Rita, Mathematics

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Differentiate hyperbolic functions, Differentiate following functions. (...

Differentiate following functions. (a)  f ( x ) = 2 x 5 cosh x (b) h (t ) = sinh t / t + 1 Solution (a) f ′ ( x ) = 10x 4 cosh x + 2x 5 sinh x (b) h′ (t ) = (t

Evaluate the log function, Evaluate the log function: Calculate 3log 1...

Evaluate the log function: Calculate 3log 10 2. Solution: Rule 3.             log  (A n ) = nlog b   A 3log 10  2 = log 10 (2 3 ) = log 10   8 = 0.903

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

Introduction to addition and subtraction, INTRODUCTION :  When a child of ...

INTRODUCTION :  When a child of seven isn't able to solve the sum 23+9, what could the reasons be? When she is asked to subtract 9 from 16, why does she write 9 - 16 = 13 ?

Properties of exponential form, Properties 1.   The domain of the logar...

Properties 1.   The domain of the logarithm function is (0, ∞ ) .  In other terms, we can just plug positive numbers into a logarithm! We can't plug in zero or a negative numbe

Application of linear function, four times an unknown number is equal to tw...

four times an unknown number is equal to twice the sum of five and that unknown number

Fractions, what is greater than three forths

what is greater than three forths

Indices, advantages and disadvantages of paasche and laspeyres indices

advantages and disadvantages of paasche and laspeyres indices

Distinct roots, There actually isn't a whole lot to do throughout this case...

There actually isn't a whole lot to do throughout this case.  We'll find two solutions which will form a basic set of solutions and therefore our general solution will be as,

Percent of a number, Pay $40 for plan offered for $30 for plan what percent...

Pay $40 for plan offered for $30 for plan what percentage of savings

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