Support3 - 2 For each of the following quadratics(a determine whether the quadratic crosses the x-axis(b the point where its slope is zero and(c

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Support Class 3. 1. Di/erentiate the following functions with respect to x : (i) y = 1+2x (ii) y=1+2x+3x 2 (iii) y=a+bx where a; b are constants (iv) y=1+ 1 x this time using the product rule (v) y=x(1+x) (vi) y=(1+x)(2+x) (vii) y= 1 x (1 + x ) (viii) y=(1+x 2 )(2 + 3 x ) (ix) y=(a+bx)(c+dx) where a,b,c,d are constants and now with the quotient rule (x) y= 1+ x 2+ x (xi) y= 1+ x x (xii) y= x 1+ x (xiii) y= 1+2 x 1+ x : Note the answer to (iv),(vii),(xi) is the same. Often there are several ways to solve a problem. The skill is using the simplest method, thus reducing the chance of making a mistake.
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Unformatted text preview: 2. For each of the following quadratics (a) determine whether the quadratic crosses the x-axis, (b) the point where its slope is zero and (c) sketch its graph. (i) y=-2+x+x 2 (ii) y=-3+4x-x 2 (iii) y=1+x 2 : 3. Consider the following functions: y = 1 + x y = 9 & 5 x + x 2 : Solve mathematically for the points at which these two functions intersect. Show the second equation (the quadratic function) does not intersect the x-axis. Plot these two functions on the same graph. 1...
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This note was uploaded on 12/31/2011 for the course ECON MR 102 taught by Professor Huyduong during the Winter '11 term at RMIT Vietnam.

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