ĐỀ THI, BÀ TẬP, TÀI LIỆU THAM KHẢO,
Created by T Madas Question 209 (****) y C y = 22 − x − x x R O A B D The figure above shows part of the curve with equation y = 22 − x − , x>0 x The curve meets the x axis at A and B The point C lies on the curve where x = a) Verify that the coordinates of B are ( 4,0 ) b) Find an equation of the tangent to the curve at C The tangent to the curve at C crosses the x axis at the point D The finite region R , shown shaded in the above figure, is bounded by the curve, the tangent to the curve at C and the x axis c) Determine the exact area of R ( ) SYN-Q , y + x = 16 , D 16 ,0 , area = 23 3 Created by T Madas Created by T Madas Question 210 (****) y= a) Find an expression for b) Show that the value of d2y dx d2y dx − x3 , x ≠ x where dy = , is −6 dx d2y dx Created by T Madas = x −3 − Created by T Madas Question 211 (****) The curve C has equation y = 2x , x ≥ Find an equation of the normal to C at the point where x = , giving the answer in the form y = mx + c , where m and c are constants MP1-J , y = − x Created by T Madas