Calculus, Mathematics

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Pair of straight line, The equation ax2 + 2hxy + by2 =0 represents a pair o...

The equation ax2 + 2hxy + by2 =0 represents a pair of straight lines passing through the origin and its angle is tan q = ±2root under h2-ab/(a+b) and even the eqn ax2+2hxy+by2+2gx+

Find var (3x+8) where x is a random variable, If Var(x) = 4, find Var (3x+8...

If Var(x) = 4, find Var (3x+8), where X is a random variable. Var (ax+b) = a 2 Var x Var (3x+8) = 3 2 Var x = 36

Determine equation of tangent line, Determine equation of the tangent line ...

Determine equation of the tangent line to f (x) = 4x - 8 √x  at x = 16 . Solution : We already know that the equation of a tangent line is specified by,

Square the next consecutive integer find the lesser integer, The square of ...

The square of one integer is 55 less than the square of the next consecutive integer. Find the lesser integer. Let x = the lesser integer and let x + 1 = the greater integer. T

Example of graphical technique of linear equations, Explain the Graphical T...

Explain the Graphical Technique of Linear Equations by using this figure.

Rules of logarithms, Rule 1 The logarithm of 1 to any base is 0. Pro...

Rule 1 The logarithm of 1 to any base is 0. Proof We know that any number raised to zero equals 1. That is, a 0 = 1, where "a" takes any value. Therefore, the loga

Explain the algebraic expressions and equations, Explain the Algebraic Expr...

Explain the Algebraic Expressions and Equations? Writing a math problem algebraically means that you are using numbers and variables to represent relationships. "Three inche

Find least number of cables required to connect 100 computer, Find out the ...

Find out the least number of cables required to connect 100 computers to 20 printers to assurance that 20 computers can directly access 20 different printers.  Justify your answer.

One integer is two more than another what is greater integer, One integer i...

One integer is two more than another. The sum of the lesser integer and double the greater is 7. What is the greater integer? Let x = the greater integer and y = the lesser int

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