduction
When some data is colleted, we have certain numbers which represent the characteristics of the data, around which the data appears to be concentrated, we call such numbers as the measures of central tendency. There are three measures of central tendency. (i) Mean (ii) Median and (iii) Mode. In..
Some Special Types of Integrals
Following are few special integrals which can be integrated by using integration by parts (i) Prove th..
Following are few special integrals which can be integrated by using integration by parts (i) Prove th..Principle of Mathematical Induction (PMI)
Principle of Mathematical Induction (PMI) - (i) P(1) is true (ii) P(r) is true P(r+1) is tr..
Principle of Mathematical Induction (PMI) - (i) P(1) is true (ii) P(r) is true P(r+1) is tr..Methods of producing induced emf
The three methods of producing induced EMF are by: (i) Changing the magnitude of magnetic field B (ii) Changing the area..
The three methods of producing induced EMF are by: (i) Changing the magnitude of magnetic field B (ii) Changing the area..Examples:
i) A sequence of multiples of 5 5, 10, 15, 20, ii) A sequence of reciprocals of positive integers The above two sequences are clearly the infinite sequence..
i) A sequence of multiples of 5 5, 10, 15, 20, ii) A sequence of reciprocals of positive integers The above two sequences are clearly the infinite sequence..Step 2
Balance each half reaction separately as: (i) Balance all atoms other than H and O (already done) (ii) Add electrons to make up the difference in oxidation number, (iii) Balance the charges (already done) (iv) No need to add water. The balanced oxidation half reaction is: (i) Bal..
Balance each half reaction separately as: (i) Balance all atoms other than H and O (already done) (ii) Add electrons to make up the difference in oxidation number, (iii) Balance the charges (already done) (iv) No need to add water. The balanced oxidation half reaction is: (i) Bal..Definition 3 (Degree of a Differential Equation)
The degree of a differential equation is the highest power of the highest order derivative after making the equation free from radicals and fractional indices as far as the derivatives are concerned. In other words, the degree of a differential equation whose terms are polynomial in the derivative..
The degree of a differential equation is the highest power of the highest order derivative after making the equation free from radicals and fractional indices as far as the derivatives are concerned. In other words, the degree of a differential equation whose terms are polynomial in the derivative..1)
Consider the equation x = 0, x = 1, y = 0, y = -2. i) x = 0 represents y-axis. ii) x = 1 represents line parallel to y-axis. iii) y = 0 represents x-axis. iv) y = -2 represents line parallel to x-axis...
Consider the equation x = 0, x = 1, y = 0, y = -2. i) x = 0 represents y-axis. ii) x = 1 represents line parallel to y-axis. iii) y = 0 represents x-axis. iv) y = -2 represents line parallel to x-axis...Theorem 3: (Second Derivative Test)
Let f be a differentiable function on an interval I and let a I. Let f "(a) be continuous at a. Then i) 'a' is a point of local maxima if f '(a) = 0 and f "(a) < 0 ii) 'a' is a point of local minima if f '(a) = 0 and f "(a) > 0 iii) The test fails if f '(a) = 0 and f "(a) = 0. In this ca..
Let f be a differentiable function on an interval I and let a I. Let f "(a) be continuous at a. Then i) 'a' is a point of local maxima if f '(a) = 0 and f "(a) < 0 ii) 'a' is a point of local minima if f '(a) = 0 and f "(a) > 0 iii) The test fails if f '(a) = 0 and f "(a) = 0. In this ca..Summary
The Arithmetic mean is obtained by dividing the sum of all the items in the list by the total number of items. Direct method M = Where x is mid-interval f is frequency M is mean Short cut method where A = assumed mean d = x - A Step deviation method Where i = class size ..
The Arithmetic mean is obtained by dividing the sum of all the items in the list by the total number of items. Direct method M = Where x is mid-interval f is frequency M is mean Short cut method where A = assumed mean d = x - A Step deviation method Where i = class size .. Result
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