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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-

Quadriatic-equations, Q. a(b - c)x^2 + b(c - a)x + c(a - b) = 0 has equal r...

Q. a(b - c)x^2 + b(c - a)x + c(a - b) = 0 has equal roots then b = ? Ans: Condition that a quadratic equation ax² + bx + c = 0 has equal roots is: Its discriminant, b² - 4ac = 0 A

Differentiate exponential functions, Differentiate following functions. ...

Differentiate following functions. (a)    R ( w) = 4 w - 5 log 9 w (b)   f ( x ) = 3e x + 10x 3 ln x Solution :  (a) It will be the only example which doesn't includ

Economics, A mortgage lender seeks to maximize the expected value of its po...

A mortgage lender seeks to maximize the expected value of its portfolio. The portfolio, of course, is the sum of all of the mortgages in it, so no generality is lost by examining t

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Explain Similar Figures in similarity ? Similar figures are figures that have the same shape but not necessarily the same size, so the image of a figure is similar to the orig

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John was doing his homework on vertical addition, and had to compute : 5 3+ 3 4  and 6 8 +45 He did the first one easily, just the way his teacher had taught him. He first ad

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Provide the vector for each of the following. (a) The vector from (2, -7, 0) -  (1, - 3, - 5 ) (b) The vector from (1,-3,-5) - (2, - 7, 0) (c) The position vector for ( -

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