C3 Algebraic fractions and Exp/Logs
 C3 Algebraic fractions and Exponential/Log functions Find the value of the constants, A, B, C and D in the following identity:  x3-6x2+11x+2≡(x-2)(Ax2+ Bx+ C)+ DABCD Find the vlaue of the constants, A, B, C and D where:  4x3-6x2+8x-5  can be written as Ax2+Bx+c+  D2x+1ABCD2x+1 If logx y=2 :x=2yx=y2y=2x x2=y x3-3x2+6x-2 has remainder 2 when divided by:x+1xx-1x+2 The graph of y= ex +1 crosses the y-axis at y= The graph of y= 4e-2x crosses the y-axis at y= The graph of y= -ex +1 crosses the y-axis at y= The horizontal asymptote is at y =The graph of y= 3ex +2 crosses the y-axis   at y= The graph of y= 50ex -5   crosses the y-axis   at y=The horizontal asymptote is at y = C3 Algebraic fractions and Exponential/Log functionsThe graph of y= 20e-x +10 crosses the y-axis   at y=The horizontal asymptote is at y = Find A to the nearest pound: Find the investment value after 10 years:The value of an investment varies according to the formulae  V=Ae(t/12)with the investment worth £8000 after 3 years(answers to nearest pound) The graph of y= ln(x) crosses the x-axis   at x=The vertical asymptote is at x = The graph of y= ln(-x) crosses the x-axis   at x=The vertical asymptote is at x = The graph of y= ln(x-2) crosses the x-axis   at x=The vertical asymptote is at x = Solve the equation ln(3x+2) = 1, giving your answer to 2dp Solve the equation ex +e-x =2, (giving your answer to the nearest whole number). Solve the equation ln 2 +ln x = 4, (giving your answer to the nearest whole number).
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