operation research, Mathematics

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Find out the volume of the solid -x = (y - 2)2, Find out the volume of th...

Find out the volume of the solid obtained by rotating the region bounded by x =  (y - 2) 2 and  y = x around the line y = -1. Solution : We have to first get the intersection

Evaluate the slope of the tangent line, Evaluate the given limits, showing ...

Evaluate the given limits, showing all working: Using first principles (i.e. the method used in Example 1, Washington 2009, Using definition to find derivative ) find the

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

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

Equation, how do you slove 4u-5=2u-13

how do you slove 4u-5=2u-13

Example of word problems involving money, Example of Word Problems Involvin...

Example of Word Problems Involving Money: A collection of coins consists of nickels, dimes & quarters. The number of quarters is double the number of nickels, and the number o

Find the exact points and factorise , Consider the function f(x) = x 2 - 2...

Consider the function f(x) = x 2 - 2x - 1. (a) Factorise f(x) exactly. (b) Find the exact points (x and y coordinates required) where the graph of y = f(x) cuts the x and y-

Graph all four vectors on similar axis system, The vector a → =(2,4) compu...

The vector a → =(2,4) compute 3a → , ½ a → and -2a → . Graph all four vectors on similar axis system. Solution: Now here are the three scalar Multiplication 3a → = (6,

Addition of like terms with same signs, Case 1: Suppose we are given...

Case 1: Suppose we are given expressions like 3abc and 7abc and asked to compute their sum. If this is the case we should not worry much. Because adding like exp

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